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3 years ago

Simplify 2 x2 - y for x = 3 and y = -2. A. 20 B. 14 C. 16 D. 10

Mathematics

1 answer:

poizon [28]3 years ago

6 0

2x^2 - y
2(3)^2 - (-2)
2(9) + 2
18 + 2
20
Assuming 2x2 is supposed to mean 2x^2, the correct answer is 20.

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Write an equation of a line that is perpendicular to the line y=2/3x and passes through origin

sesenic [268]

keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

$\bf y = \cfrac{2}{3}x\implies y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{2}{3}}x+0\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill$

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}$

so we're really looking for the equation of a line whose slope is -3/2 and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{3}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{-\cfrac{3}{2}}(x-\stackrel{x_1}{0})\implies y=-\cfrac{3}{2}x$

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3 years ago

Distributive property -12(3a+2b-1)

leva [86]

Multiply -12 to each of the terms (make sure to carry the negative!)

-36a - 24b + 12 will be your final answer :)

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3 years ago

What fraction plus another fraction = -7/36

N76 [4]

-14/36 + 7/36= -7/36

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3 years ago

The length of a rectangle has a measure of x and the width of a rectangle has a measure of (x-2). Find x if the area is 35.

Oliga [24]

Answer:

length = 7

pls mark me the brainliest

Step-by-step explanation:

A = Lw

35 = x (x -2)

35 = x2 - 2x

x2 -2x -35 = 0

(x-7)(x+5) = 0

x-7=0

x=7 (we won't use the other factor since it would give us a negative length

so length = 7

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What is the probability that in a class of 20 students, 2 of them will have the same birthday?

earnstyle [38]

There would be a 10% chance that they would have the same birthday

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