Answer: the correct answer is 20
Step-by-step explanation:
The formula for determining the distance between two points on a straight line is expressed as
Distance = √(x2 - x1)² + (y2 - y1)²
Where
x2 represents final value of x on the horizontal axis
x1 represents initial value of x on the horizontal axis.
y2 represents final value of y on the vertical axis.
y1 represents initial value of y on the vertical axis.
From the graph given,
x2 = - 7
x1 = 5
y2 = - 7
y1 = 9
Therefore,
Distance = √(- 7 - 5)² + (- 7 - 9)²
Distance = √(- 12²) + (- 16)²
= √(144 + 256) = √400
Distance = 20
Answer:
The System of linear equations are:

Step-by-step explanation:
Here, a represents the number of 2-points and b represent the number of 3-point basket.
As per the statement:
The basketball team scored 82 points from 2- points and 3-points baskets.
⇒
It is also given that: They make 38 baskets altogether.
⇒
therefore, the system of linear equations are:

X - Linda's speed
(x+8 )- Colleen's speed
8x - Linda's distance for 8 h
8(x+8) = 8x+64 - Colleen's distance for 8 h
8x + 8x + 64 = 176 - distance between Colleen and Linda after 8 h
8x + 8x + 64 = 176
16x +64 = 176
16x = 176 - 64
16x = 112
x= 7 mph Linda's speed
x+8 = 7+8 = 15 mph Colleen's speed
114 = 19y
This is true because they are vertical angles. Now, let's divide both sides by 19
6 = y