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hoa [83]
2 years ago
15

Find the area of the circle r=6 ft 113.04 ft2, 9.42 ft2, 28.26ft2, 37.68 ft2, 18.84 ft2

Mathematics
1 answer:
nadya68 [22]2 years ago
6 0

Answer:

113.04ft^2

Step-by-step explanation:

Like before A=\pi  r^2\\=\pi 6^2\\=113.04ft^2

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The two lines y= 6x+15 and y= mx+4 intersect at x= -2. What is the y-coordinate of their intersection point
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Answer:

The y-coordinate of their intersection point is 3

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Step-by-step explanation:

Given two lines are y=6x+15 and y=mx+4

Given that the two lines intersect at x=-2

To find the y coordinate of their intersection point :

Equating the two lines

6x+15=mx+4

6x+15-mx-4=0

6x-mx+11=0

(6-m)x+11=0

At x=-2  (6-m)x+11=0

(6-m)(-2)+11=0

(6-m)(-2)=-11

6-m=\frac{11}{2}

-m=\frac{11}{2}-6

-m=\frac{11-12}{2}

-m=\frac{-1}{2}

m=\frac{1}{2}

Substitute the value m=\frac{1}{2} in y=mx+4 we get

y=\frac{1}{2}x+4

At x=-2 y=\frac{1}{2}(-2)+4

=-1+4

=3

Therefore y=3

Therefore the y-coordinate of their intersection point is 3

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