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OLga [1]
2 years ago
8

(3,20) with a slope of 4

Mathematics
1 answer:
Temka [501]2 years ago
6 0

Answer:

y = 4x + 8

Step-by-step explanation:

The slope intercept form for an equation is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

m, the slope, is 4

y = 4x + b

We need a value of b that will force the line through point (3,20).  Enter that point in the above equation and solve for b:

y = 4x + b

20 = 4*(3) + b for (3,20)

20 = 12 + b

b = 8

The equation becomes <u>y = 4x + 8</u>

See attachment.

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Find the exact value of cos(sin^-1(-5/13))
son4ous [18]

bearing in mind that the hypotenuse is never negative, since it's just a distance unit, so if an angle has a sine ratio of -(5/13) the negative must be the numerator, namely -5/13.

\bf cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right] \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{then we can say that}~\hfill }{sin^{-1}\left( -\cfrac{5}{13} \right)\implies \theta }\qquad \qquad \stackrel{\textit{therefore then}~\hfill }{sin(\theta )=\cfrac{\stackrel{opposite}{-5}}{\stackrel{hypotenuse}{13}}}\impliedby \textit{let's find the \underline{adjacent}}

\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \pm\sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{13^2-(-5)^2}=a\implies \pm\sqrt{144}=a\implies \pm 12=a \\\\[-0.35em] ~\dotfill\\\\ cos\left[ sin^{-1}\left( -\cfrac{5}{13} \right) \right]\implies cos(\theta )=\cfrac{\stackrel{adjacent}{\pm 12}}{13}

le's bear in mind that the sine is negative on both the III and IV Quadrants, so both angles are feasible for this sine and therefore, for the III Quadrant we'd have a negative cosine, and for the IV Quadrant we'd have a positive cosine.

8 0
2 years ago
(Sorry forgot to put picture)
Sliva [168]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
the perimeter of a square clock is 16 wholes and 6/9 inches.The perimeter of a rectangular clock is 16 wholes and 16/18 inches.W
sergejj [24]
6/9 and 16/18 is what we will mainly look at since the whole numbers are the same. the common denominator is 18. so you would multiply 6/9 by 2 (both the numerator and denominator multiplied by 2 ) therefore you will get 12/18. Which is bigger 12/18 or 16/18? 16/18 is bigger, therefore you would say sixteen and 6/9 is less than sixteen and 16/18. your answer should be this below. :)
16,6/9 < 16, 16/18.
4 0
3 years ago
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vovangra [49]

What is the minimum value of of the function below y = 2x2 – 8x + 11 O y=-3 O y = 2 O y = 3 O y = 11

4 0
2 years ago
1/-3/x^6 simplest radical form
Contact [7]

Answer:

The answer would be -x/3x^6

Step-by-step explanation:

The first step that you should take is apply the fraction rule.

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Then apply the fraction rule again.

That would make it. 1/3/-x^6

Then apply the last fraction rule.

That would make it -1/3x^6

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3 years ago
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