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:
(3) ABCE hope this is correct
So hmmm if we use the "intersecting chords theorem", the angle of 93°, is really 1/2 * (arcBC + arcAD)
thus
Answer:
The amount of sparkling water that would be needed to mix with 9 quarts of grape juice is 18 quarts.
Ratio expresses the relationship between two or more numbers. It shows the frequency with which one value is contained in another value. According to the question, the ratio of sparkling water to grape juice is .
In order to determine the amount of sparkling water that would be needed with 9 quarts of grape juice, this equation would be used:
( × 9) ÷
( × 9) × = 18 quarts
To learn more about ratios, please check: brainly.com/question/17995727
Step-by-step explanation:
Answer:
$4625.10
Step-by-step explanation:
Her account already had $904.31
You now need to add $375.
Then add $500 twice.
Because of how banks work, we need to find out how much they pay monthly. There are 12 months in a year. 5.5 divided by 12 is 0.45.
45% of 1279.31 is 575.68
Now we add the $575.68 to $1279.31
April is a new month and she deposited $500.
45% of 1854.99 is 834.74
Add $834.74 to $1854.99
Then she deposits 500 on May, another new month.
I think this step is obvious. Just follow what you did last time.
This leaves her with $4625.10
