Answer:
1/8 or 0.125
Step-by-step explanation:
hope this helped
Eric need 5 batches of paving stones to created his patio.
Answer:
X=10, x=4
Step-by-step explanation:
first, divide 14 by 2, and square it; giving you
x^2-14x+(7)^2=-40
Because 7^2 is 49, you have to add 49 to the other side; giving you
x^2-14x+(7)^2=9
Then factor the left side; giving you (x-7)^2=9
Take the square root of both sides, giving you
(x-7)^2= plus or minus 3
Then solve to get two solutions, 10 and 4
To answer, determine the amount of paint that is needed in order to cover the whole of the sign. If we use the ratio and proportion and letting x be the unknown amount. The equation would be,
1/2 / 1/3 = x / 1
The value of x from the equation is equal to 1.5. Thus, the answer is letter D. 3/2 cups.
Answer:
![\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8](https://tex.z-dn.net/?f=%5Cleft%28ab%5E2x-b%5E4a%5E3%5Cright%29%5E2%3A%5Cquad%20a%5E2b%5E4x%5E2-2a%5E4b%5E6x%2Ba%5E6b%5E8)
Step-by-step explanation:
Given the expression
![\left(ab^2\:x\:-b^4a^3\right)^2](https://tex.z-dn.net/?f=%5Cleft%28ab%5E2%5C%3Ax%5C%3A-b%5E4a%5E3%5Cright%29%5E2)
solving the expression
![\left(ab^2\:x\:-b^4a^3\right)^2](https://tex.z-dn.net/?f=%5Cleft%28ab%5E2%5C%3Ax%5C%3A-b%5E4a%5E3%5Cright%29%5E2)
![\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a-b\right)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3APerfect%5C%3ASquare%5C%3AFormula%7D%3A%5Cquad%20%5Cleft%28a-b%5Cright%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![a=ab^2x,\:\:b=b^4a^3](https://tex.z-dn.net/?f=a%3Dab%5E2x%2C%5C%3A%5C%3Ab%3Db%5E4a%5E3)
so the expression becomes
![=\left(ab^2x\right)^2-2ab^2xb^4a^3+\left(b^4a^3\right)^2](https://tex.z-dn.net/?f=%3D%5Cleft%28ab%5E2x%5Cright%29%5E2-2ab%5E2xb%5E4a%5E3%2B%5Cleft%28b%5E4a%5E3%5Cright%29%5E2)
![=a^2b^4x^2-2a^4b^6x+a^6b^8](https://tex.z-dn.net/?f=%3Da%5E2b%5E4x%5E2-2a%5E4b%5E6x%2Ba%5E6b%5E8)
Thus,
![\left(ab^2x-b^4a^3\right)^2:\quad a^2b^4x^2-2a^4b^6x+a^6b^8](https://tex.z-dn.net/?f=%5Cleft%28ab%5E2x-b%5E4a%5E3%5Cright%29%5E2%3A%5Cquad%20a%5E2b%5E4x%5E2-2a%5E4b%5E6x%2Ba%5E6b%5E8)