So anytime we have a slope and want to find the slope of a perpendicular line, we just have to remember a perpendicular line's slope is the negative reciprocal (reciprocal means flip the fraction). So if we had a slope of 3/4, the slope perpendicular to it would be - 4/3.

First we need to find our slope, to do this we take the change in y over the change in x like so:

(15-12)/(4-7) = - 3/4

The slope perpendicular to this is 4/3.

3 0

3 years ago

Solve for x. 3x + 5 = 23

Lunna [17]

[|] Answer [|]

$\boxed{X \ = \ 6}$

[|] Explanation [|]

3x + 5 = 23

_________

Subtract 5 From Both Sides:

3x + 5 - 5 = 23 - 5

Simplify:

3x = 18

Divide Both Sides By 3:

$\frac{3x}{3} \ = \ \frac{18}{3}$

Simplify:

X = 6

_________

- Check Your Work -

Substitute 6 For X:

3 * 6 + 5 = 23

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

3 * 6 = 18

18 + 5 = 23

$\boxed{[|] \ Eclipsed \ [|]}$

8 0

3 years ago

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