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3 years ago

Y= -2/5x-10 What is the slope of a line perpendicular to y = What is the slope of line JK?

Mathematics

2 answers:

REY [17]3 years ago

7 0

Answer:

perp. just switch from -2/5 to positive 5/2

Step-by-step explanation:

irinina [24]3 years ago

3 0

Answer:

m2 =5/2

Step-by-step explanation:

m1=-1/m2

m2=-1/m1

y=-2/5x-10

m1=-2/5

m2= -1/-2/5

m2=5/2

y=5/2x-10 ⊥ y=-2/5x-10

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Refer to the figure below to complete the following item.

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3 years ago

Ken’s predicted temperature for April is 7ºC. His prediction for May is 2ºC higher than April. He used the number line to solve

Gekata [30.6K]

Answer:

He should have moved to the right.

Step-by-step explanation:

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Calculate the total area of the shaded region.

LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

$\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}$

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

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2 years ago

Last month, JT made $684 working for 24 hours . This month, he will get 18% increase in the amount he earns per hour. What will

TEA [102]

Answer:

$33.63/hour

Step-by-step explanation:

$684 / 24 hours = $28.50/hour

$28.50 * 0.18 = $5.13

$28.50 + $5.13 = $33.63 / hour after an 18% raise

5 0

3 years ago