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4 years ago

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line?

Mathematics

1 answer:

Advocard [28]4 years ago

7 0

ANSWER

A. -4

EXPLANATION

The slope of parallel lines are equal.

Since the green line is parallel to the red line,then they have the same slope .

Since the green line has a slope of -4, the red line also has a slope of -4.

The correct choice is A

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Find the value of b?

oee [108]

Answer:

Step-by-step explanation:

Opposite angles in parallelogram are equal, so:

3b° = 111° divide both sides by 3

b° = 37°

b = 37

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3 years ago

Who can help me d e f thanks

12345 [234]

$y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}$

Product rule:

$y' = \bigg((2ax^2+c)^2\bigg)' (bx^2-cx)^{-1} + (2ax^2+c)^2 \bigg((bx^2-cx)^{-1}\bigg)'$

Chain and power rules:

$y' = 2(2ax^2+c)\bigg(2ax^2+c\bigg)' (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} \bigg(bx^2-cx\bigg)'$

Power rule:

$y' = 2(2ax^2+c)(4ax) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2-cx)^{-2} (2bx - c)$

Now simplify.

$y' = \dfrac{8ax (2ax^2+c)}{bx^2 - cx} - \dfrac{(2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y' = \dfrac{8ax (2ax^2+c) (bx^2 - cx) - (2ax^2+c)^2 (2bx-c)}{(bx^2-cx)^2}$

$y = \dfrac{3bx + ac}{\sqrt{ax}}$

Quotient rule:

$y' = \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{\left(\sqrt{ax}\right)^2}$

$y'= \dfrac{\bigg(3bx+ac\bigg)' \sqrt{ax} - (3bx+ac) \bigg(\sqrt{ax}\bigg)'}{ax}$

Power rule:

$y' = \dfrac{3b \sqrt{ax} - (3bx+ac) \left(-\frac12 \sqrt a \, x^{-1/2}\right)}{ax}$

Now simplify.

$y' = \dfrac{3b \sqrt a \, x^{1/2} + \frac{\sqrt a}2 (3bx+ac) x^{-1/2}}{ax}$

$y' = \dfrac{6bx + 3bx+ac}{2\sqrt a\, x^{3/2}}$

$y' = \dfrac{9bx+ac}{2\sqrt a\, x^{3/2}}$

$y = \sin^2(ax+b)$

Chain rule:

$y' = 2 \sin(ax+b) \bigg(\sin(ax+b)\bigg)'$

$y' = 2 \sin(ax+b) \cos(ax+b) \bigg(ax+b\bigg)'$

$y' = 2a \sin(ax+b) \cos(ax+b)$

We can further simplify this to

$y' = a \sin(2(ax+b))$

using the double angle identity for sine.

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2 years ago

1,478 people went to the movies on Saturday, and 956 people went to the movies on

wlad13 [49]

The percent decrease in people going to the movies from Saturday to Sunday is 35.3%

Step-by-step explanation:

The percent decrease is given by the formula:

$Percent\ decrease = \frac{Decrease}{Old\ Value}*100\\where \\Decrease = Old\ value -New\ value\\$

Given

New Value = 956

Old Value = 1478

Decrease = 1478-956

= 522

$Percent\ decrease= \frac{522}{1478}*100\\=0.353*100\\=35.3\%$

The percent decrease in people going to the movies from Saturday to Sunday is 35.3%

Keywords: Percentage

Learn more about percentage at:

#LearnwithBrainly

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3 years ago

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patriot [66]

Sample space blue die = {1,2,3,4,5,6} =6 total outcomes
favorable outcomes = {1,2,3,4,5} = favorable outcomes
P(blue<6} = 5/6

Sample space green die = {1,2,3,4,5,6}=6 total outcomes
favorable outcomes = {1,2,3,4,5} = favorable outcomes
P(green<5) = 5/6

P(blue AND green both <6) = 5/6 x 5/6 = 25/36 or 0.695

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4 years ago

A scientist is studying red maple tree growth in a state park. She measured the trunk diameters of a sample of trees in the same

Natali5045456 [20]

Point b is the correct answer love!

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3 years ago