Find k so that the line through (-4,1) and (k,3) is perpendicular to 8x + 13y = 26

Answers

Answer 1

The value of K so that the line passing through (-4, 1) and (k, 3) is perpendicular to 8x + 13y = 26 is solved to be

k = 68/13

How to the value of K

A linear function consists of functions where the variables has exponents of 1. the relationship is expressed in the slope intercept form as below.

y = mx + c

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

c = y intercept

The given equation is rewritten in slope intercept form as follows

8x + 13y = 26

13y = 26 - 8x

y = 2 - 8/13 x

the slope is 8/13

For a perpendicular line the slope = -1/m

= -1/(8/13)

= -13/8

For a line to have a slope of -13/8, the points will be

-13/8 = (1 - 3) / (-4 - k)

cross multiplying

-13(-4 - k) = 8(1 - 3)

52 + 13k = -16

solving for k

13k = -16 - 52

13k = 68

k = 68/13

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Related Questions

SOEMOEN HELP ME WITH THE MATH PROBLME If x is 6, what is:
X 2

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I believe that the answer is 2x

Answer:

36

Step-by-step explanation:

The little number, called an exponent, tells you how many times to multiply the big number times itself. In this case, the exponent is 2. So the problem would be 6 x 6, which equals 36. Hope this helps!

It is given that y =x^2. If x is increased by 10%, find the percentage change in y.​

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Answer:

Step-by-step explanation:

y = x^2

X increased by 10% = 1.10x

(1.10x)^2 = 1.21x^2

y increases by 21%

What is the diameter or the radius?

Please help

Answers

Answer:

Radius, Diameter and Circumference

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

:)

Answer:

Radius = 8.7 cm

Step-by-step explanation:

The height and hypotenuse of the triangle is provided, so all we have to do is use the Pythagorean Theorem. [tex]\sqrt{15^{2}-12.2^{2}}[/tex] and this yields the answer.

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

1)105°

2) 45°

3)63°

4)108°

5)68°

Step-by-step explanation:

Hope this helps! :)

Some biologists believe the evolution of handedness is linked to complex behaviors such as tool-use. Under this theory, handedness would be genetically passed on from parents to children. That is, left-handed parents would be more likely to have lefthanded children than right-handed parents. An alternate theory asserts that handedness should be random, with left- and right-handedness equally likely. In a recent study using a simple random sample of n  76 right-handed parents, 50 of the children born were right-handed. ( pˆ =0.658 .) Suppose handedness is a random occurrence with either hand equally likely to be dominant, implying that the probability of a right-handed offspring is p =0.50.

Required:
a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.
b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?

Answers

Answer:

a) Since both np >= 5 and n(1-p) >= 5,  it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.

b) 0.5 = 50% probability of observing a sample proportion of at 0.658.

Step-by-step explanation:

a. Show that it is reasonable to approximate the sampling distribution of p̂ using a normal distribution.

We need that:

np >= 5

n(1-p) >= 5

Sample of 76, 50 of the children were born were right-handed.

So [tex]n = 76, p = \frac{50}{76} = 0.658[/tex]

np = 76*0.658 >= 5

n(1-p) = 76*0.342 >= 5

Since both np >= 5 and n(1-p) >= 5,  it is reasonable to approximate the sampling distribution of p^‚ using a normal distribution.

b. Assuming left- and right-handed children are equally likely from right-handed parents, what is the probability of observing a sample proportion of at least p̂ =0.658 ?

This is the mean, so 50% below and 50% above.

0.5 = 50% probability of observing a sample proportion of at 0.658.

I need help!
Benjamin had 1/3 of a can of paint left after he painted his room. Instead of throwing it away, he decided to use 3/4 of the remaining paint to make a picture for his sister. How much of the paint will he use to make the picture for his sister?

Answers

Answer:

1/4 of a can

Step-by-step explanation:

He had 1/3 of a can.

He used 3/4 of the 1/3 of the can.

He used 3/4 * 1/3 of a can.

3/4 * 1/3 = 3/12 = 1/4

Answer: 1/4 of a can

1. Is a triangle with side lengths 6, 4, 3 a right triangle? Why or why
not?

Answers

Answer:

no

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = 6 , then 6² = 36

4² + 3² = 16 + 9 = 25

Since 4² + 3² ≠ 6² then triangle is not right.

Please please give answer , the numbers on the side are the options

Answers

Answer:

24 tiles (none of the options given is correct)

Step-by-step explanation:

Number of tiles required to floor the room = area of the room/area of 1 tile

Area of the room = 36m * 24m = 864 m²

Area of 1 tile = 6² = 36 m²

Number of times required = 864/36 = 24 tiles

Identify the coefficients and constants in the expression. 2x – y + 5x

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I believe the answer is 7x-y

What do you get when you distribute the -4 to the (11 - 2x)

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-2 because you have to reduce

HELP PLEASEEEE

The larger of two number is ten more than three times the smaller number The sum of the two numbers is fifty four

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Answer:

hasta no se pero nimodoa esta bien adiós baybau

PLEASE HELP The value of x in A is _, and the value of y in B is_.

Answers

-7 and -25. Each number is multiplied by -5. The first section is A, and the second is -5A.

Does this graph show a function? Explain how you know.
The answer is B!

Answers

Answer:

The answer to this question would be B.

Step-by-step explanation:

Tysm for the points! :D

Answer:

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Step-by-step explanation:

How would the triangle be classified?

Answers

Answer:

B. Isosceles right triangle.

Step-by-step explanation:

The triangle given has two sides that have equal lengths. It also has a right angle.

An Isosceles triangle has two equal side lengths.

Therefore, since the triangle above has a right angle and has two equal side lengths, based on the side lengths, it can can be classified as an isosceles right triangle.

Is 5.3 a possible solution to x > 5 ?

Answers

Yes 5.3 is greater than 5

5.3 > 5

Answer:

yes, it is.

Step-by-step explanation:

its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!

Find m
3x-6
8x+4
130

Answers

12 lolllll I’m pretty sure

Answer:

<A = 30°

The steps are given in the pic. Hope it will help :)

A server sees 90 customers over 6 hours. How many customers did they see in 1 hour? *

Answers

Answer:

They saw 15 customers per hour.

Step-by-step explanation:

Fifteen customers
Because its 90 divided by 6 basically

3
What is the remainder when 2,308 is divided by
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Answers

Answer:

254 R 6

Step-by-step explanation:

Answer:

256 7/16

Step-by-step explanation:

2308/9 = 256 7/16

1000003842638476238476+2837428734682764283746

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Answer:

3.8374326e+21

Step-by-step explanation:

id.k goo.gle said this

At a party, the amount of people who ate chicken wings was 9 less than 3 of the total
number of people. The number of people who ate chicken wings was 2. Write and solve an equation
to find the number of people at the party. Let x represent the number of people at the party. Use pencil
and paper. Write a one-step equation that has the same solution.

Answers

Answer:

3-9= the number of people who at chicken wings and the number of people who ate chicken wings were 2. By the way i dont know if did my math absolutley correct. sry:(

express 75 as prodict of prime factor​

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75 = 1 x 75, 3 x 25,

or

75 = 3 xx 5^(2)

-2 3 8 у 126 12 Is the relationship linear, exponential , neither?

Answers

Answer: It neither

Step-by-step explanation:

because x part is linear while y part is neither linear or exponential.

They both are supposed to have the same relationship since They are not then it’s neither linear or exponential.

Hope it help.

Question 3 of 10
Which of the functions below could have created this graph?
O A. F(x)= x'- *°-38° +3
O B. F(x)== - 5x4 - 4x +5
O c. F(x)=x* +2x +5
O D. F(x) = -x"' +52° + 4

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

From the picture you provided, you choose option A, f(x) = x^7 - x^3 - 3x^2 + 3 . Hope that helped :)

The functions that could have created this graph is f(x) = x⁷-x³-3x²+3

What is a function?

A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation.

Given is a graph, we need to find its equation,

So, the graph is U-shaped, therefore, the leading coefficient is, a > 0

also, the graph does not have a zero at the origin,

The function which could possibly create the graph is the option; A.

F(x) = x⁷-x³-3x²+3

The leading coefficient is 1 > 0

The function has no factors of x = 0

The function has a linear factor.

Hence, the functions that could have created this graph is f(x) = x⁷-x³-3x²+3

Learn more about functions, click;

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Answers

Answer:

a

Step-by-step explanation:

the answer is a because the rrow is pointing right so the symbol is > and the point starts at -5

you work at a coffee house roasted coffee beans retain 3/5 of the initial weight approximately what percentage of the initial weight do they retain​

Answers

Answer:

they retain 3/5 or 60% of their initial weight

Step-by-step explanation:

Need help ASAP. Just solve what you can and make sure to tell me what is what.

100 POINTS

Answers

Answer:

9x3+5x2=37

8-(7-5)^2+8=12

10-3+5+5x4=32

ill solve rest in comments

9x3+5x2=37

8-(7-5)^2+8=12

10-3+5+5x4=32

2)Jeremy buys 5 pencils and a notebook. If each
pencil costs $0.59 and a notebook is $2. How
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Answers

Answer:

$4.95

Step-by-step explanation:

Answer:

4.59

Step-by-step explanation:

0.59x5=$2.95

2.95+2=4.59

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Answers

7.2x10=72
This should be the correct answer

HELP ME ANSWER THIS PLEASE!!!!!
Complete the proof that m

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huh?????????? there’s no picture

1. 3x = 18
2. 3 + x = 18
3. 17 - 6 = x
Help please

Answers

Answer:

1. 6

2. 15

3. 11

Step-by-step explanation:

1. x = 6
2. x = 15
3. x = 11
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