Using the Pythagorean theorem:
12^2 + x^2 = 15^2
144 + x^2 = 225
x^2 = 225 - 144
x^2 = 81
x = sqrt(81)
x = 9
A. 6xy(2x^2y^2-4xy^2)
If you need to multiply 6xy and 2x^2y^2 & 6xy and 4xy^2.
You will get 12x^3y^3-24x^2y^3.
b. Factorization is not complete because 6xy is not the greatest common factor.
c. Complete factor: 12x^2y^3(x-2y).
Point slope form is y=mx+b. m is slope and b is the y intercept (where it crosses the y axis). So far we have y=2x+b. Because it crosses the origin (0,0) the y intercept is 0. So we just write y=2x
Answer: Jacob's second jump was 6 1/3 feet
Step-by-step explanation:
On his first jump, he jumped 7 2/3
feet. We would convert each mixed fraction to improper fraction
to enable easy addition and subtraction. Converting 7 2/3 feet to improper fraction, it becomes 23/3 feet.
His second jump was 1 1/3 feet shorter. Converting 1 1/3 feet to improper fraction, it becomes 4/3 feet.
Therefore, the distance that Jacob covered on his second jump would be
23/3 - 4/3 = 19/3 feet
Converting 19/3 feet back to mixed fraction, it becomes
6 1/3 feet
