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3 years ago

a guy is washing 32 feet off the ground. he positions the ladder at an angle of 67° with the ground. how tall is the ladder

Mathematics

1 answer:

irina [24]3 years ago

6 0

Answer:

34.76 feet

Step-by-step explanation:

trig

SOH CAH TOA

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Write an equation of a line parallel to y = -2x + 3 that passes through (-2,-1)

ElenaW [278]

$\boxed{y=-2x-5}$

<h2>Explanation:</h2>

The slope-intercept form of the equation of a line:

$y=mx+b \\ \\ \\ Where: \\ \\ m:Slope \\ \\ b:y-intercept$

The given line has the following characteristics:

$y=-2x+3 \\ \\ \\ So: \\ \\ m=-3 \\ \\ b=3$

So the line we are looking for needs to be:

$y=-2x+b \\ \\ \\ It \ passes \ through \ (-2,-1): \\ \\ -1=-2(-2)+b \\ \\ b=-1-4 \\ \\ b=-5$

So, the equation of the line would be:

$\boxed{y=-2x+3}$

<h2>Learn more:</h2>

Many-to-one function: brainly.com/question/12881881

#LearnWithBrainly

3 0

4 years ago

Work out the area of the trapezium ABDE.

kvv77 [185]

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

6 0

3 years ago

Which is the value of this expression when a=-2 and b=-3

Lerok [7]

Answer:

$\frac{729}{64}$

Step-by-step explanation:

The given expression is

$(\frac{3a^{-3}b^{2} }{2a^{-1} b^{0} } )^{2}$

Where $a=-2$ and $b=-3$ .

When we say "evaluate the expression" refers to replacing the given values in the expression. Then, we solve each power in the numerator and denominator. After that, we solve each product in the fraction. At the end, we apply the square power. As follows

$(\frac{3a^{-3}b^{2} }{2a^{-1} b^{0} } )^{2}=(\frac{3(-2)^{-3}(-3)^{2} }{2(-2)^{-1} (-3)^{0} } )^{2}=(\frac{3(\frac{1}{-8})(9)}{2(\frac{1}{-2} (1))} )^{2} =(\frac{-\frac{27}{8} }{-1} )^{2} =\frac{27^{2} }{8^{2} } =\frac{729}{64}$