What are the x- and y-coordinates of point c, which partitions the directed line segment from a to b into the ratio 5:8? round to the nearest tenth, if necessary. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

Answers

Answer 1

The value of (x,y) is  (1.2 , -4.7) , Option D is the right answer.

The complete question is

On a coordinate plane, a line is drawn from point a to point b. point a is at (7, negative 2) and point b is at (negative 8, negative 9). what are the x- and y-coordinates of point c, which partitions the directed line segment from a to b into the ratio 5:8? round to the nearest tenth, if necessary. x = (startfraction m over m n endfraction) (x 2 minus x 1) x 1 y = (startfraction m over m n endfraction) (y 2 minus y 1) y 1 (–2.2, –6.3) (–2.4, –6.4) (2.7, –0.7) (1.2, –4.7)

What are Coordinates ?

Coordinates are the location of a point in an (x,y) plot.

The given data is

Coordinates of

A = (7,-2)

B = (-8,-9)

m:n = 5:8

The coordinates of partition has to be determined

The formula used is

[tex]\rm (x,y) = \dfrac{1}{m+n} *(nx_1 + mx_2 , ny_1+ny_2)\\\\\\\rm (x,y) = \dfrac{1}{5+8} *(5*-8 + 8*7 , 5*-9+8*-2)[/tex]

(x,y ) = (1.2 , -4.7)

Therefore Option D is the correct answer.

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Related Questions

I need help with a question

Answers

Answer:

y = 3

x = -15        

Step-by-step explanation:

When substituting, we want to get rid of one of the variables. (It's easiest ot find the variable in terms of other variable)

so, we know that...

 x + 5y = 0

    - 5y     - 5y

x = -5y

We can plug this x-value into the second equation to find our y-value:

 3y + 2x = -21

  3y + 2(-5y) = -21

3y - 10y = -21

      -7y = -21

     ÷ -7      ÷ -7

y = 3

So, if x = -5y,

x = -5y

x = -5(3)

x = -15

(we can test these values in one of the original equations):

    x + 5y = 0

(-15) + 5(3)= 0

-15 + 15 = 0

 {true}                        

so, y = 3 ; and x = -15    

hope this helps!! :)

y=3 x=-15 because that’s just the answer

Which function is positive for the entire interval [–3, –2]? On a coordinate plane, a curved line with a minimum value of (0, negative 3) crosses the x-axis at (negative 3, 0) and (3, 0), and crosses the y-axis at (0, negative 3). On a coordinate plane, a curved line with a minimum value of (2, negative 3) crosses the x-axis at (negative 1, 0) and (5, 0), and crosses the y-axis at (0, negative 1.5). On a coordinate plane, a curved line with a minimum value of (2, 4) and a maximum value of (0.5, 6), crosses the x-axis at (negative 1.5, 0) and crosses the y-axis at (0, 5). On a coordinate plane, a curved line with a minimum value of (negative 1.75, negative 3.9) and a maximum value of (0, 2), crosses the x-axis at (negative 2.2, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2). Mark this and return

Answers

The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

According to the question,

Four alternative graphs representing various functions are supplied to us; our task is to identify the function graph that is positive over the whole range [-3, -2]. A closed interval exists. Therefore, it includes both -3 and -2.The graph of the Y value must be in a positive area during this interval. Therefore, we must choose a function that is positive over the whole range [-3, -2].

Looking at the graph, we can see that the graph B has positive y-values in the range [-3, -2].

Hence The function is shown to be positive throughout the whole range [-3, -2] in graph (B).

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HELP ASAP/NOW....NO LINKS OR JOKING

for which value of x is F(x)=0

A. 3

B. -5

C. -3

D. -6

Answers

Answer:

 D) -6

Explanation:

f(x) = 0 suggests the x value which will make the function zero.

Find slope:

⇒ (y₂ - y₁)/(x₂-x₁)

⇒ (2 - 1)/(-2-(-4))

⇒     1/2

Equation:

⇒ y - 2 = 1/2(x - (-2))

⇒ y = x/2 + 3

f(x) = x/2 + 3

If f(x) = 0

x/2 + 3 = 0

x/2 = -3

x = -6

this ven diagram shows sports played by 10 students.

let event a = the student plays basketball

let event b = the student plays soccer

what is p(A/B)?

Answers

The answer is B because 4 x 5 is 20 times the amount of player 10

The average of three unique number is 50.if the loweat number is 30 what is the sum of other two numbers

Answers

Answer:

The sum of the other two numbers is 120.

Step-by-step explanation:

To find an average, you add all the numbers involved and divide it by the amount of numbers involved. in this case,

(x+y+z) ÷ 3 =50

x=30

Divide both sides by three to remove the denominator.

(30+y+z)÷ 3 (*3) = 50(*3)

(30+y+z)=150

Subtract 30 from both sides.

(30+y+z)-30= 150-30

y+z=120

Let f(r) = 42 - 5, find f(3).

Answers

F (x) = 4x - 5
F (3) just means substituting x with 3
For further please ask in question

PLEASE ANSWER ASAP!!!!!!
The function f(x)=−6sin(7/3x+1/6)−5 models the average rate of change in temperature of a substance monitored in an experiment. In the function, x represents the number of minutes since the commencement of the experiment and the temperature of the substance is measured in degrees Fahrenheit.

Over what range of temperatures does the average rate of change in temperature fall?

Enter a value in each box to correctly complete the statement.

The range in the average rate of change in temperature of the substance is from a low
temperature of ____ F to a high of ________ F

Answers

The range in the average rate of change in temperature of the substance is from a low temperature of 1 F to a high of -11 F.

What is a formula for Fahrenheit?

The conversion formula for a temperature that is expressed on the Celsius (°C) scale to its Fahrenheit (°F) ;

°F = (9/5 × °C) + 32.

Given function:

f(x)= -6 sin(7/3 x+ 1/6) -5

The function will be maximum at the 7/3 x +1/6= 3π/2

So, the maximum temperature will be

= -6 sin (3π/2) -5

= 6 -5

= 1 F

The function will be minimum at the 7/3 x +1/6= π/2

Therefore, the maximum temperature will be

= -6 sin (π/2) - 5

= -6 -5

= -11 F

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Factorise completely

qn: 12axy + 8bxy + 4xy

Answers

Answer:

Step-by-step explanation:

Answer:

4xy(3a+2b+1)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 -  What is the highest degree of [tex]a[/tex]  that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 -  What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of [tex]y[/tex]  that divides evenly into  12axy, 8bxy and 4xy?

It is y.

5 -  What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since [tex]b[/tex] is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]

3) Simplify each term in parentheses.

[tex]4xy(3a+2b+1)[/tex]

The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?

Answers

The inequality which expresses the solution to the task is; x < 7.

Which inequality expresses the solution to the graph?

According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;

let

The unknown number = x

sum of 8 and a number:

8 + x

sum of 8 and a number is less than 15:

8 + x < 15

x < 15 -8

x < 7.

Ultimately, the required inequality is; x < 7.

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If f = {(-1, 0), (-2, 2), (-3, 4), (-4, 6), (-5, 8)}, what is the range?

Answers

Answer:

{0, 2, 4, 6, 8 }

Step-by-step explanation:

the range is the y- coordinates of the ordered pairs , then

range { 0, 2, 4, 6, 8 }

another equation for y = 8x + 7

Answers

Linear function is the other equation

Which ordered pair is included in the solution set to the following system?

y > x2 + 1
y < x2 – x + 1


(–3, 4)
(–2, 6)
(0, 2)
(2, 4)

Answers

Answer:

The answer is (-2,6)

Step-by-step explanation:

Answer: (-2, 6)

Step-by-step explanation:

An easy way to solve this is to plug in each answer into the system of inequalities to figure out with ordered pair adheres to the rules of both equation.

Let's use the first ordered pair as an example: (-3,4)

Is this true?:

4 > (-3)² +1

4 < (-3)² - (-3) + 1

No, it is not:

4 < 10

4 < 13

Let's try the second answer:

Is this true?:

6 > (-2)² + 1

6 < (-2)² -(-2) + 1

YES, it is!

6 > 5

6 < 7

(-2, 6) is your answer. To check, verify that the last two answer choices are wrong.

A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

Answers

A circle of radius 1 is inscribed within a square. What is the probability that a randomly-selected point with the square is also within the circle?

[tex] {p}^{2} > {p}^{2} \: \: and \: \: p {1}^{2} - \: p {2}^{2} \: < \frac{1}{3} [/tex]

Step-by-step explanation:

HOPE ITS HELP

Two sets of values are given below.
set 1: 29 , 31 , 27 , 33 , 30
set 2: 33 , 31 , 26 , 31 , 29
Which of the following conclusions can be drawn about the means of these two sets?

A. The mean for set 2 is equal to the mean for set 1.
B. The medians of both sets are equal to the means of both sets.
C. The mean for set 2 is lower than the mean for set 1.
D. The mean for set 2 is higher than the mean for set 1.

Answers

The correct option is the mean for set 2 is equal to the mean for set 1. (option A).

What is the true option?

Mean is a measure of central tendency that is used to determine the average of a set of numbers.  

Mean = sum of the numbers / total number

Mean of set 1 = (29 + 31 + 27 + 33 + 30) / 5

= 150 / 5 = 30

Mean of set 1 = (33 + 31 + 26 + 31 + 29) / 5

= 150 / 5 = 30

Median is the measure of center of a dataset. It determines the value that is at the center of a dataset that is arranged in either ascending or descending order.

Set 1 arranged in ascending order : 27, 29, 30, 31, 33

Median of set 1 = 30

Set 2 arranged in ascending order : 26, 29, 31, 31, 33

Median of set 2 = 31

Differnce in the median = 31 - 30 = 1

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Topic: Speed
Subject: Mathematics
Answer the Question

Q1: Express each of the following in km/h

a: 8.4 km/min b: 315 m/s
c: 242 m/min d: 125 cm/s

Answers

Hope this helps you

........

Solve these 2 problems hurrry!!!!!

Answers

Answer:

question 3: n is bigger than or equal to 0

question 5: n is bigger than or equal to 0 (the same as question 3)

Step-by-step explanation:

solve the same way as a equation. just remember the symbols

Colton solved an equation incorrectly, as shown below: Step 1: x − 13 = 26 Step 2: x = 26 − 13 Step 3: x = 39 Which statement best explains why Step 2 is incorrect in Colton’s solution?

Answers

Answer:

Step 2 explains why Colton's solution is incorrect because he subtracted 13 on both sides instead of adding it on both sides.

Hope it helps!

Answer:

'Cause he didn't use the inverse operation! ^^

Step-by-step explanation:

Heres the correct way to solve it:

x-13=26

x=26+13

x=39

The correct way is to add 13 to both sides and not subtract.

--

Hope that this helped! Best wishes.

--

Drag each tile to the correct location. The labels can be used more than once.

Match each polynomial expression with its degree.

0, 1, 2

Answers

The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

What is the degree of a polynomial?

The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.

The degree of the given expressions are shown as follows:-

(x-9)                 →  degree 1,

(-4x²-6x+9)      → degree 2,

(x²-2x+9)         → degree 2,

(-3)                   → degree 0,

(3x-2)               → degree 1,

(6x+2)              → degree 1

(5)                    → degree 0.

Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.

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Plot the foci of the hyperbola represented by the equation x^2/625 − y^2/3600 =1 100pts

Answers

The attached image represents the foci of the hyperbola

How to determine the foci?

The equation of the hyperbola is given as:

[tex]\frac{x^2}{625} - \frac{y^2}{3600} = 1[/tex]

Rewrite as:

[tex]\frac{x^2}{25^2} - \frac{y^2}{60^2} = 1[/tex]

A hyperbola is represented as:

[tex]\frac{(x - h)^2}{b^2} - \frac{(y - k)^2}{a^2} = 1[/tex]

This means that:

h = 0

k = 0

b = 25

a = 60

Next, calculate c the distance from the center to the focus using:

[tex]c = \sqrt{a^2 -b^2}[/tex]

This gives

[tex]c = \sqrt{60^2 -25^2}[/tex]

Evaluate

[tex]c = \pm \sqrt{2975}[/tex]

This means that:

Foci = (0, -√2975) and (0, √2975)

See attachment for the hyperbola and the foci

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A trash can is in the shape of a cylinder. It has a radius of 2 feet and a height of 5 feet. What is the volume of the trash can? Round to the nearest tenth. Use 3.14 for pi

Answers

Answer: 62.8 cubic feet

Step-by-step explanation:

R is radius

H is height

R=2ft

H=5ft

V=(3.14)(2)^2(5)

V=62.8 cubic feet

Solve the following:
a) 4x 3= 2x + 7

b) 2x+6= 7x14

Answers

Correct question : 4x - 3 = 2x + 7

Solution : 4x - 3 = 2x + 7

[tex]4x - 2x = 7 + 3 \\ \\ 2x = 10 \\ \\ x = \frac{10}{2} \\ \\ x = 5.[/tex]

•••••••••••••••••••••••••••••••••••••••

Correct Question : 2x + 6 = 7x - 14

Solution : 2x + 6 = 7x - 14

[tex]2x - 7x = - 14 - 6 \\ \\ - 5x = - 20 \\ \\ x = \frac{20}{5} \\ \\ x = 4.[/tex]

Find each difference.
(-6s² + 12s-8) - (3s² +8s - 6) =
O-9s² + 4s-14
O-9s² + 4s-2
O-9s² + 20s - 14
O-9s² +20s-2
DONE ✔

Answers

Answer: [tex]-9s^2 + 4s-2[/tex]

Step-by-step explanation:

[tex](-6s^2 +12s-8)-(3s^2 + 8s-6)\\\\=-6s^2 + 12s-8-3s^2 - 8s+6\\\\=\boxed{-9s^2 +4s-2}[/tex]

PLEASE HELP FAST!!! A ladder leans against a building. The top of the ladder reaches a point on the building, which is 18 feet above the ground. The foot of the ladder is 7 feet from the building. Find the measure of the angle of elevation from the ground to the top of the ladder.

Answers

The measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

Angle of elevation and depression

These method is used to determine the side and angles of a triangle

From the question given, we have the following parameters

Base of the building = 7feet (Adjacent side)

Height of the building = 18 feet (Opposite side)

Required

angle of elevation of the building

Using the SineOppositeHypotenuse CosineAdjacentHypotenuse TangentOppositeAdjacent identity

tanФ = opp/adj

tanФ = 18/7

Ф = 68.73 degrees

Hence the measure of the angle of elevation from the ground to the top of the ladder is 68.73 degrees

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Chocolate cost $1.50 and was paid for with $5 which three coins were given as change

Answers

Answer: $3.5

Step-by-step explanation:

If a product cost $1.50 and you paid $5, the change will be equal to

$5 - $1.50 = $3.5 for change

Give me the hardest math equation you know and solve it
(Beware, if you joke and waste the points, I will not be very happy!)

Answers

1B + 26M - 26K

Answer That!! Hehehehe

Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ($505)((1+0.004) - 1) ? (0.004)(1+0.004) Question 9 of 10 Which of these groups of values plugged into the TVM Solver of a graphing calculator will return the same value for PV as the expression ( $ 505 ) ( ( 1 + 0.004 ) - 1 ) ? ( 0.004 ) ( 1 + 0.004 )​

Answers

The TVM solver is a tool found in graphing calculators, that solve Time Value of Money problems.

The group of values that will return the same value as the given expression is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

What is Present Value?

Present value (PV) formula finds application in finance to calculate the present day value of an amount that is received at a future date.

In the TVM solver, we have;

I = The annual percentage rate

N = n × t

t = The number of years

PV = Present value

PMT = Payment

P/Y = Number of payments per year = n

C/Y = Number of compounding periods per year = n

The formula for monthly payment is presented as follows;

[tex]P = \frac{M[(1+r/n)^{nt} - 1]}{(r/n)(1+r/n)^{nt}}[/tex]

M = [tex]\frac{P.(r/n)(1+ r/n)^{nt} }{(1+ r/n)^{nt} - 1}[/tex]

Therefore, we get;

Where;

M = PMT = -415

P = PV

r = I

P/Y = n = 12

Therefore;

0.003 = I/12

I = 0.003 X 12 = 3.6%

N = n X t = 24

The value of the equation is the present value, PV = ?

When payment are made based on the PV, we have FV = 0

The group of values the same value as the expression

P = [tex]\frac{(415)[(1+0.003)^{24}-1]}{(0.003)(1+0.003)^{24}}[/tex]

when plugged into the TVM solver of a calculator is;

D. N = 24; I% = 3.6; PV =; PMT = -415; FV = 0; P/Y = 12; C/Y = 12; PMT :END

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if x = 5 and y = 2 , work out the value of a) 3x+y b) 2x squared c) ( x-y) 2 squared out of the brackets

Answers

Answer:

a) 17

b) 50

c) 6

Step-by-step explanation:

a) 3x+y

3(5)+2

15+2

17

b) 2x²= 2×5²

2×25

50

c) (x-y)2= (5-2)2

(3)2

3×2

6

Given: JLM is equilateral. Z is the midpoint of JM.
Prove: JZL is congruent to MZL.

Answers

Proving Congruence

There are multiple ways to prove congruence between two triangles:

SSS - three sides are congruentSAS - two sides and the angle in between are congruentASA - two angles and the side in between are congruentAAS - two angles and one side are congruentHL - (applies only to right triangles) the hypotenuse and one leg are congruent.

Keep in mind that the order of the letters matters.

Solving the Question

Given triangle JLM, we know that

S - Z is the midpoint of JM, meaning JZ is congruent to MZ.S - Both triangles share side LZ.S - Because JLM is an equilateral triangle, LJ is congruent to LM.

This is only one of the ways to prove congruence with these two triangles.

The cost price of a radio is #1800.If it is to be sold again at a loss of 15%,how much would the customer pay for it?​
Pls I need your help it is urgent

Answers

Answer:

15/100*1800=15*1800/100=15*18=270

Step-by-step explanation:

1800-270=1530 therefore answer is 1530

The Law of Sines is used to solve missing side lengths in oblique triangles classified as SSS and SSA

True
False

Answers

Answer:

only AAS,ASA and SSA Are classified

It's false

Step-by-step explanation:

please mark me as brainlest

False

SSS is not classified

The key reason is the formula 's limitations

It need angle for Ø

As SSS means only three sides and no angles are given Law of sines can't be used

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