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Murrr4er [49]
3 years ago
11

A parking garage opens at 8 AM. The graph shows the total number of cars in the garage. How many cars were parked in the garage

overnight? A.30 B.20 C.40 D.60

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

D, 60.

Step-by-step explanation:

Well first of all, 30, 20, or 40 isn't even on the graph in the first place, and since the garage opens at 8, and it was 8 exactly and there were 60 cars parked, that means there was 60 parked over night. hope i helped!!

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This year Maya watched 60 movies. She thought that 33 of them were very good. Of the movies she watched, what percentage did she
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55%

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Eight times the sum of a number and 16 is at least -28 Use the variable w for the unknown number
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8 0
3 years ago
7. Kamal gives the following proof that y−1=8/9(x+10) is the equation of a line that is tangent to a circle given by
leonid [27]

Answer with Step-by-step explanation:

We are given that equation of circle

(x+1)^2+(y-9)^2=145=(\sqrt{145})^2

Compare with equation of circle

(x-h)^2+(y-k)^2=r^2

Where (h,k)=Center of circle

r=Radius of circle

We get circle of center=(-1,9)

Radius=12.04

The point (-10,1) is on the circle because it satisfied the circle equation .

Slope of radius=\frac{1-9}{-10+1}=\frac{8}{9}

By using slope formula

Slope:m=\frac{y_2-y_1}{x_2-x_1}

We know that radius is perpendicular to the tangent.

When two lines are perpendicular then their slope is opposite reciprocal to each other.

Slope of tangent=-\frac{1}{\frac{8}{9}}=-\frac{9}{8}

Now, the equation of tangent passing through the point(-10,1) with slope-9/8 is given by

y-1=-\frac{9}{8}(x+10)

By using point-slope form

y-y_1=m(x-x_1)

a.Kamal has made an error to find the slope of  tangent .

Slope of tangent=-\frac{9}{8}

But he used slope of tangent 8/9

b.The equation  of tangent line

y-1=-\frac{9}{8}(x+10)

7 0
3 years ago
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