Answer:
The answer to your question is (-4, 9) and (3, 2)
Step-by-step explanation:
Data
Equation 1 y = x² - 7
Equation 2 y = -x + 5
Process
1.- Substitute Equation 2 in equation 1
-x + 5 = x² - 7
2.- Equal to zero
x² + x - 7 - 5 = 0
x² + x - 12 = 0
3.- Factor to find x
(x + 4)(x - 3) = 0
x₁ + 4 = 0 x₂ - 3 = 0
x₁ = -4 x₂ = 3
4.- Substitute x₁ and x₂ to find y
y = -x + 5 x₁ = -4
y = -(-4) + 5
y = 4 + 5
y = 9 Solution (-4, 9)
y = -x + 5 x₂ = 3
y = -3 + 5
y = 2 Solution (3, 2)
Answer:
7
Step-by-step explanation:
When evaluating absolute values, a great way to remember what they do is simple. No matter the number, whether it is negative or positive, the number(s) IN THE absolute values are ALWAYS positive.
So, |x + y| is then substituted with the numbers given for the variables.
|x + y|
|8 - 15|
|-7|
7
Hope this helps!
Answer:
Option a. 30 units
Step-by-step explanation:
we know that
An equilateral triangle has three equal sides
so
XY=YZ=XZ
The perimeter of triangle XYZ is equal to
<u><em>Find the distance XZ</em></u>
the formula to calculate the distance between two points is equal to
we have
X is located at (-5, -9) and Z is located at (1, -17)
substitute the values in the formula
Find the perimeter
Answer:
It should be c 42.
Step-by-step explanation:
Because [(7-3)2+6]3
[(4)2+6]3
[8+6]3
[14]3
42
Sorry if it's long
