Answer:
x=-8 ,2
Step-by-step explanation:
x ^ 2 + 6x - 6 = 10
Add 6 to each side
x ^ 2 + 6x - 6+6 = 10+6
x ^ 2 + 6x = 16
Complete the square take the coefficient of the x terms, divide by 2 and square it. Then add it to each side
6/2 =3 , 3^2 =9
x ^ 2 + 6x +9 = 16+9
(x+3)^2 = 25
Take the square root of each side
sqrt((x+3)^2) = ±sqrt(25)
x+3= ±5
Make 2 equations
x+3 = 5 x+3 = -5
Subtract 3 from each side
x+3-3 =5-3 x+3-3 = -5-3
x =2 x=-8
We could find the slope with this formula
m = (y₂ - y₁)/(x₂ - x₁)
with (x₁,y₁) and (x₂,y₂) are the points that is located on the line.
NUMBER 20
Given:
(x₁,y₁) = (-2,3)
(x₂,y₂) = (7,-4)
Solution:
Input the points to the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (-4 - 3) / (7 - (-2))
m = -7 / (7+2)
m = -7/9
The slope of the line is -7/9
NUMBER 21
Given:
(x₁,y₁) = (-6,-1)
(x₂,y₂) = (4,1)
Solution:
Input the points to the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (1-(-1)) / (4 -(-6))
m = (1+1) / (4+6)
m = 2/10
m = 1/5
The slope of the line is 1/5
NUMBER 22
Given:
(x₁,y₁) = (-9,3)
(x₂,y₂) = (2,1)
Solution:
Input the points to the formula
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 3) / (2 - (-9))
m = -2 / (2 + 9)
m = -2/11
The slope of the line is -2/11
Answer:
x+y
5
Step-by-step explanation:
Pizza: $15
Chicken Fingers (Dozen): $10
5x= $75
The answer should be 15x + 10y ≤ 120
Since the pizza is x and chicken fingers is y then this should be the answer.
(I think)
The answer would be
4
5
6
Yes
Answer:
The solution is (2, -2)
Step-by-step explanation:
In order to solve this, multiply the second equation by -5 and then add through.
5x - 4y = 18
-5x - 15y = 20
------------------
-19y = 38
y = -2
Now that we have the value of y, we can solve for x.
x + 3y = -4
x + 3(-2) = -4
x - 6 = -4
x = 2
