Given:
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩.
The point is (-3,-2).
To find:
The image of given point after the transformation.
Solution:
Consider the given point be P(-3,-2).
Rule of transformation is rule R x-axis ∘ T⟨–5, 3⟩. If means first we have apply translation T⟨–5, 3⟩ after that we have to apply reflection R x-axis.
If a figure translated by T⟨–5, 3⟩, then



If a figure reflected by R x-axis, then


Therefore, the image of given point after transformation is (-8,-1).
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:

Thus the correct answer is given by option C.
2/3 of a pizza is more than half of the pizza.
3/6 = 1/2, so 3/6 of a pizza is exactly half of the pizza.
Given that two pizzas are of different sizes you need to calculate the areas of each pizza and compare them.
Assumming that the two pizzas are circular, you can calculate the area of each pizza from the formula of the area for a circle:
Area of a circle = π * (radius)^2.
Call r the radius of Jake's pizza and R the radius of Al's pizza. Then:
Area of Jake's pizza = π (r^2) and 2/3 of that is: 2π(r^2) / 3.
Area of Al's pizza = π (R^2) and 1/2 of that is π(R^2)/2
So, what you have to do is to use the radius of each pizza, calculate above formulaes and verify whether the results are the same or not.
Answer:
10
Step-by-step explanation:
45-15=30
30/3=10
A number minus twenty four