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3 years ago

ASAP! equation of the line in slope-intercept form

Mathematics

1 answer:

Crazy boy [7]3 years ago

5 0

Answer:

y = -1/3x + 6 $\frac{2}{3}$

Step-by-step explanation:

First, change the original equation to slope intercept form:

y + 4 = 3x

y = 3x - 4

Now, find the slope of the perpendicular line. It will be the opposite reciprocal:

The opposite reciprocal of 3 is -1/3.

Next, plug this into the slope intercept equation along with the given point, so we can solve for b:

y = mx + b

6 = -1/3(2) + b

6 = -2/3 + b

6.67 = b

So, the equation will be y = -1/3x + 6 $\frac{2}{3}$

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Solve the triangle.

saw5 [17]

Answer:

Step-by-step explanation:

because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A

so the first choice is out.

use the law of cosines to find b

$b^{2}$ = $a^{2} +c^{2} -2*a*c*cos(B)$

$b^{2}$ =1681+400-1326.787871

$b^{2}$ = 754.21219

b= $\sqrt{754.21219}$

b= 27.46292

so the last choice looks good

5 0

2 years ago

Which value of x makes the equation 2/3x-3=11 true?

harkovskaia [24]

Answer:

x = 21

Step-by-step explanation:

To see for what value of x is the equation true, we have to solve x.

$\displaystyle \frac{2}{3} x - 3 = 11\\\\Adding \ 3 \ to \ both \ sides\\\\\frac{2x}{3} = 11 + 3\\\\\frac{2x}{3} = 14\\\\Multiply \ 3 \ to \ both \ sides\\\\2x = 14 \times 3\\\\2x = 42 \\\\Divide\ both\ sides\ by\ 2\\\\x = 42/2\\\\x = 21\\\\For \ x = 21\ the \ given \ equation \ is \ true.\\\\\rule[225]{225}{2}$

Hope this helped!

<h3>~AH1807</h3><h3>Peace!</h3>

7 0

2 years ago

Please help!!!! My assignment is almost due!!!

NeX [460]

Answer:

Step-by-step explanation:

the triangles are similar so will be the same proprotion,

I have attached a picture showing how I solved this. the second traingle is 3 times as large (15 by 12) compared to the first triangle which is 4 by 5.