PLEASE ANSWER THIS ASAP

Given:

JK is formed by J(-12, 3) and K(8,-5).

Line r is the perpendicular bisector of JK.

To find:

The equation of line r is slope intercept form.

Solution:

Line r is the perpendicular bisector of JK. So, it passes through the midpoint of J and K.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-12+8}{2},\dfrac{3+(-5)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{-4}{2},\dfrac{-2}{2}\right)[/tex]

[tex]Midpoint=\left(-2,-1\right)[/tex]

Slope of JK is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{-5-3}{8-(-12)}[/tex]

[tex]m=\dfrac{-8}{20}[/tex]

[tex]m=\dfrac{-2}{5}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_1\times m_2=-1[/tex]

[tex]-\dfrac{2}{5}\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

The slope of perpendicular line r is [tex]\dfrac{5}{2}[/tex] and it passes through (-2,-1). So, the equation of perpendicular line is

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-1)=\dfrac{5}{2}(x-(-2))[/tex]

[tex]y+1=\dfrac{5}{2}(x+2)[/tex]

[tex]y+1=\dfrac{5}{2}x+5[/tex]

[tex]y=\dfrac{5}{2}x+5-1[/tex]

[tex]y=\dfrac{5}{2}x+4[/tex]

Therefore, the equation of line r is [tex]y=\dfrac{5}{2}x+4[/tex].

The required equation of line "r" in slope-intercept form is y = 5/2x + 15

First, we need to find the equation of a line in slope-intercept form as

y = mx + b

m is the slope of the line

b is the y-intercept

Given the coordinate points  J(-12, 3) and K(8,-5)

Get the slope of the line

Slope  = -5-3/8+12

Slope = -8/20

Slope - -2/5

Slope of the line "r" perpendicular is 5/2

Get the y-intercept of line r

Substitute (8, -5) and m = 5/2 into y = mx + b

-5 = -5/2(8) + b

-5 = -20 + b

b = 15

Hence the required equation of line "r" in slope-intercept form is y = 5/2x + 15

Learn more here; https://brainly.com/question/17003809

Answer:

d. Is the answer from this question

Step-by-step explanation:

3(5+7)-5

3*12-5

36-5

31

The expression 3(√25 + 7) - 5 has a value of 31 after applying arithmetic operation option (D) 3(√25 + 7) - 5 is correct.

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

An expression that has a value of 31

The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

A) 3√25 + 7-5

= 3(5) + 7 - 5

= 15 + 7 - 5

= 17

B) (3√25) +7-5

= (3x5) +7-5

= 15 +7-5

= 17

C) 3√25+ (7-5)

= 3x5 +2

= 17

D) 3(√25 + 7) - 5

= 3(5+7) - 5

= 36 - 5

= 31

Thus, the expression 3(√25 + 7) - 5 has a value of 31 after applying arithmetic operation option (D) 3(√25 + 7) - 5 is correct.

Learn more about the expression here:

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The answer to the equation is [tex]4^2=2^4[/tex]

[tex]4^2=16[/tex]

[tex]2^1= 2[/tex]

[tex]2^2=2*2=4[/tex]

[tex]2^3=2*2*2=8[/tex]

[tex]2^4=2*2*2*2=16[/tex]

Answer:

Step-by-step explanation:

Y=-4x

Step-by-step explanation:

Kx = u - y

Divide both sides by k

X = u - y

K

I think that's the answer

Hope it helps:)

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,4) and (4,-6)

The distance between them is

[tex]d = \sqrt{ ({3 - 4})^{2} + ({4 + 6})^{2} } \\ = \sqrt{ ({ - 1})^{2} + {10}^{2} } \\ = \sqrt{1 + 100 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{101} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{101} [/tex]

Hope this helps you

Answer:The first one is exponential. The second one is absolute value. The last one is linear

Step-by-step explanation:

If absolute value is not an option, call it linear

Answer:

0

Step-by-step explanation:

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{5-5}{-17-(-9)}=\frac{0}{-8} =0[/tex]

slope=0

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▹ Answer

x = -2

▹ Step-by-Step Explanation

4(x + 1) = -3x - 10

Distribute 4:

4x + 4 = -3x - 10

4x + 3x

Move the terms:

4x + 3x + 4 = -10

Collect like terms:

7x = -10 - 4

7x = -14

FINAL ANSWER:

x = -2

Hope this helps!

CloutAnswers ❁

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Answer:

its correct

Step-by-step explanation:

Answer:

I can help

Step-by-step explanation:

but i don't see the rest of the question lol

6 more than y :    

3 times a number:

x ← a number    

5 less than the product of 10 and c :

10c   ← the product of 10 and c

14 more than 6 times t :

6t  ← six times t

The sum of x and y is 18:

x+y    ← the sum of x and y

A number minus 12 is y:

x - a number

Answer:

Negative

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge2020

Answer:

-4n - 5

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Write expression

n + 4 - 9 - 5n

Step 2: Simplify

Answer" it is -34 because I added my x and my y

Step-by-step explain;

Answer:

Bro it's right they are wrong unless you are not giving all the information unless what they wanted you to do is do 12 + 10 as the answer

Step-by-step explanation:

Answer:

6x^3 + 24x^2

Step-by-step explanation:

We need to find (f * g)(x)

If we distribute the "x" here, we should get f(x) * g(x), which is what we have to solve for

f(x) * g(x) = 6x(x^2 + 4x)

= 6x^3 + 6x(4x)

= 6x^3 + 24x^2

This is the simplest expression you can get

Answer:

(10, -3)

Step-by-step explanation:

When translating left or right, the x intercept will be altered. When translating up or down, the y intercept will be altered.

Answer:

3

6 divided by 2 is 3

Answer:

undefined, not enough information

Answer:

40-8n

Step-by-step explanation:

We distribute the -4 over to the values in the parenthesis to get 40-8n.

Answer:

18=2x+7, The internship pays $5.50 an hour.

Step-by-step explanation:

The box on the far left is the amount the student is paid at their job, which is $18 an hour in this case. Solve 18-7 to get 11, then divide 11 by 2 to get the pay for the internship. To check your work, plug 5.50 into the equation.

18=2(5.50)+7

18=11+7

18=18

Answer:

The equation would be:

18 = 2x + 7

The internship pays $5.5 an hour

Step-by-step explanation:

18 - 7 = 2x

(Since we moved the 7 to the other side, in order to combine like terms)

11 = 2x

(Divide both sides by 2)

5.5 = x

(x = 5.5)

x would be the pay the internship pays an hour.

(Sorry if this is wrong, notify me if it is, and I'll delete this post Xc)

Answer:

Yes, 2.01< 2.20

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

H = -3

J = -1

J = -1

M=2

(-3+-1)+(-1+2)=-3

Answer:

0.5

Step-by-step explanation:

4a+5=7

4a=7-5

4a=2

a=2/4

Answer:

a = 1/2

Step-by-step explanation:

4a + 5 = 7

4a = 2

a = 1/2

Answer:

yesss they are

Answer:yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

y+13+7y-7=2(4y+3)

8y+6=8y+6

which is true for all real values.

so number of solutions=infinite (all real values)

Answer:

7 1/3 gallons

Step-by-step explanation:

If the bucket is half full and still has half to go, you double the current contents of the bucket. 3 4/6 times 2 is equal to 7 2/6 gallons which simplifies to 7 1/3 gallons.

I don't fully understand your question though, if the question is asking how much MORE water is needed to fill the bucket, it's 3 2/3 gallons. If it's asking how much water in TOTAL it would take to fill the bucket completely, it's 7 1/3 gallons.

Answer:

The distance would be 6.7 or 3✓5

Step-by-step explanation:

Im sure there's a faster way to find this, but I'm in 8th grade sooo yeah.

First things first we can use the equation

d=✓(X2-X1)*2+(Y2-Y1)*2

X2= 8

X1= 5

Y2= 13

Y1= 7

From here, you plug in the values and do as followed. You subtract the values to get the answer. For example 8-5 would get us (3)*2.

From here you square the 3 to get 9. You also do the same to the right side of the equation.

Now you have d=✓(3)*2 + (6)*2

From here you square it and you get d=✓9+36

Now we have: d✓45

Now we square the 45 to get 6.7082..., but we round the answer to get 6.7!

Hope this helps! If you have any questions please feel free to ask, as I understand the struggle of math! :)

Answer:

the distance would be 6.7

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

hope this helpshchxjxjx

Answer:x=-9

Step-by-step explanation: