Answer:
5.7in
Step-by-step explanation:
using Pythagorean theorem
c^2=a^2+b^2
c=9in ,a=7in,b=xin
9^2=7^2+x^2
81=49+x^2
x^2=81-49
x^2=32
x=√32
x=5.7in(to the nearest tenth)
since its isosceles its a 45,45,90 right triangle which means the sides are in the proportion of x,x,x root 2
since the leg is 7 root 3 that means the hypotenuse is 7 root 6
P= parentheses or ()
E= exponents such as

M= multiplying
D= division
A= Addition
S= Subtraction
Another popular acronym is BEDMAS, which is pretty much the same except for division and multiplication are switched and it uses the word Brackets to describe these: ().
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Equation 1: x² + y = 7
Equation 2: 3x + 7 = 9
Use Equation 2 to solve for "x" and plug in "x" into Equation 1 to solve for "y".
3x + 7 = 9
3x = 2
x = 
*********************************
x² + y = 7
(
)² + y = 7
+ y = 7
y = 7 -
y =
-
y =
Answer: (
,
)