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1 year ago

4. What is 54 + (-78) - (-39)

Mathematics

1 answer:

inysia [295]1 year ago

5 0

Answer:

Step-by-step explanation:

follow the Pemdas order of operations

add and subtract (left to right)

apply the rule +(-a)=-a

+(-78)=-78

=54-78-(-39)

54-78=-24

=-24-(-39)

apply the rule -(-a)=+a

-(-39) =+39

=-24 +39

-24+39=15

=15

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write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5

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Answer:

$y=-\frac{5}{3} x-\frac{42}{5}$

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

$y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}$

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive $\frac{3}{5}$ , the opposite is $-\frac{3}{5}$ .

To find the 'reciprocal,' flip your fraction. This will make your slope $-\frac{5}{3}$ .

Your final equation is:

$y=-\frac{5}{3} x-\frac{42}{5}$

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