On a coordinate plane, a triangle has points A prime (negative 2, 10), B prime (negative 6, 4), and (negative 10, 8). What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the line y = x? (10, –2) (–10, 2) (–2, –10) (2, 10)

(A)(10, –2)

Step-by-step explanation:

The image of the given triangle has points :

When points are reflected across the line y = x, the x-coordinate and y-coordinate change places.

Therefore, the pre-image of the triangle has points:

Therefore, the pre-image of vertex A' is (10,-2).

The correct option is A.

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere