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3 years ago

The slope of the line below is -4. Use the coordinates of the labeled point to

Mathematics

1 answer:

Romashka [77]3 years ago

5 0

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

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

m - slope

(x₁, y₁) - point on a line

We have the slope m = -4, and the point (4, -9).

Substitute:

$y-(-9)=-4(x-4)\\\\y+9=-4(x-4)$

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Answer:

Step-by-step explanation:

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Find the missing side lengths leave your answer as a racials simplest form

Aleksandr-060686 [28]

Answer:

m= $7\sqrt3$

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Step-by-step explanation:

Hi there!

We are given a right triangle (notice the 90°) angle, the measure of one of the acute angles as 60°, and the measure of the hypotenuse (the side OPPOSITE from the 90 degree angle) as 14

We need to find the lengths of m and n

Firstly, let's find the measure of the other acute angle

The acute angles in a right triangle are complementary, meaning they add up to 90 degrees

Let's make the measure of the unknown acute angle x

So x+60°=90°

Subtract 60 from both sides

x=30°

So the measure of the other acute angle is 30 degrees

This makes the right triangle a special kind of right triangle, a 30°-60°-90° triangle

In a 30°-60°-90° triangle, if the length of the hypotenuse is a, then the length of the leg (the side that makes up the right angle) opposite from the 30 degree angle is $\frac{a}{2}$ , and the leg opposite from the 60 degree angle is $\frac{a\sqrt3}{2}$