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BigorU [14]
4 years ago
15

Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).

Mathematics
1 answer:
Soloha48 [4]4 years ago
3 0

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}

Substitute m = 5/8 and the point (4,4) into the point slope form.

y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}

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Sveta_85 [38]

y = 9x + 55 because the 9x is the amount you get paid an hour, and to get to the 199 you need to include to rate at which you get paid, and add that to how much you already have saved.

4 0
3 years ago
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Write the point-slope form of the equation of the line that passes through the points (-8, 2) and (1, -4). Include your work in
Tatiana [17]
Slope = (2+4)(-8 -1) = 6/-9 = - 2/3

<span>point-slope form of the equation
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y - 2 = -2/3(x + 8)

3 0
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James used base-ten to show that 40 is one-tenth of 400. Explain your reasoning
Elanso [62]
Cause 400 divided by 10 is 40

3 0
3 years ago
76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​
alekssr [168]

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

A=\frac{1}{2} Pa where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

<u>1) Find the perimeter</u>

P=5l where l is the side length

Plug in the side length 7.6 cm

P=5(7.6)\\P=38

Therefore, the perimeter of the pentagon is 38 cm.

<u>2) Find the area</u>

A=\frac{1}{2} Pa

Plug in the perimeter (38) and the apothem (5.2)

A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

5 0
3 years ago
9. YOU BE THE TEACHER Your friend
Crank

Answer:

Step-by-step explanation:

Yes, it's reasonable.

What you are doing is solving the question by rounding. You come up with an answer. Suppose you loose the decimal somewhere and you get 0.36? Is that reasonable? Do you just write the answer in the provided blank and move on. What now?

You get it wrong?!!

But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.

Who  knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.

8 0
3 years ago
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