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creativ13 [48]
2 years ago
7

Identify the constant of proportionality in the graph.

Mathematics
2 answers:
UNO [17]2 years ago
6 0
The answer should be A) 60
mart [117]2 years ago
4 0

Answer:

A) 60

Step-by-step explanation:

Find two points that intersect with the grid.

(0,0) and (1, 60)

Subtract the second y value from the first y value. Do the same to the X-values.

Write this as a fraction with the y values over the x-values.

60-0= 60

-------------

1 - 0 = 1

60/1 = 60

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Tanya [424]

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Helen drives 195 miles in 3 hours.
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A. Helen is driving 65 mph
b. Matthew drove 310 miles
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Save me the headache
maxonik [38]

(9\sin2x+9\cos2x)^2=81

Taking the square root of both sides gives two possible cases,

9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1

or

9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1

Recall that

\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta

If \alpha=2x and \beta=\dfrac\pi4, we have

\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}

so in the equations above, we can write

\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1

Then in the first case,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi

(where n is any integer)

\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi

\implies x=n\pi\text{ or }\dfrac\pi4+n\pi

and in the second,

\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}

\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi

\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi

\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi

Then the solutions that fall in the interval [0,2\pi) are

x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4

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3 years ago
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Answer quickly give brainiest answer
storchak [24]

Answer:

A. 6

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A) 8x3/4

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You draw a line diagonally from the top right corner to the bottom left corner and the area would be 3 and 3 because 6 in half is 3

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AB=√202−162=√400−256=√144=12
ruslelena [56]
.6 is the answer YAYA
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