Answer:
22) 119
24) 15
Step-by-step explanation:
22) 61 + b = 180 <-- supplementary because on the same line
b = 119 <-- subtracted 61 from both sides
24) 87 + (6x + 3) = 180 <-- supplementary because on the same line
87 + 6x + 3 = 180 <-- take out parantheses
90 + 6x = 180 <-- add like terms
6x = 90 <-- subtracted 90 from both sides
x = 15 <-- solve for x by dividing 6 from both sides
Answer:
7/20
Step-by-step explanation:
Lowest common denominator
3/5 turns into 12/20.
1/4 turns into 5/20
12 - 5 = 7
Factoring - I always found this to be easy (one of the few things in math that I felt was easy!)
x^2 + 20x + 100 = 36
First step is to get the right side to zero. Do this by subtracting 36.
x^2 + 20x + 64 = 0
Now we have to factor the expression. We could use quadratic formula, completing the square, or use the product/sum rule if possible (which it is).
64's factors are:
1, 64
2, 32
4, 16
8, 8
We need the two factors that sum to 20...
(x + 4)(x + 16) = 0
Set each factor to zero
x + 4 = 0 and x + 16 = 0
Solve each equation
x = -4 and x = -16
You should always check for extraneous solutions. I recommend using desmos.com to check answers!
x^2 - 5x + 6
ax*2 + bx + c
a = 1, b = - 5, c = 6
Question:
What is the length of the rectangle?
Information:
A rectangle has an area of 84 square feet and a width of 7 feet.
Answer:
<h2>
12</h2>
Step-by-step explanation:
84/7 = 12