In order to solve the given expression follow these steps:
1. Take the square roots on both sides in order to get rid of the power on the left side:
√(x-5)² = ±√3
x - 5 = ±√3
2. add 5 on both sides:
x-5 + 5 = 5 ±√3
x = 5 ±√3
Then, the solution is x = 5 ±√3
Width= W
length=2w+11
diagonal=2w+13
use the Pythagorean Theorem
(2w+13)^2=w^2+(2w+11)^2
4w^2+52w+169=w^2+4w^2+44w+121
simplify
52w+169=w^2+44w+121
w^2+44w-52w-169+121=0
w^2-8w-48=0
factor
(w-12)(w+4)=0
w-12=0
w=12 inches (width)
l=2*12+11=35 inches (length)
Answer:
108 square feet
Step-by-step explanation:
This question is essentially asking us for the area. (Don't be fooled into thinking this is a perimeter question. Imagine if you had a floor with just a ring of carpet on the edges!)
Let's separate this into areas we can understand. The square to the right, with dimensions 6 ft by 6ft, has an area of
A = s*s = 6*6 = 36 square feet
The rectangle that we have left has dimensions 12 ft by 6 ft, so it has an area of
A = l*w = 12*6 = 72 square feet
Add those together to get the total area.
A(rect) + A(square) = 72 + 36 = <u>108 square feet</u>
For this case we have the following expression:
By properties of exponents we have:
Then, rewriting the expression we have:
Since we must write the expression without exponents, then we must remember that:
"In the multiplication, if we have the same base, the exponents are added"
Therefore, by rewriting the expression we have:
Answer:
The expression without exponents can be written as:
Answer:
Yes
Step-by-step explanation:
a+b=c ,a could be 9+9 which equals 18 which is greater than 10,
