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Stella [2.4K]
3 years ago
7

Write an equation for the line containing (7,7) and (2,-3).

Mathematics
1 answer:
drek231 [11]3 years ago
4 0

Answer:

y = 2x - 7

Step-by-step explanation:

To find the line equation we assume that its form is y = m*x + b. Where m is the slope and b is the independent variable that intercepts the Y axis.

If we have two points as P1=(x1,y1) and P2=(x2,y2) we can use the slope formula as:

m = (y2-y1)/(x2-x1)

The points given are P1=(7,7) and P2=(2,-3), then the using the slope formula we obtain:

m = (-3-7)/(2-7)

m = (-10)/(-5)

m = 2

By now the equation is y = 2x + b. To find the value of b we have to replace in the equation any point, in this case i am using P2:

-3 = 2*(2) + b

-3 = 4 + b

-3 -4 = b

-7 = b

Therefore the equation of the line is:

y = 2x - 7

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saul85 [17]

Answer:

A student makes money by watching the neighbors' dog. The situation is modeled in the graph below. Money Made 130 120 110 100 90 80 Fee (dollars) 70 60 50 40 30 20 10 0 1 2 3 7 8 9 4 5 6 Time (days) 10 Select the statement that describes the relationship between the amount of money the student makes and time in days. The student charges $11 plus an additional $20 per day, The student charges $20 plus an additional $11 per day. The student charges $20 plus an additional $10 per day.​

Step-by-step explanation:

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3 years ago
What is the volume of a hemisphere with a radius of 8.8 cm, rounded to the nearest
gizmo_the_mogwai [7]

Answer:

1427.3

Step-by-step explanation

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3 years ago
If a line perpendicular to 2y=x+5 that passes through (2,1) using the slope- intercept form
arlik [135]
Slope of  2y = x + 5:-
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y- 1 = -2(x - 2)
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4 0
3 years ago
Suppose y varies inversely with x and that y=2 when x=8 What is an equation for this inverse variation?
bearhunter [10]

 Suppose y varies inversely with x and that y=2 when x=8 What is an equation for this inverse variation?

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3 0
3 years ago
EX 6.1 How many iterations will the following for loops execute? for (int i = 0; i < 20; i+ +) { } for (int i = 1; i <= 20
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

The loop "for (int i = 0; i < 20; i+ +)" starts at i=0 and increases the counter i by 1 at the end of each iteration. The counter must be less than 20, so the values of i in the loop are 0,1,2,3,...,19. These are 20 values, and thus the code iterated 20 times.

The loop "for (int i = 0; i < 20; i+ +)" starts at i=1 and increases the counter i by 1 at the end of each iteration. The counter can't exceed 20, so the values of i in the loop are 1,2,3,4,...,20. These are 20 values, and thus the code iterated 20 times.

Similarly, in "for (int i = 5; i < 20; i+ +)" i takes the 15 values are 5,6,7,...,19. Hence, the code iterated 15 times.

The loop "for (int i = 20; i > 0; i- -)" starts at i=20 and decreases the counter i by 1 at the end of each iteration, so the values of i in the loop are 20,19,18,...,1. These are 20 values, then we have 20 iterations.

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6 0
3 years ago
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