Madeline needs to find the slope of the line that passes through the points (9, 12) and (7, 4). She sets up the following work:

Mathematics

1 answer:

Over [174]2 years ago

4 0

Answer:

Step-by-step explanation:

She has everything correct but one thing. In order to have her answer correct, she must put the 9 in front of the 7 because the bigger number needs to go in front.

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Find an equation for the nth term of the arithmetic sequence.<br> 8,6,4,2,…

jarptica [38.1K]

Answer:

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Step-by-step explanation:

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2 years ago

Find the area of this figure.

umka2103 [35]

Rectangle

l = 7.2 - 1.7 = 5.5 ft b = 3.4 ft

Semicircle

r = 1.7 ft

Shaded region = area of rectangle + area of semicircle

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3 years ago

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ladessa [460]

First question:

Recall that $\cos^2x+\sin^2x=1$ and $\sqrt{x^2}=|x|$ for all $x$ . So

$\sqrt{1-\cos^2x}=\sqrt{\sin^2x}=|\sin x|$

$\sqrt{1-\sin^2x}=\sqrt{\cos^2x}=|\cos x|$

For $0$ , we expect both $\cos x>0$ and $\sin x>0$ (i.e. the sine and cosine of any angle that lies in the first quadrant must be positive). By definition of absolute value, $|x|=x$ if $x>0$ .