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ddd [48]
3 years ago
7

Please help me!!!

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0
Well, the general form for point-slope form is y-ysub1= m(x-xsub1). In the general form,  ysub1 stands for the y-coordinate and xsub1 stands for the x-coordinate, and m stands for the slope. When writing in point-slope form, we need the slop and one ordered pair. 

The equation has already given us two ordered pairs but it doesn't give us the slope. We just need to find the slope between these two points, which is 3/1, or just 3. Then we pick one of the ordered pair they gave us and plug in the general form. 

I'll go with the first ordered pair, (2,1). The y and the x in the equation, don't plug them in, leave them as it is, we only need to plug in the slope and the two coordinates. So we get y-1=3(x-2). 

I'll only do the first ordered pain for you, and you should be able to do the second one.
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3 years ago
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Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more t
neonofarm [45]

Let

r------> the radius of the circular tabletop

we know that

r\geq 6\ in

r\leq23\ in

so

6\ in \leq r \leq 23\ in

The area of a circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

<u>Part a)</u> What is the smallest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the smallest possible area of the tabletop is for r=6\ in

Substitute the value  of r in the formula

A=\pi 6^{2}

A=113.09\ in^{2}

Round to the nearest whole square inch

so

A=113\ in^{2}

therefore

<u>the answer part a) is </u>

the smallest possible area of the tabletop is 113\ in^{2}

<u>Part b)</u> What is the largest possible area of the tabletop that will fit on Timothy’s table base?

we know that

the largest possible area of the tabletop is for r=23\ in

Substitute the value  of r in the formula

A=\pi 23^{2}

A=1,661.90\ in^{2}

Round to the nearest whole square inch

so

A=1,662\ in^{2}

therefore

<u>the answer part b) is </u>

the largest possible area of the tabletop is 1,662\ in^{2}

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4 years ago
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