WILL POSSIBLY MARK BRAINLIEST IF GOOD ANSWER!!!

Please help me out. I don’t understand this problem.. An equation of a line through (-7,-10) which is perpendicular to the line

nordsb [41]

Answer:

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

Step-by-step explanation:

Things you need to know:

Perpendicular mean opposite slope.

Need to know point slope form of a linear equation $y - y_1 = x(x - x_1)$

Ok, with that out the way, lets get started!

From the equation y = -3x + 2 we can see the slope, which is -3. We are asked to find an equation that is perpendicular to that slope so that means we need an opposite slope. To turn this slope to an opposite slope flip it and change the sign

-3 = $\frac{-3}{1} = \frac{1}{3}$

Now that we have our opposite slope, which is $\frac{1}{3}$ , we can find the equation the problem is asking us to solve.

We do this by using the point (-7, -10) and our new slope, which is $\frac{1}{3}$ and by using $y - y_1 = x(x - x_1)$

Insert our point and slope into $y - y_1 = x(x - x_1)$ and solve for y

$y - y_1 = x(x - x_1)$

$y - (-10) = \frac{1}{3}(x - (-7))$

$y + 10) = \frac{1}{3}(x + 7))$

Work on the right side of the = sign

Distribute 1/3 to x and 7

$y + 10 = \frac{1}{3}(x + 7))$

$y + 10 = \frac{1}{3}x + \frac{7}{3}$

Bring the 10 over to the right side by adding a -10

$y + 10 -10= \frac{1}{3}x + \frac{7}{3} - 10$

$y = \frac{1}{3}x + \frac{7}{3} - 10$

Do the math for $\frac{7}{3} - 10 = -\frac{23}{3}$

$y = \frac{1}{3}x - \frac{23}{3}$

We are done.

The Equation:

$y = \frac{1}{3}x - \frac{23}{3}$

The y-intercept:

$-\frac{23}{3}$

7 0

3 years ago

Find the output (y) of the function y=6x+4 if the input (x) is 2

Dmitry_Shevchenko [17]

Answer:

f(2) = 16

or

y = 16

Step-by-step explanation:

Step 1: Write out function

y = 6x + 4

Step 2: Define variable for problem

x = 2

Step 3: Plug into function f(x)

f(2) = 6(2) + 4

f(2) = 12 + 4

f(2) = 16

Step 4: Change f(2) to y

y = 16

6 0

3 years ago

Freddie travels east 5 km and then goes north for 12 km and then west for 5 km what is his distance and displacement

mel-nik [20]

Answer:

12 km

Step-by-step explanation:

going east by 5 km and then west by 5 km brings him 12 km to the north of where he started

8 0

2 years ago

What is the denominator of the simplified expression? (startfraction 2 n over 6 n + 4 endfraction) (startfraction 3 n + 2 over 3

max2010maxim [7]

n/3n - 2.

The denominator of the given simplified expression is

The given expression is ( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 )

To find the denominator of the simplified expression :

First, simplify the given expression as below ;

( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 )

( 2n/2₍₃ₙ ₊ ₂₎ ( 3n + 2/ 3n - 2 ) ( here by taking the common term 2 outside the factor )

= (n/1) ( 1/ 3n - 2 ) ( here by simplifying the factors )

= n/3n - 2.

Therefore, ( 2n/6n + 4 ) ( 3n + 2/ 3n - 2 ) = n/3n - 2

Therefore the result of the given simplified expression is = n/3n - 2.

Learn more about the simplified expression at

brainly.com/question/723406

#SPJ4

4 0

2 years ago

What is the value of the algebraic expression x=1/2, y=1, and z=2? 6x(y2z)

alexandr1967 [171]

Is 12 I think so !! try it

5 0

4 years ago