Larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x
(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13
find other
y+2=x
13+2=x
15=x
numbers are 13 and 15
Answer:
C
Step-by-step explanation:
The answer is C, because X is per year, so its 150 books per year, and the library already had is 7000 bc your adding that number to the amount of books your going to buy per year
Total amount = 1 x 10 + 3 x 5 = $25
Amount spent = $9.30 + $4.20 = $13.50
Amount left = $25 - $13.50 = $11.50
Answer: $11.50
Answer:
$4.50 per hour
Step-by-step explanation:
Step 1: 27 divided by 6 is 4.50
Step 2: Double check your work by multiplying 4.50 times 6 to make sure you get 27
Answer:
all boxes except first should be checked
Step-by-step explanation:
the shaded area contains all solutions
see if each ordered pair resides in the solution area
