Answer:
(x1, y1) = (1, 3)
(x2, y2) = (4, 12)
Step-by-step explanation:
y= x^2 - 4
y= 5x - 8
(substitute the value for y)
x^2 - 4 = 5x - 8
(solve the equation)
x = 1
x = 4
(substitute the values)
y = 5 × 1 - 8
y = 5 × 4 - 8
(solve the equations)
y = -3
y = 12
( the possible solutions are)
x1, y1 = 1, -3
x2, y2 = 4, 12
(check the solutions)
-3 = 1^2 - 4
-3 = 5 × 1 - 8
12 = 4^2 - 4
12 = 5 × 4 - 8
(simplify)
-3 = -3
-3 = -3
12 = 12
12 = 12
(the ordered pairs are the solutions)
Answer:
0
Step-by-step explanation:
To find the slope between the two given points, you can use the given formula for the slope between two points.
__
<h3>given</h3>
The points are (x1, y1) = (-3, 2) and (x2, y2) = (4, 2).
The formula is ...
slope = (y2 -y1)/(x2 -x1)
__
<h3>use the formula</h3>
Substituting the given values into the formula gives ...
slope = (2 -2)/(4 -(-3)) = 0/7 = 0
The slope of the line is zero.
Answer:
D: x = 2
Step-by-step explanation:
Go down the multiple choices answers and plug each value in for x until the inequality is true:
A:
1/4(32) < 8
1/4 × 32/1 < 8
32/4 < 8
8 < 8
8 is not less than 8 so this is false (8 = 8).
B:
1/4(35) < 8
35/4 < 8
8 3/4 < 8
8 3/4 is not less than 8 so this is false (8 3/4 > 8).
C:
1/4(34) < 8
34/4 < 8
8 2/4 < 8
8 2/4 is not less than 8 so this is false (8 2/4 > 8).
D:
1/4(2) < 8
2/4 < 8
2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).
The answer is -202
Hope this helps! :)