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Ann [662]
3 years ago
13

Nicole is a high school basketball player. In a particular game, she made some three point shots and some two point shots. Nicol

e scored a total of 30 points and made 5 more three point shots than two point shots. Graphically solve a system of equations in order to determine the number of three point shots made, x, and the number of two point shots made, y
Mathematics
1 answer:
MissTica3 years ago
7 0

Answer:

the point of interception is (8,3)

Step-by-step explanation:

The x variable represents the number of three point shots made and the y variable represents the number of two point shots made. Since the lines intersect at the point (8,3) we can say:

Nicole made 8 three point shots and 3 two point shots.

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Norma-Jean [14]
1. find our slope: y2 - y1/ x2- x 1

-9 + 4= -5
2 - 2 = 0

m = 0

2. now we need to use our point-slope form to find our y intercept

point-slope form: y - y1 = m(x - x1)

y + 4 = 0(x - 2)

distribute:
y + 4 = 0x

3. get y by itself

y + 4 - 4 = y
0x - 4 = 0x - 4

4. write in slope-intercept form:

y = 0x - 4
OR
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8 0
3 years ago
A storage tank has A circumference Of 200 meters what is the area of the base of the tank
lorasvet [3.4K]

Circumference = 2 pi r

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6 0
3 years ago
It's a system of equations x=-4y x+6y=18
Misha Larkins [42]
Subsitute -4y for x

-4y+6y=18
2y=18
divide both sides by 2
y=9
sub back

x=-4y
x=-4(9)
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(x,y)
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3 0
3 years ago
If the ratio of a circle's sector to its total area is 1/3, what is the measure of
nalin [4]

Answer:

option A:  120°

Step-by-step explanation:

Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta

4 0
3 years ago
Carla purchased a hat for $12, a purse for $26, and a dress for $125. The sales tax rate was 5.6 percent. What was the total amo
muminat

Answer:

5/100 = 0.056 sales tax

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163*0.056 = 9.128 tax based on how much she bought

$163 + 9.128 = $172.128 total amount she paid (b)

8 0
2 years ago
Read 2 more answers
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