Solve for d. -19= d/7- 21

Answers

Answer 1
D is equal to 14

You need to isolate the variable (d) by doing the same thing on both sides to cancel out the other numbers. Then you will get your answer.

Next I checked my work by putting the answer I got back into the original equation and making sure it would work
Solve For D. -19= D/7- 21
Answer 2
D=14 is correct answer

Related Questions

Write an explicit and a recursive formula for each sequence.
41. 2, 4, 6, 8, 10....
42. 0, 6, 12, 18, 24,...
43.-5.-4,-3,-2.-1...
44. -4,-8,-12,-16, -20,...
45. - 5,-3.5,-2,-0.5,1,...
46.-32,-20,-8, 4, 16, ...
47. 1,11/3,12/3,2,...
48. 0,1/8,1/4,3/8,...
49. 27, 15, 3,-9, -21....​

Answers

Answer:

41. 12, 14

42. 30, 36

43. 0, 1

44. -24, -28

45. 2.5 , 4

46.

47.

48.

49. 63 , 189

Step-by-step explanation:

I don't know answers to 46 , 47 , 48

please make my answer as brainelist

Answer:

Hello,

Step-by-step explanation:

41)

[tex]2,4,6,8,10,...\\\\u_0=2 , u_{n+1}=u_n+2\\\\u_n=2*n+2\\\\[/tex]

42)

[tex]0,6,12,18,24,...\\\\u_0=0 , u_{n+1}=u_n+6\\\\u_n=6*n+0\\\\[/tex]

43)

[tex]-5,-4,-3,-2,-1,...\\\\u_0=-5 , u_{n+1}=u_n+1\\\\u_n=1*n-5=n-5\\\\[/tex]

44)

[tex]-4,-8,-12,-16,-20,...\\\\u_0=-4 , u_{n+1}=u_n-4\\\\u_n=-4*n-4\\\\[/tex]

45)

[tex]-5,-3.5,-2,-0.5,1,...\\\\u_0=-5 , u_{n+1}=u_n+1.5\\\\u_n=1.5*n-5\\\\[/tex]

46)

[tex]-32,-20,-8,4,16,...\\\\u_0=-32 , u_{n+1}=u_n+8\\\\u_n=8*n-32\\\\[/tex]

48)

[tex]0,\dfrac{1}{8},\dfrac{2}{8},\dfrac{3}{8},...\\\\u_0=0 , u_{n+1}=u_n+\dfrac{1}{8}\\\\u_n=\dfrac{1}{8}*n+0\\\\[/tex]

49)

[tex]27,15,3,-9,-21,...\\\\u_0=27 , u_{n+1}=u_n-12\\\\u_n=-12*n+27\\\\[/tex]

47) be carefull this is not a arithmetic sequence but a quadratic.

I show you the general method.

[tex]\begin{array}{c|c|c|c}x&\Delta_1&\Delta_2&\Delta_3\\--&--&--&--\\1&.&.&.\\&&&\\\dfrac{11}{3} &\dfrac{8}{3} &.&.\\&&&\\4 &\dfrac{1}{3}&\dfrac{-7}{3} &.\\&&&\\2 &-2 &\dfrac{-7}{3}&0\\&&&\\--&--&--&--\\\end {array} \\\\Since\ \Delta_3\ is\ null,\ u_n=a*n^2+b*n+c\ has\ for\ degree\ 2.\\[/tex]

[tex]\begin {array} {c|c|c|c|c}n&u_n&equation&\\--&--&-----&\\0&1&=a*0+b*0+c &c=1\\1&\dfrac{11}{3}&=a*1+b*1+c&a+b=\dfrac{8}{3} \\2&4&=a*4+b*2+c&4a+2b=3\\\end {array}\\\\\\\left\{\begin {array} {ccc}4a+2b&=&3\\a+b&=&\dfrac{8}{3}\\\end {array} \right.\\\\\\\left\{\begin {array} {ccc}a&=&\dfrac{-7}{6}\\\\b&=&\dfrac{23}{6}\\\\c&=&1\\\\\end {array} \right.\\\\\\\boxed{u_n=\dfrac{-7}{6}*n^2+\dfrac{23}{6}*n+1} \\[/tex]

[tex]u_n=\dfrac{-7}{6}*n^2+\dfrac{23}{6}*n+1}\\\\u_{n+1}=\dfrac{-7}{6}*(n+1)^2+\dfrac{23}{6}*(n+1)+1}\\\\u_{n+2}=\dfrac{-7}{6}*(n+2)^2+\dfrac{23}{6}*(n+2)+1}\\\\\Delta_1(n)=u_{n+1}-u_{n}=\dfrac{-7}{6}*(2n+1)+\dfrac{23}{6}\\\Delta_1(n+1)=u_{n+2}-u_{n+1}=\dfrac{-7}{6}*(2n+3)+\dfrac{23}{6}\\\\\Delta_2(n)=\Delta_1(n+1)-\Delta_1(n)=\dfrac{-7}{6}*2 \\[/tex]

[tex]\left\{\begin{array}{ccc}u_{n+2}-2u_{n+1}+u_n&=&\dfrac{-7}{3} \\\\u_0&=&1\\\\u_1&=&\dfrac{11}{3} \end {array} \right.[/tex]

A bag has six balls labeled A, B, C, D, E , F.
One ball will be randomly picked, and its letter will be recorded as the outcome.

Give the sample space describing all possible outcomes. Then give all of the outcomes for the event of choosing a letter from D to F.

If there is more than one element in the set, separate them with commas.

Answers

The sample space for the events are given as follows -

Picking up a one ball randomly from six balls -

S [1] = {A, B, C, D, E , F}

Picking up a one ball randomly from balls D to F -

S [2] = {D, E , F}

What is Probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

Given in the question a bag has six balls labeled A, B, C, D, E , F and one ball is randomly picked.

Sample space is defined as the set of all the outcomes for a given event. In the question given, the event is picking up of a ball randomly. A total number of six balls are there in the bag. Therefore, if a ball is picked up randomly, it could be any of the six. Therefore - the sample space for this event will be -

S [1] = {A, B, C, D, E , F}

Now, for the event of choosing a letter from D to F, we have total three outcomes. So in this case the sample space will be -

S [2] = {D, E , F}

Therefore, the sample space for the events are given as follows -

Picking up a one ball randomly from six balls -

S [1] = {A, B, C, D, E , F}

Picking up a one ball randomly from balls D to F -

S [2] = {D, E , F}

To solve more questions on Sample space, visit the link below-

https://brainly.com/question/8675889

#SPJ1

3. For the sequence
60, 90, 135, 202.5 ...
A. Find the next term (write your answer as a decimal):
B. Is the sequence arithmetic or geometric?
C. Write a recursive function for the sequence.

Answers

a. The next term in the sequence is 303.75.

b. The sequence is a geometric sequence.

c. The recursive function for the sequence is: aₙ = aₙ₋₁ (1.5) for n≥2.

Given the sequence is : 60,90,135,202.5,....

a. the next term in the sequence is:

Find the common ratio by dividing any term in the sequence by the term that comes before it:

a₂/a₁ = 90/60 = 1.5

a₃/a₂ = 135/90 = 1.5

a₄/a₃ = 202.5/135 = 1.5

The common ratio (r) of the sequence is constant and equals the quotient of two consecutive terms.

r = 1.5

find the sum:

To find the sum of the series, plug the first term: a = 60, the common ratio(r): 1.5 and the number of elements n = 4 into the geometric series sum formula:

Sₙ = a(1₋rⁿ/1₋r)

Sₙ = 60(1 ₋ 1.5⁴/1₋1.5)

Sₙ = 60(1 ₋ 5.0625/1₋1.5)

S₄ = 60(8.125)

S₄ = 478.5

To find the general form of the series, plug the first term:

aₙ = 60×1.5ⁿ⁻¹

use the general form to find the next term:

a₁ = 60

a₂ = a₁rⁿ⁻¹ = 60(1.5)¹ = 90

a₃ = a₁rⁿ⁻¹ = 60(1.5)² = 135

a₄ = a₁rⁿ⁻¹ = 60(1.5)³ = 202.5

a₄ = a₁rⁿ⁻¹ = 60(1.5)⁴ = 303.75

hence the required next term is 303.75

(b) The above sequence is geometric sequence.

(c) recursive function for the sequence : aₙ = aₙ₋₁ (1.5) for n≥2.

Hence we get the required answers.

Learn more about Geometric progressions here:

brainly.com/question/24643676

#SPJ9


Find the indicated term of each arithmetic sequence. a₁ =k+7, d=2 k-5 ; a₁₁

Answers

The value of term a11 is 21k - 43.

How to find the value of term a9?

The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same value.

The formula of Arithmetic progression is

a(n) = a1 + (n - 1)d

given that the term of arithmetic sequence and common difference,

a1 = k+7 and d = 2k-5.

now find the value of term a11.

a(n) = a1 + (n - 1)d

now, substitute a(n) = a11, a1 = k+7, d = 2k-5.

a11 = k+7 + (11 - 1)(2k-5)

a11 = k + 7 + 10(2k-5)

a11 = k +7+ 20k - 50

a11 = 21k - 43

Hence,The value of term a11 is 21k - 43.

Learn more about Arithmetic progression from here:

https://brainly.com/question/6561461

#SPJ4

can someone help to solve this question?​

Answers

Using a system of equations, the prices are given as follows:

Reference: RM15.Exercise: RM9.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Variable x: Cost of a reference book.Variable y: Cost of an exercise book.

3 reference and 2 exercise cost RM63, hence:

3x + 2y = 63.

5 reference and 3 exercise cost RM102, hence:

5x + 3y = 102.

Multiplying the first equation by 3 and the second by -2, we have that:

9x + 6y = 189.-10x - 6y = -204.

Adding them:

-x = -15 -> x = 15.

Hence:

3(15) + 2y = 63

2y = 18.

y = 9.

Hence the costs are:

Reference: RM15.Exercise: RM9.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

For every $2 that Miguel saves his parents give him $4 if Miguel saves $60 how much money will his parents give him

Answers

60/2 equals 30 then 30x4 is 120. Is parents give him a 120$


Evaluate each expression for the given values of the variables.
4a+7b+3 a-2 b+2 a ; a=-5 and b=3

Answers

The result of the expression 4a+7b+3a-2b+2a for the variables a= -5 and b= 3 is -30

Given,

The algebraic expression = 4a+7b+3a-2b+2a

Rearrange the terms

=4a+3a+2a+7b-2b

Combine the like terms

=9a+5b

We know

a= -5

b= 3

Substitute the values in the expression

9(-5)+5(3)= -45+15

=-30

Hence, the result of the expression 4a+7b+3a-2b+2a for the variables a= -5 and b= 3 is -30

Learn more about algebraic expression here

brainly.com/question/19245500

#SPJ4

your bank gives you 50 points for monthly online bill pay, 50 points for monthly mobile deposits, 100 points per car payment, and 1.5 points per dollar credit card spent. You had monthly credit card charges of $1,400 last month. You earn $75 per 10,000 points. How much in dollars did you earn from points last month?
a) $17.25
b) $23.50
c) $75.00
d) $200.00

Answers

The amount that you earned last month would be the total of $17.25

How to solve for the earning

We have the following data

online pay bill per month = 50

The monthly online deposit = 50

The points that are made per car payment = 100

The point that is made per credit card = 1.5 points

The monthly credit card charges of $1,400

The monthly point would be 1400 * 1.5 = $2100

We have to solve for the total points

= 50 + 50 + 100 + 2100

= 2300

We have  $75 per 10,000

For 2300 points, this would be 75/10000 * 2300

= $17.25                                          

Hence the amount that is made in dollars from the points in the last month is $17.25

Read more on amount here:        

https://brainly.com/question/14475576

#SPJ1  


Find the coordinates of the midpoint of a segment with the given endpoints. A(-28,8), C(-10,2)

Answers

The coordinates of the midpoint of a segment with the given endpoints will be (-19, 5).

What is the mid-point of the line segment?

Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).

Then the coordinate of the mid-point of the line segment is given as,

(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]

The endpoints are A(-28, 8) and C(-10, 2).

Then the coordinates of the midpoint of a segment with the given endpoints will be

(x, y) = [(-28 - 10) / 2, (8 + 2) / 2]

(x, y) = (-38/2, 10/2)

(x, y) = (-19, 5)

The coordinates of the midpoint of a segment with the given endpoints will be (-19, 5).

More about the mid-point of the line segment link is given below.

brainly.com/question/17188072

#SPJ4

Help Please
A garden is in the shape of a square with a perimeter of 68 feet. The garden is surrounded by two fences. One fence is around the perimeter of the garden, whereas the second fence is 2 feet from the first fence on the outside. If the material used to build the two fences is $1.31per foot, what was the total cost of the fences? It costs $____ to build the fences.

Answers

Answer:

Step-by-step explanation:

68 / 4 = 17 = length or width (because it is a square both are the same)

19 + 2 = 19

4(19) = 76 (perimeter of outer fence)

68(1.31) + 76(1.31) = $188.64


Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning. (Lesson 7-2)
A right triangle and an isosceles triangle

Answers

Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

A right triangle is a triangle with one of the angle equals to 90 degree.A right triangle can be isosceles if and only if two acute angles are congruent to each other.If a right triangle is isosceles then they are similar.Through the transformation of dilation one can map one triangle onto others.

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

Learn more about polygons here

brainly.com/question/28276384

#SPJ4


Write a two-column proof.
Given: MN ≅ PN, LM ≅ LP
Prove: ∠ L N M ≅ ∠ L N P

Answers

SSS postulate of congruence, to prove ∠ L N M ≅ ∠ L N P.

What do you mean by congruent?

Two figures are said to be "congruent" if they can be positioned perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

In triangles MLN and PLN,

MN ≅ PN,

LM ≅ LP

To prove :

Δ MLN ≅ Δ PLN

  Statement                                              Reason

1. LN ≅ LN                                           1. Common segment

2. MN ≅ PN;                                        2. Given

LM ≅ LP

3. Δ MLN ≅ Δ PLN                              3. SSS  postulate of congruence,

Learn more about congruence

brainly.com/question/12413243

#SPJ4

The mean test score of 10 students is 50 marks.
A student joins the class.
The mean of all 11 students is now 55 marks.

Find the test score of the student who joined the class.

Answers

Answer:

105.

Step-by-step explanation:

Total score for 10 students = 50 * 10 = 500.

When 1 student joins:

mean score = (500 + x) / 11 = 55    where x is the test score of the new student.

500 + x = 55 * 11

x  = 55*11 - 500

  =  605 - 500

   = 105.

In the given case , we can conclude The test score of the student who joined the class is 105 marks.

Let's solve this problem step by step:

The mean test score of the first 10 students is 50 marks. Therefore, the total marks scored by these 10 students is 10 x 50 = 500 marks.

When the new student joins, the mean score of all 11 students becomes 55 marks.

Therefore, the total marks scored by all 11 students is 11 x 55 = 605 marks.

To find the test score of the new student, we subtract the total marks of the first 10 students from the total marks of all 11 students: 605 - 500 = 105 marks.

Therefore, the test score of the student who joined the class is 105 marks.

Learn more about Test score calculation here:

https://brainly.com/question/32890361

#SPJ3

Calculate the distance between the points A (-4, 2) and B (15, 6). Round your answer to the nearest tenth, if necessary.

Answers

Answer:

19.4

Step-by-step explanation:

The distance between the x coordinates of -4 and 15 would be 19 and the distance between the y coordinates of 2 and 6 would be 4.  We can use these to draw a right triangle.  The legs would be 19 and 4.  We would use the Pythagorean Theorem to find the hypotenuse.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]

[tex]19^{2}[/tex] + [tex]4^{2}[/tex] = [tex]c^{2}[/tex]

361 + 16 = [tex]c^{2}[/tex]

377 =[tex]c^{2}[/tex]

[tex]\sqrt{377}[/tex] = [tex]\sqrt{c^{2} }[/tex]

19.4 ≈ c  That is our answer rounded to the nearest tenth

If K is the midpoint of JL, JK=8x+11 and KL=14x-1, find JL.

Answers

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

What is the numerical value of segment JL?

A midpoint is simply a point that divides a segment into two equal halves.

Given the data in the question;

K is the midpoint on segment JLSegment JK = 8x + 11 Segment KL= 14x - 1Numerical value of segment JL = ?

Given that K is the midpoint on segment JL, this means segment JK is divided into two equal halves, Segment JK is equal to Segment KL.

Segment JK = Segment KL

8x + 11 = 14x - 1

Collect like terms

8x - 14x = -1 - 11

-6x = -12

x = -12/-6

x = 2

Hence, the numerical values of Segment JK and Segment KL will be;

Segment JK = 8x + 11 = 8(2) + 11 = 16 + 11 = 27

Segment KL = 14x - 1 = 14(2) - 1 = 28 - 1 = 27

Since Segment JK and Segment KL makes up segment JL, the numerical  value of Segment JL is the sum of Segment JK and Segment KL.

Segment JL = 27 + 27 = 54

Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.

Learn more about midpoint here: https://brainly.com/question/4747771

#SPJ1

Find the circumference and area of circle A if each unit on the graph measures 1 centimeter. Round answers to the nearest tenth, if necessary. A(2,3) B (4,1). A is the middle.

Answers

The circumference of the circle is approximately 17.6 cm  and the area is approximately 24.6 cm²

The perimeter of a circle or an ellipse in geometry is known as the circumference. That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge.

The circumference of a circle is calculated by the formula 2πr .

The given coordinates are A(2,3) and B(4,1)

Here A is the center of the circle and B is any point on the circumference.

Now to calculate the radius we will use the distance formula:

therefore radius [tex]AB=\sqrt{(3-1)^2+(2-4)^2}[/tex]

[tex]or,AB=\sqrt{4+4}\\ \\or, AB=2.828[/tex]

[tex]or, AB\approx2.8[/tex]

Now let us calculate the circumference of the circle:

Circumference = 2πr

or, circumference = 2 × π × 2.8 = 17.592

or, circumference ≈ 17.6 cm

Area = π r²

or, Area = π (2.8)²

or, Area = 24.630 cm²

or, Area ≈ 24.6 cm²

The circumference of the circle is approximately 17.6 cm and the area is approximately 24.6 cm².

To learn more about circumference visit:

https://brainly.com/question/12512221

#SPJ1

PLEASE ANSWER CORRECTLY Finding the initial amount and rate of change given a table for a linear function

Answers

The initial amount and rate of change given a table for a linear function are $1160 and -$30, respectively

How to find the initial amount and rate of change given a table for a linear function?

The table of linear function represents the given parameter

On the table, we have the following points

(x, y) = (6, 980) and (12, 800)

The rate of change is calculated as

Rate = (y2 - y1)/(x2 - x1)

So, we have

Rate = (980 - 800)/(6 - 12)

Evaluate

Rate = -30

This means that the rate of change is -$22.5

The initial amount is calculated as

y = m(x - x1) + y1

Where

m = -30

So, we have

y = -30(x - x1) + y1

Using one of the points, we have

y = -30(x - 6) + 980

Set x = 0

So, we have

y = -30(0 - 6) + 980

Evaluate

y = 1160

Hence, the initial amount and rate of change given a table for a linear function are $1160 and -$30, respectively

Read more about linear functions at

https://brainly.com/question/15602982

#SPJ1

a $5000
How much interest is earned an
depus it at 4.5% interest over 6 Years?
4.5
= 0.045

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ t=years\dotfill &6 \end{cases} \\\\\\ I = (5000)(0.045)(6) \implies I = 1350[/tex]

Please answer best answer = brainliest

Answers

(a) A = 1/2 (bh)

(b) b = P/R

(c) 8?

At a football stadium, 5% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?

Answers

Answer:

5200 people

Step-by-step explanation:

1. Divide 100 by 5 (How many sets of 5 are there in 100)

100/5 = 20

2. Multiply 260 by 20 (To find the number of people, you need to find 100%)

260*20 = 5200

Answer:

5200

Step-by-step explanation:

URGENTTT ! PLEASE HELP :(((

Answers

1. 9miles

2. 6miles

3. 3miles

Answer the question on the screenshot PLEASEEEEEEEE

Answers

The numeric values for the given function are as follows:

a) f(2.7) = 10.

b) f(1.9) = 7.

c) f(-3.6) = -14.4.

How to find the numeric value of a function/expression?

To find the numeric value of a function, we replace each instance of the variable by the desired value.

For this problem, the function is defined as follows:

f(x) = int(4x).

The function int(x) has the output as the largest integer that is less or equal to the value of x.

Hence the numeric values are given by:

f(2.7) = int(4 x 2.7) = int(10.8) = 10.f(1.9) = int(4 x 1.9) = int(7.6) = 7.f(-3.6) = int(4 x -3.6) = int(-14.4) = -15.

More can be learned about the numeric values of a function at brainly.com/question/28367050

#SPJ1


Evaluate each series to the given term. -5-25-45- . . . . . ; 9 th term

Answers

The sum of the 9 terms of the given series -5-25-45- . . . . is -765

The given series is:

-5-25-45- . . .

and there are 9 terms.

Notice that the given series is an arithmetic series with:

first term, a(1) = -5

common difference, d = -25 - (-5) = -20

Recall the formula for the nth term of an arithmetic series:

a(n) = a(1) + (n - 1) . d

Substitute a(1) = -5, d = -20, and n = 9 into the formula:

a(9) = -5 + (9 - 1) . (-20)

a(9) = - 5 + (-160)

a(9) = -165

To find the sum of the series, use the sum formula:

S(n) = n/2 [(a(1) + a(n)]

with n = 9.

Hence,

S(9) = 9/2 [-5 + (-165)]

S(9) = -765

Learn more about sum of a series here:

https://brainly.com/question/24579279

#SPJ4

HELP ITS URGENT! AND HAVE A GOOD DAY

Answers

i think it would be d. not sure though
I actually just answered this same one for someone, but it’s D

Suppose you work for a packaging company and are designing a box that has a rectangular bottom with a perimeter of 36 cm . The box must be 4cm high. What dimensions give the maximum volume?

b. What information can you get from the function to find the maximum volume?

Answers

The dimension that give the maximum volume will be the sides.

The volume will be 324cm³.

How to calculate the value?

It should be noted that the maximum value is when the rectangle is a square.

Let s be the side of the square.

The perimeter will be 4s.

Solving for s:

= 36/4

= 9cm

It should be noted that area = s²

where s = side

= 9² = 81cm

Therefore, the volume will be

= Area × Side

= 81 × 4

= 324cm³

Learn more about volume on:

brainly.com/question/1972490

#SPJ1

solve quickly pls no work needed just answer

Answers

Answer:

the answer is 5.

Step-by-step explanation:

used math-way to solve

What's total amount of rope that extends to the two stakes supporting tree in trigonometry?

Answers

According to the question, the total amount of rope needed to extend the two stakes supporting the tree in trigonometry can be determined by using the functions sine and cosine.

Explain trigonometric function with example.

If the rope can be tied with the tree trunk then the staked rope makes an angle with respect to the ground. And it can be calculated with the help of the trigonometric functions. And it states that the ratio of the length of the opposite sides and the hypotenuse of the right angle triangle. And the result of the ratio is sine function.

Therefore, the total amount of two ropes needed so that it extends to the two stakes of the supporting trees.

To learn more about the trigonometric function from the given link:

https://brainly.com/question/7331447

#SPJ4


Simplify each expression. 2x + 3y - 5x + 2y

Answers

Answer: −

3

x

+

5

y

Step-by-step explanation:

Determine a base and a height for

Answers

Height= 4 units
Base= 6 units
Área = 1/2• 6 • 4= 12 square units

Solve each system by substitution. Check your answers.
x+3y = 7 , 2x - 4y = 24

Answers

By substitution, the solution of the system of equations, x + 3y = 7 and 2x - 4y = 24, is (10 , -1).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

x + 3y = 7     (equation 1)

2x - 4y = 24     (equation 2)

Using the first equation, find the value of one variable, lets say x, in terms of the other.

x + 3y = 7     (equation 1)

x = 7 - 3y

Substitute the equation of x to the second equation.

2x - 4y = 24     (equation 2)

2(7 - 3y) - 4y = 24

14 - 6y - 4y = 24

Combining all terms containing the variable y on one side and the constants on the other side of the equality, and solving for y.

14 - 6y - 4y = 24

-6y - 4y = 24 - 14

-10y = 10

y = -1

Substitute the value of y in the equation of x.

x = 7 - 3y

x = 7 - 3(-1)

x = 7 - (-3)

x = 10

Hence, the solution of the given system of equations is (10 , -1).

To learn more about solving systems of equations: brainly.com/question/25869125

#SPJ4

Other Questions
Devices which collect personal health data are:___.a. outdated. b. never going to be used. c. cool.d. wearable. For questions 1-4, use the word "PROBABILITY.". What are the possible outcomes of choosing a letter randomly?2. which outcomes have more than one possibility?3.How many outcomes are included in the event that a consonant is chosen? how can bad friends influence your self esteem Find the surface area of the composite figure. What is the LCM of the expressions?b. x + 3x - 4, x + 2x - 8 , and x - 4x + 4 -10 -8 -6 -42y10-8+642-024600810f2 4 6 8 10Rotate line f 90 degrees clockwise() around the point (2,2).abel your new line with f'.What is the relationship between f and f'?ect line facross the x axis.el your new line with f"".it is the relationship between f and f""?tate line f 180 degrees clockwise() around the point (2,2).pel your new line with f".at is the relationship between f and f"?B-X HELP PLISSSSSSS How many different compounds (isomers) are there that fit the description of a bromo-chlorobenzene? 1) A 14.24 pound bag of cheese is split among5 pizzas. How much cheese is on each pizza? If you really want to remember some information long-term, which of the following strategies would be the best way to learn it? Psychological soundness, autonomy, and self-acceptance are components of which dimension of wellness? What are some great secondary sources for the Silk Road and how it originated The students in a school are all invited to participate in a survey. 48% of the students at the school are males, of whom 16% will participate in the survey. 35% of the females will also participate in the survey. A student is randomly chosen from the school. Find the probability that the student:a) will participate in the survey What individuals in a hospital or er setting can prescribe medication? (select all that apply) Which of the following are complex sentences?Select all that apply.We could go to the library, or we could go skateboard in the park.My friend who met me at camp is coming over.Since he was like that, I decide not to bother him.No one answered when I called the house.You tell him Ill take over from here and try to undo the damage. There are three sections of College Algebra at StellarUniversity. Section B has twice as many students as section Ahas. Section C is has greater than or equal to the number ofstudents enrolled in section A plus B.If there are 24 students in section C, what is the maximumnumber of students that could be in section A? Which xxx and yyy will find the minimum value of all the elements in the array? choices are in the form xxx / yyy. The expression 41253gives the perimeter of the base of a cube with a volume of 125 cubic inches. What is the length, in inches, of the perimeter of its base? Based on the article, which is most likely to happen?A. Reggaeton's popularity will decrease as more popsuperstars perform it.B. Reggaeton will continue to change as it mixes withother musical styles.C. Reggaeton's "dembow" beat will be replaced with a newrhythm.D. Reggaeton will return to using traditional instrumentsinstead of synthesizers. The points I, J, K and L all lie on the same line segment, in that order, such that the ratio IJ:JK:KL is equal to 2:5:5 IfIL=60, find KL. Which of the following is a counterexample for this conditional statement?If a number is positive, then it is spelled without the letter 'e'.612 4