13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)

Answers

Answer 1

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].


Related Questions


Find the midpoint of the segment with the following endpoints.
(-8, 7) and (0,1)

Answers

Answer:

(-4,4)

Step-by-step explanation:

To find the x coordinate of the midpoints, add the x coordinates of the endpoints and divide by 2

(-8+0)/2 = -8/2 = -4

To find the y coordinate of the midpoints, add the y coordinates of the endpoints and divide by 2

( 7+1)/2 = 8/2  =4

(-4,4)

A table is made using the following two patterns.
Pattern 2: Starting number: 5, Rule: Multiply by 3
1
Pattern y: Starting number: 20, Rule: Multiply by
2
Complete the table for the given patterns.
C
y
5
20

Answers

Answer:

    x              y

    5            20

    15           10

    45           5

Step-by-step explanation:

Pattern x:

Start with 5.

Multiply by 3: 5 * 3 = 15

Multiply by 3: 15 * 3 = 45

Pattern x:

Start with 20.

Multiply by 1/2: 20 * 1/2 = 10

Multiply by 1/2: 10 * 1/2 = 5

    x              y

    5            20

    15           10

    45           5

need some help with this​

Answers

Answer:

A horizontal line has a slope of zero

Step-by-step explanation:

Let’s start by some examples!

We’re going to use two points that identify that a horizontal line has a slope of zero

Two points will be: (7, 4) & (7, -6)

Then use the Slope-Formula to identify the slope

Slope = change in y/change in x

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

Slope = (-6 - 4)/(7 - 7)

Slope = -10/0

Slope = 0

Therefore, a horizontal line has a slope of zero

Answer:

Zero (0)

Step-by-step explanation:

Horizontal lines have no steepness at all because any calculation the slope of line means dividing zero by another number to the answer is always zero

divide 12by8 and 4by3​

Answers

12by8=1.5 4by3=1.3 1.5by1.3=1.12

Given the arithmetic sequence 2, -7, -16, -25, ..., determine the
general term tn.

Answers

Answer:

Step-by-step explanation:

Common difference is -9.

t_1 = 2

t_n = t_1 - (n-1)9

= t_1 - (9n - 9)

= 2 - (9n - 9)

= 11 - 9n

Answer problem below

Answers

9514 1404 393

Answer:

  17.078 square units

Step-by-step explanation:

The area of a segment is given by the formula ...

  A = 1/2r²(θ -sin(θ)) . . . . where θ is in radians

The angle θ is 48°, or π(48°/180°) radians = 4π/15 radians.

Then the segment area is ...

  A = (1/2)(19²)(4π/15 -sin(48°)) = 17.078 . . . square units

Please help me. Taylor pays $5.25 for 5 yard of frabric.Whats the cost per yard?



Thank you!

Answers

Answer:

$1.05 per yard

Step-by-step explanation:

5.25 ÷ 5 = 1.05

Answer:

$1.05 per yard.

Step-by-step explanation:

find unit rate; (cost / quantity)

5.25 / 5 = 1.05

Can someone help me pls

Answers

Answer:

No solution

Step-by-step explanation:

A solution for a system of equations entails that all variables are the same. In this case, it means that both x and y must be the same.

Looking at the graph, there is no spot where y=3x+3 and 3x-y=2 intersect

To confirm, we can look at the equations. If we make them both equal to y, we can set them equal to each other.

For y=3x+3, this is already set to y. For 3x-y=2, we can add y to both sides and subtract 2 from both sides to get

3x-2=y

3x+3=y

Since the x and y values must be the same, we can say that

3x-2=3x+3

subtract 3x from both sides

-2 = 3

Since -2 is not equal to 3, we can confirm that there are no solutions to this system of equations

John read the first 144 pages of a novel, which was 3 pages less than 1/3 of the novel. Write an equation to determine the total number of pages (p in the novel.
Find the total number of pages in the novel.

Answers

Answer: 441 pages

Step-by-step explanation:

[tex]\frac{1}{3}p-3=144\\\frac{1}{3}p=147\\3(\frac{1}{3})p=147(3)\\p=441[/tex]

In a purely monopolistic market with a demand curve P = -Q / 10 + 2000, to maximize profit the firm provides the application at the output level:

Answers

Answer: hello your question lacks some data hence I will be making an assumption to help resolve the problem within the scope of the question

answer:

≈ 95 units ( output level )

Step-by-step explanation:

Given data :

P = 2000 - Q/10

TC = 2Q^2 + 10Q + 200 ( assumed value )

The output level where a purely monopolistic market will maximize profit

at MR = MC

P = 2000 - Q/10 ------ ( 1 )

PQ = 2000Q - Q^2 / 10 ( aka TR )

MR = d (TR ) / dQ = 2000 - 2Q/10 = 2000 - Q/5

TC = 2Q^2 + 10Q + 200 ---- ( 2 )

MC = d (TC) / dQ = 4Q + 10

equating MR = MC

2000 - Q/5 = 4Q + 10

2000 - 10 = 4Q + Q/5

1990 = 20Q + Q

∴ Q = 1990 / 21 = 94.76 ≈ 95 units ( output level )

2. Find 3 rational number between:
1) -5 and -6 2) ( -1/7) and (1/8)
i need steps
explanation also pls guys

Answers

Step-by-step explanation:

between -5 and -62

-7,-10,-60...so..on

between -1/7 and 1/8

Multiply any number by number with both the numbers but it should be multiplied by both the numbers:

for example:

-1/7×3/3= -3/21 ; 1/8×3/3= 3/24

So,

-2/21,2/24,1/24

hope it helps

30 points please help
Find the volume of the pyramid.
76.34 ft3
458.06 ft3
916.11 ft3
305.37 ft3

Answers

Answer:

With the formula of lwh/3 the answer is 305.37

Step-by-step explanation:

l×w×h /3 =305.37

Answer:

916.11 ft³

Step-by-step explanation:

(9×6)×7.83/2×13/3

= 211.41×13/3

= 916.11 ft³

Answered by GAUTHMATH

Find the third angle of a triangle if two of its angles are equal to:

25 degrees and 80 degrees

and

25 degrees and 120 degrees

Answers

Answer:

60 degrees

Step-by-step explanation:

Answer:

75 degrees, 35 degrees

Step-by-step explanation:

a. Adding 25 degrees and 80 degrees yields 105 degrees.  The third angle of the given triangle must therefore be 180 degrees less 105 degrees, or 75 degrees.

b. Adding 25 degrees and 120 degrees yields 145 degrees.  The third angle of the given triangle must therefore be 180 degrees less 145 degrees, or 35 degrees.

Check if -2 is the solution of equation 2 – x = 4x + 3​

Answers

Answer:

7x the answer i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf -2 \ is \ not \ a \ solution}}[/tex]

Step-by-step explanation:

We are asked to check is -2 is the solution of the following equation.

[tex]2-x= 4x+3[/tex]

We must substitute -2 in for x and solve both sides of the equation. If the two sides are equal, then -2 is the solution.

[tex]2- (-2) = 4(-2)+3[/tex]

Solve both sides of the equation according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Let's start with the left side.

[tex]2+2= 4(-2)+3 \\[/tex]

[tex]4= 4(-2)+3[/tex]

Now solve the right side. Remember to multiply first.

[tex]4= -8+3[/tex]

[tex]4= -5[/tex]

[tex]4\neq -5[/tex]

4 is not equal to -5, so -2 is not the solution for this equation.

True or False:

4x and 4x2 are like terms

Answers

Actually its false

In algebra 4x and 4x² are two different terms and are not like terms.

Must click thanks and mark brainliest

The circumference of a circle is 16πw⁴.

Derive an expression for the area in terms of pi and w

Answers

Answer:

A = Pi (8 w**4)**2

Step-by-step explanation:

C = 16 Pi w**4 (given)

C = 2 Pi R (stand forula)

So then find R in terms of w by settting C = C from above

2 Pi r = 16 Pi w**4

2R = 16 w**4

R = 8 w**4

SO

A = Pi R**2

A = Pi (8 w**4)**2

-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11

Answers

Answer:

0.5013415404

Step-by-step explanation:

find the missing side. Round it to the nearest tenth.​

Answers

Answer:

19.1

Step-by-step explanation:

Answer:

x ≈ 19.1

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos33° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{x}[/tex] ( multiply both sides by x )

x × cos33° = 16 ( divide both sides by cos33° )

x = [tex]\frac{16}{cos33}[/tex] ≈ 19.1 ( to the nearest tenth )

Write an example of an equation for an exponential growth function

Answers

Answer:

f(x) = 2^x

Step-by-step explanation:

Determining the Domain and Range from a Graph
Determine the domain and range of the given function.
The domain is
ty
4
The range is
2
-4
-2
4
Into

Answers

Answer:

Domain is all real numbers, and range is all numbers greater than or equal to -2.  If thee was anything you didn't understand let me know.  

Step-by-step explanation:

The domain is what x values work, or it may be better to say the horizontal axis.  is there any number you cannot use?  if you cannot tell, this is a parabola, like x^2.  Is there any number you cannot plug into x^2.  The answer is no, the domain for all parabolic functions is all real numbers.

The range you really want to look at visually here.  Range is y values you can get, or values on the vertical axis.  I would also compare it to x^2 again.  You should know you can make it as high as you want, here is the same.  but at -2, there is no point below that.  so the range is -2 and up

The other options are just specific numbers.  you can disprove those by choosing a number not on their lists.  For the domain literally any other number.  For range any number not on the list greater than -2

Add.
(-2+6x3 – 3x_) + (4x3 – 5 + x²)
Express the answer in standard form.
Enter your answer in the box.

Answers

16-3x+4x-2+x^2

14+x+x^2

Viết phương trình đường thẳng biết
a) vuông góc với đường thẳng x+2y=1 và đi qua A(1;2)
b) đi qua gốc toạ độ và đi qua điểm M (-1;3)

Answers

Answer:

Step-by-step explanation:

a) 2x - y = 0

Justin is saving money to buy a stereo. He has $25 saved in the bank right now. He earns $40 each week delivering newspapers.

Let y = the total amount of money Justin has, and x is in weeks.

Answers

Y=40x+25 y is the total he has, 40x is he makes 40 per week, and 25 he already has

Ms. Dawson’s call did a science experiment. The class started out with 650 bacteria cells. The growth rate predicted was 4.5%. Sketch the graph that represents the situation. Label the y-intercept and the point that represents the projected bacteria population 30 h from the start of the experiment. Round to the nearest whole number.

Answers

Answer:

your slope would be 4.5.... so go up 4 and to the right 5. the y-intercept is 650 so that is where your line would start instead of at 0... hope this helped :)

Step-by-step explanation:

The exponential function gotten from the table is given by y = 650(1.045)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multipliers.

Let y represent the bacteria population after x hours.

The class started out with 650 bacteria cells.

a = 650

Growth rate = 4.5%

b = 100% + 4.5% = 104.5% = 1.045

The exponential function gotten from the table is given by y = 650(1.045)ˣ

After 30 hours:

y = 650(1.045)³⁰ = 2434

Find out more on exponential function at: https://brainly.com/question/12940982

what is 13.5/10 simplified

Answers

Answer:

27/20

Step-by-step explanation:

[tex]\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}[/tex]

13.5/20 simplified is 27/20

Double Tower of Hanoi: In this variation of the Tower of Hanoi there are three poles in a row and 2n disks, two of each of n different sizes, where n is any positive integer. Initially one of the poles contains all the disks placed on top of each other in pairs of decreasing size. Disks are transferred one by one from one pole to another, but at no time may a larger disk be placed on top of a smaller disk. However, a disk may be placed on top of one of the same size. Let tn be the minimum number of moves needed to transfer a tower of 2n disks from one pole to another.

a. Find q and t2.

b. Find t3.

c. Find a recurrence relation for t1, t2, t3, ....

Answers

Answer:

a) t1 = 2 , t2 = 6

b) t3 = 14

c)  recurrence relation ( Tn ) = 2Tn-1 + 2

Step-by-step explanation:

Tn = minimum number of moves needed

2n disks is moved from one pole to another

a) determine the value of t1 and t2

let n = 1

2n moves = 2 * 1 = 2

∴ t1 = 2

let n = 2

2n moves = 2*2 = 4

∴ t2 = 4 + t1 = 4 + 2 = 6

b) determine value of t3

let n = 3

2n moves = 2 * 3 = 6

∴ t3 = t1 + t2 + 6

       = 2 + 6 + 6 = 14

c) Determine th recurrence relation

let n ≥ 2  i.e. n - 1 ≥ 1

number of disk required to be moved = 2n

number disks as follows : 1 to 2n

the recurrence relation = sum of number of moves in each step

                                    Tn = Tn-1 + 2 + Tn -1

hence recurrence relation ( Tn ) = 2Tn-1 + 2   when all integers n ≥ 2

This...ik what mean is I'm just trying to find what the original numbers would be? ​

Answers

Answer:

17.5

Step-by-step explanation:

all the 10 numbers added together equal 10*16 = 160

-this is because all of the numbers added, and then divided by 10 equals 16

so the numbers in total, added equal 160.

subtract 20 (7+13) from 160 = 140

divide by 8

140/8 = 17.5

Answer
17.5


Explanation 17×5 is five but 2×5 is seven so 7×10 is 10

SOMEONE HELP ME PLEASE

Answers

Answer:

Step-by-step on:ơ

the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x​

Answers

Answer:

x + ×-4 > or =104

X> or =54

am I right please ?

Given :

the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x

Solution :

x + x - 4 = 104

2x - 4 = 104

2x = 108

x = 108/2

x = 54

Hence, the possible value for x is 54

Insert the missing number.
4
6 9 14
23
40
?
138
266

Answers

Answer: The missing number is 73

Step-by-step explanation:

Given:

4, 6, 9, 14, 23, 40, ?, 138, 266

Solve:

First, we try arithmetic patterns.

6 - 4 = 2

9 - 6 = 3

14 - 9 = 5

23 - 14 = 9

40 - 23 = 17

Clearly, there aren't arithmetic patterns.

Then, try through multiplication, exponents, and combination.

Finally, the pattern is multiplied by 2 on each number, then subtract 2 starting with 4 and add 1 for each increasing number.

4×2-2=6

6×2-3=9

9×2-4=14

As it goes on, the missing number would be:

40×2-7=73

Hope this helps!! :)

Please let me know if you have any questions

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