Here we have the equation given which is 2(8-2x)+2(4-2x)=18 .
Here x is the width and 18 is the perimeter. We need to find the width that is we have to solve for x .
And to solve for x first we distribute 2 on 8-2x and 2 on 4-2x .
2* 8 +2*(-2x) +2(4)+2(-2x)=18
16-4x+8-4x=18
Now we combine the like terms .
16+8 -4x-4x=18
24 -8x =18
Now we need to move 24 to the right side, and for that we subtract 24 .
24-8x-24 =18-24
-8x =-6
Now we need to get rid of -8 and for that we divide both sides by -8 .
x = 6/8 = 3/4 .
Answer:
square inches
Step-by-step explanation:
Given:
A pie company arranges its three-flavor cheesecake sampler into equal-sized slices: S represents strawberry, C represents chocolate, and P represents plain.
Diameter of the pie = 12 inches
To find: total area of the strawberry portion in the pie
Solution:
Diameter of the pie = 12 inches
Radius of the pie (r) = Diameter / 2 = inches
Area of the pie = square inches
Ratio of the strawberry portion in the pie =
Therefore,
total area of the strawberry portion in the pie = square inches
Answer:
The answer to your question is Amy is correct.
Step-by-step explanation:
Data
Equation 2x² + 5x - 42 = 0
-Factor
2 x 42 = 84
- Find the prime factors of 84
84 2
42 2
21 3
7 7
1
84 = 2² 3 7
-Find two numbers that added gives 5
These numbers are 12 and -7
- Express the equation using these numbers
2x² + 12x - 7x - 42
-Factor by common factor
2x(x + 6) -7(x + 6)
-Factor by grouping
(x + 6)(2x - 7)
-Find the roots
x₁ + 6 = 0 2x₂ - 7 = 0
x₁ = -6 2x₂ = 7
x₂ = 7/2
Answer:
6 m
Step-by-step explanation:
The sine of an angle is the ratio between the opposite side of the angle and the hypotenuse.
Hence, sin 30° =
=
a = 12sin30°
a = <u>6m</u>