Answer:
90
Step-by-step explanation:
9^2 = 81 and 3^2 = 9
81 + 9 = 90
The answer for the following question is A) -b
First find the common factor of -30 and 75, which is 15.
Next find the common factors of the variables:
The factors of x$6 is x*x*x*x
Factor for y is y
Factors for Z^3 is z*z*z
Factors for Z^2 is z*z
The GCF would be x^4z^2
Final answer = 15x^4z^2
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
The Pythagorean Theorem states that a² + b² = c², c being the hypotenuse.
Substitute known values into the equation.
7² + 2² = c²
49 + 4 = c²
c² = 53
c = √53
c = 7.28010989
Answer: The hypotenuse's length is 7.3 feet.
