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Kitty [74]
2 years ago
13

Find the rate of change from the given table.

Mathematics
1 answer:
Ymorist [56]2 years ago
4 0
The rate of change would be D. 4
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Blake is playing a racing game on his computer. The game tracks the locations of objects using and y coordinates (see graph belo
Anvisha [2.4K]
<h3>Answer: 2.2 units</h3>

============================================

Explanation:

I'll define these point labels

  • B = Blake's starting position
  • F = finish line
  • C = the third unmarked point of the triangle

The locations of the points are

  • B = (-8,1)
  • C = (-6,-3)
  • F = (4,-2)

Use the distance formula to find the distance from B to C

B = (x_1,y_1) = (-8,1) \text{ and } C = (x_2,y_2) = (-6,-3)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-8-(-6))^2 + (1-(-3))^2}\\\\d = \sqrt{(-8+6)^2 + (1+3)^2}\\\\d = \sqrt{(-2)^2 + (4)^2}\\\\d = \sqrt{4 + 16}\\\\d = \sqrt{20} \ \text{ ... exact distance}\\\\d \approx 4.47214 \ \ \text{... approximate distance}\\\\

Segment BC is roughly 4.47214 units long.

Following similar steps, you should find that segment CF is approximately 10.04988 units long.

If Blake doesn't take the shortcut, then he travels approximately BC+CF = 4.47214+10.04988 = 14.52202 units. This is the path from B to C to F in that order.

---------

Use the distance formula again to find the distance from B to F. This distance is about 12.36932 units. He travels this amount if he takes the shortcut.

Subtract this and the previous result we got

14.52202 - 12.36932 = 2.1527

That rounds to 2.2

This is the amount of distance he doesn't have to travel when he takes the shortcut.

In other words, the track is roughly 2.2 units shorter when taking the shortcut.

Side note: Replace "units" with whatever units you're working with (eg: feet or meters).

7 0
2 years ago
Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?
Alexxandr [17]

Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

8 0
2 years ago
65%. persent of 120 students ate pizza for lunch how many student's ate pizza​
liq [111]
0.65 is equivalent to 65%.

0.65 of 120 is the same as
0.65 x 120.

0.65 x 120 = 78.

So, 78 students ate pizza.
3 0
2 years ago
Read 2 more answers
What is the slope of the line between (-4, 4) and (-1, -2)? (1 point)<br> 0 1<br> C 2<br> 0-2<br> -1
zmey [24]

Answer:

2

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - 4 / -1 - (-4)

-2 - 4 / -1 + 4

-6 / 3

2

5 0
3 years ago
What is the solution to the system of equations?
White raven [17]
Equation A find “m” and “b”:
“B” is the y-intercept when x = 0. They give this in the table as “-2” so b = -2
Find slope (m) = (-8)-(-2)/(-2)-0 = 3
Equation A is y = 3x - 2 (y = mx + b)
Equation B find “m” and “b”:
Find m = (-9)-(-5)/(-3)-(-1) = 2
To find be, plug in m, x, and y from ANY coordinates in table b into y = mx + b:
-9 = 2(-3) + b
-9 = -6 + b
b = -3
Equation b is y = 2x -3
Use substitution and substitute all of equation “b” for “y” in equation a:
2x - 3 = 3x - 2
Algebra: x = -1
Plug back into equation a:
y = 3(-1) -2
y = -5
x = -1
(-1, -5) final answer (B)
3 0
2 years ago
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