if a > 0, there are two possible solutions:

the square root of a square is the base in absolute value bars


if a = 0, that means x = 0. anything multiplied by 0 is 0
if a < 0, there are no solutions because anything squared has to be positive
Write down some possibilities of the 2 numbers that add up to 32 first.
16+16, 15+17, 14+18, 13+19, 12+20
12 and 20 works because 12*5=60 and 20*3=60
Your answer is 12 and 20 (:
Answer: see below
Step-by-step explanation:
If this is a 6 sided die then the only possible roll that isnt an odd, a 2, or a 4 is 6.
The probability of something happening is also the probability of something not happening. So in order to not roll an odd, a 2 or a 4 in two rolls, you have to roll a 6 twice.
P = 1 - (1/6)(1/6) = 1 - (1/36) = (35/36)
Answer: 2/3
Step-by-step explanation:
3(y-1) = 2x + 2
Expand: 3y - 3 = 2x + 2
Isolate the y by adding 3 to both sides: 3y = 2x +5
Isolate the y by dividing 3 from both sides: y = 2/3x +5/3
Remember, in y = mx + b, m = slope.
So, 2/3 is the slope.
Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²