Answer:
cx +cy = a² + b²
Step-by-step explanation:
In the end, he wants to show that c² = a²+b², so he will want to form the sum a²+b². That sum can be formed by adding the expressions for a² and b² just found:
cx +cy = a² + b² . . . . . . . Todd's next step
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Then the following steps are ...
c(x+y) = a² + b²
c² = a² + b²
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.
Let x be the amount of one of Derek's withdrawals
Each of John's withdrawals was $5 more than each withdrawal that Derek made.
x + 5 is t the amount of one of John's withdrawals
Derek made 7 withdrawals
So amount withdraw 7 times = 7x
John made 5 withdrawals
So amount withdraw 5 times = 5(x+5)
Both Derek and John withdrew the same amount of money in the end
(A)7x = 5(x+5)
(B) Solve for x
7x = 5x + 25
Subtract 5x from both sides
2x = 25
Divide by 2
x = 12.5
(C) check your solution
we plug in 12.5 for x in 7x= 5x + 25
7(12.5) = 5(12.5) + 25
87.5 = 62.5+ 25
87.5 = 87.5
(D) Each brother withdrawal 87.5 dollars
Answer:
See explaination
Step-by-step explanation:
We can define standard deviation in statistics as a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
See attachment for the step by step solution
Answer:
1/4
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator GCD of 18 and 72 is 18
Divide both the numerator and denominator by the GCD 18 ÷ 18 / 72 ÷ 18
Reduced fraction: 1 / 4 Therefore, 18/72 simplified to lowest terms is 1/4.
