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3 years ago

7

Please help Solve for n. 5/15 = n/21 A. N = 35 B. N = 7 C. N = 5 D. N = 90

1 answer:

hoa [83]3 years ago

4 0

Answer:

You litterally say N = 90

Step-by-step explanation:

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Step-by-step explanation:

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1 + 5sin^2x= 7sin^2x solve trig equation. Can you show me how to solve this trig equation?

pantera1 [17]

Answer: $x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

Step by step:

$1 + 5\sin^2x= 7\sin^2x\\\sin^2 x\rightarrow z\\1 + 5z = 7z\\2z = 1\\z = \frac{1}{2}\implies \sin^2 x = \frac{1}{2}\\|\sin x| = \frac{1}{\sqrt{2}}\\\sin x = \pm\frac{1}{\sqrt{2}}=\pm\frac{\sqrt{2}}{2}\\\implies x = \frac{\pi}{4}\pm k\frac{\pi}{2}\,\,\,\,\,\,k=\{0,1,2,...\}$

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Line b passes through the Point(-3, -4) and has a slope of -1/2. What is the equation of Line b in standard form?

Anna11 [10]

Answer:

$x+2y=-11$

Step-by-step explanation:

Slope intercept form of a line is given by:

$y=mx+b$

Where

m is the slope and b is the y-intercept

Given slope is $-\frac{1}{2}$

We can write:

$y=-\frac{1}{2}x+b$

Now to find b, we replace x with -3 and y with -4, given, so we have:

$y=-\frac{1}{2}x+b\\-4=-\frac{1}{2}(-3)+b\\-4=\frac{3}{2}+b\\b=-5.5$

So, the equation is:

$y=-\frac{1}{2}x-\frac{11}{2}$

Now,

The standard form is given by:

$Ax+By=C$

So, we take x and y to left side and the constant to right side. Rearranging, we get:

$y=-\frac{1}{2}x-\frac{11}{2}\\2y=-x-11\\x+2y=-11$

The first answer choice is right.

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3 years ago