Answer: The perimeter of the garage is 48
Area of a square = 144
a x a = 144
a = 12
Perimeter = 4a
= 4 x 12
= 48
Answer:
Step-by-step explanation:
Given the vectors based on the number line as RS = 7y +3, ST = 5y +8, and RT = 83, the equation RS+ST = RT will be used to get the unknown.
Substituting the given equation into the expression we will have;
7y +3+5y +8 = 83
collect like terms'
7y+5y+3+8 = 83
12y + 11 = 83
12y = 83-11
12y = 72
y = 72/12
y = 6
b) Substitute y = 6 into RS and ST
Given RS = 7y+3
RS = 7(6)+3
RS = 42+3
RS = 45
For ST;
ST = 5y+8
ST = 5(6)+8
ST = 30+8
ST = 38
The value of x is ![5\sqrt[3]{25}](https://tex.z-dn.net/?f=5%5Csqrt%5B3%5D%7B25%7D)
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Solution:
Given expression is ![-7=8-3 \sqrt[5]{x^{3}}](https://tex.z-dn.net/?f=-7%3D8-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D)
.
Switch both sides.
![8-3 \sqrt[5]{x^{3}}=-7](https://tex.z-dn.net/?f=8-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%3D-7)
Subtract 8 from both side of the equation.
![8-3 \sqrt[5]{x^{3}}-8=-7-8](https://tex.z-dn.net/?f=8-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D-8%3D-7-8)
![-3 \sqrt[5]{x^{3}}=-15](https://tex.z-dn.net/?f=-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%3D-15)
Divide by –3 on both side of the equation.
![$\frac{-3 \sqrt[5]{x^{3}}}{-3} =\frac{-15}{-3}](https://tex.z-dn.net/?f=%24%5Cfrac%7B-3%20%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%7D%7B-3%7D%20%3D%5Cfrac%7B-15%7D%7B-3%7D)
![\sqrt[5]{x^{3}}=-5](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%3D-5)
To cancel the cube root, raise the power 5 on both sides.
![(\sqrt[5]{x^{3}})^5=(-5)^5](https://tex.z-dn.net/?f=%28%5Csqrt%5B5%5D%7Bx%5E%7B3%7D%7D%29%5E5%3D%28-5%29%5E5)
To find the value of x, take square root on both sides.
![\sqrt[3]{x^3}=\sqrt[3]{25}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%5E3%7D%3D%5Csqrt%5B3%5D%7B25%7D)
![x=5\sqrt[3]{25}](https://tex.z-dn.net/?f=x%3D5%5Csqrt%5B3%5D%7B25%7D)
Hence the value of x is .
15 the answer would be and is 15
