Answer:
7y+6
Step-by-step explanation
You have to do 2 times y first. That is 2y. Then you have to add 2y plus 5y, which is 7y. 7y plus 6 equals 7y+6.
Answer:
discount = 290 × <u>1</u>
4
= 72.50
new price is
290.00
<u>72.50</u> -
217.50
This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
a^6
Step-by-step explanation:
a^1 * a^2 * a^3 = 1+2+3(add all power when same variable)
a^6
Answer:
D. 6
Step-by-step explanation:
the similarity theorem:
x/9 = 8/12
12x=8 (9)
12x = 72
x = 72/12
x = 6