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3 years ago

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The top of a round table is 4 feet in diameter. The top splits to allow two extra boards to be inserted. The expansion boards ar

e 4 feet by 1 1/2 feet. What is the area of the expanded table?

1 answer:

Nutka1998 [239]3 years ago

8 0

The answer will be 6

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Image of question provided

inna [77]

Answer:

To solve this problem, we can use a system of equations.

We know the quadratic expression has the form

$f(t)=at^{2}+bt$

Using points (1,12) and (4,0), we can form the following system to find a and b.

$12=a+b$

$0=16a+4b$

We need to divide the second equation by -4 and sum both equations

$12=a+b\\0=-4a-b$

$12=-3a\\a=\frac{12}{-3}\\ a=-4$

Then, we use this value to find the other variable

$12=a+b\\12=-4+b\\b=12+4\\b=16$

<h3>Therefore, the quadratic function that models the situation is</h3>

$f(t)=-4t^{2} +16t$ or $f(t)=-4t(t-4)$

According to this expression, after 2 seconds, the height is 16 feet.

$f(2)=-4(2)(2-4)=-8(-2)=16$

7 0

3 years ago

Can you help me and show work 2 <br> Thank you

enyata [817]

Answer:

sure it's 3 2/3

Step-by-step explanation:

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6 0

2 years ago

WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

ad-work [718]

Answer:

Well Where are the graphs

Step-by-step explanation:

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3 years ago

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Find the equation of this line

Mumz [18]

Answer:

y = 3/4x + 3

Step-by-step explanation:

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3 years ago

Two students are standing 20ft apart and spot Mrs. Rose. If they immediately run opposite directions with speeds of 300ft/min an

bonufazy [111]

They would be separating at 500 ft/min

time to go 3000 ft at that speed

= 3000/500 min

or

= 6 minutes

this may help you

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3 years ago