Answer:
3x+.6y+12
Step-by-step explanation:
DIvide everything by -4:
-12x+2.4y-48
-12x/-4=12x/4=3x
2.4y/-4=-.6y
-48/-4=12
<span>Answer: Yes, the 3 foot 3 foot square opening in your ceiling is big enough to insert a 4x8 piece of plywood.</span>
<span>In a 3x3 foot square, we can form two right triangles with same diagonal side or hypotenuse. .</span>
Using the Pythagorean theorem/formula, we can find the length of the hypotenuse or the longest side of the triangle ( c) given the two sides a and b
Substitute values a=3 and b=3 to formula
a^2^+b^2^=C^2^=
3^2^+3^2^=C^2^=
9+9= C^2^
C= square root of 18
C=4.24
<span>A 4x8 piece of plywood can be inserted in a 4.24 opening diagonally.</span>
Answer:
10 times greater
Step-by-step explanation:
Answer:
Step-by-step explanation:
In this problem, we are given expression in exponent form and we have to simplify the expression.
The expression is ![[4(5^{3} )]^{\frac{1}{2} }](https://tex.z-dn.net/?f=%5B4%285%5E%7B3%7D%20%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D)
Now, we know that 
So, 
Now, 500 can be written as 100 × 5 = 10² × 5
Therefore, ![[4(5^{3} )]^{\frac{1}{2} } = (500)^{\frac{1}{2} } = 10\sqrt{5}](https://tex.z-dn.net/?f=%5B4%285%5E%7B3%7D%20%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%28500%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%2010%5Csqrt%7B5%7D%20)
{Since 500 = 100 × 5 = 10² × 5} (Answer)
