The sum of the squares of two positive integers is 394. If one integer is 2 less than the other and the larger integer is x. Find the integers.

Answers

Answer 1

Answer: 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

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What is 5m² when m = 6?

Answers

5 * 6^2
5 * 36
180

Answer: 180

How do you figure out what is 1/4 of 10.

Answers

You can multiply 10 by 1/4 or .25

10x.25=2.5

as you know ( i think) of means to multiply so do 1 over 3 1/3 times 10 over 1 (10/1
because 10/1 =10 hope i helped :)

We have two fractions, 1/6 and 3/8, and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator?

Answers

Answer:

12,24 etc

Step-by-step explanation:4 and 6 both go into 12 evenly

4*3 = 12

6*2 = 12

12 is the least common denominator

We could also use 24

4*6 = 24

It is a common denominator, but not the least common denominator

We can use any multiple of 12

Find the quotient.(6x 2 + 23x + 20) ÷ (5 + 2x)

3x - 4
3x + 4
3x +19

Answers

$(6x^(2) + 23x + 20)/(2x + 5) = (6x^(2) + 15x + 8x + 20)/(2x + 5) = (3x(2x) + 3x(5) + 4(2x) + 4(5))/(2x + 5) = (3x(2x + 5) + 4(2x + 5))/(2x + 5) = ((3x + 4)(2x + 5))/(2x + 5) = 3x + 4$

The answer is B.

Answer:

3x+4

Step-by-step explanation:

You have to simplify this without any negative exponents. Where would I start?

Answers

You have these: (a^m)^n = a^(m*n) and a^(-n) = 1/ (a^n), with n > 0 => (81^5 * y)/(x^5);

A piece of wood is 7 feet long. how many 2-foot-long pieces can sue cut from the wood?

Answers

Sue can cut 3 2-foot pieces from the 7-foot board.

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