Try to imagine this word problem, there is a wall and a ladder leaning against it, the space from the bottom of the ladder is labeled 6 and the length of the height the ladder reaches on the wall is 8. Imagine this as a right triangle now, where the length of the ladder is the hypotenuse and the length of the legs of the triangle is 6 and 8. Because we know this, we can use the Pythagorean theorem, a^2+b^2=c^2
We then plug in the values and you get 6^2+8^2=c^2
When you simplify, you get 36+64=c^2 which is c^2=100
When you solve for c, you get c=10 which would be the length of the ladder :)
Answer:
to simplify the square root of 75, first I recognize that the perfect square 25 goes into it. So 75 = 25 x 3. Therefore the square root of 75 equals the square root of 25 times the square root of 3. And that means just 5 times the square root of 3.
Step-by-step explanation:
Answer:
The percentages are 267% and 400% respectively.
Step-by-step explanation:
To find the answers of these, you need to divide the second number by the first. This will give you the percentage.
2/3 ÷ 1/4 = 8/3 = 2.67 = 267%
You can do the same for the second one.
2/3 ÷ 1/6 = 12/3 = 4 = 400%
When multiplying terms that have the same base (in this case, 
) but different exponents, you can add their exponents to make them one term.
In this case, we can add the exponents of :
A simplified version is 
.
Answer:
6x^2 +14x
Step-by-step explanation:
Multiply using the distributive property.
