Answer:
x=-6
×=1
Step-by-step explanation:
remove parentheses
connect like terms
change the signs
calculate the discriminant
simplify
Answer:
x = 3
Step-by-step explanation:
7(x + 1) + 2 = 5x + 15
~Simplify left side
7x + 7 + 2 = 5x + 15
~Combine like terms
7x + 9 = 5x + 15
~Subtract 9 to both sides
7x = 5x + 6
~Subtract 5x to both sides
2x = 6
~Divide 2 to both sides
x = 3
Best of Luck!
Slope = -4/5
to calculate the slope m use the gradient form
m = y2 -y1
————
x2 - x1
let (x1, y1) = (3,1) and (x2, y2) = (-2, 5)
m = 5 - 1 4
———- = ——-
-2 - 3 -5
= - 4/5
Answer:
Step-by-step explanation
6n - 6 = 2 (n+1)
Simplify 2 (n+1)
6n - 6= 2n +2
Move all terms related to n to the left side of the equation
4n -6 =2
Move all terms not related to n to the right side of the equation
4n =8
Divide each term by 4 then simplify
n=2
Answer:
3) 16.2
Step-by-step explanation:
The supplement to the 115° angle on the right is 65°, the same as the angle at upper left. The vertical angles at C are the same measure, so this tells you that the two triangles FCB and ACD are similar by the AA similarity postulate. That being the case, corresponding sides are proportional:
CB/CD = CF/CA
CB = CD·CF/CA = 7.2·21.6/9.6
CB = 16.2
_____
When given two "point-to-point" triangles like this, quite often there is some sort of similarity relationship involved. First, you need to figure out what it is; then you need to make use of it as needed to answer the question being asked.
