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prisoha [69]
3 years ago
12

Can someone help me in this exercise, it is about functions. Thank you

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

a)

Since the radius of the balloon increases by 5 cm every second, the amount of time passed in seconds multiplied by 5 will give us the radius at any given point in time

So, f(t) = 5t

b)

Since the surface area of a sphere is 4\pi (r)^2

We already have the radius of the sphere at any given time from our first equation

SA(t) = 4\pi (5t)²

Kindly Mark Brainliest, Thanks!

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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}

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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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