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3 years ago

Find the length of the missing side. 34 ft ? 30 ft

Mathematics

1 answer:

mart [117]3 years ago

5 0

Step-by-step explanation:

let p be perpendicular, ( ^ refers to exponent )

by pythagorus theorem,

hypotenuse^2 = perpendicular^2 + base^2

34^2 = p^2 + 30^2
1156 = p^2 + 900
p^2 = 1156 - 900
p^2 = 256
p = root 256
p = 16

so we get p = perpendicular = 16 feets

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3 years ago

Write the equation in slope-intercept form of the line that passes through

mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

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2 years ago

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3 years ago

Find the length of the missing side. 34 ft ? 30 ft​

Find the length of the missing side. 34 ft ? 30 ft