Answer:
The sequence of transformations that maps ∆ABC to ∆A′B′C′ is a reflection across the line y = x followed by a translation 10 units right and 4 units up. Thus, the correct answer is (1) y = x and (2) 10 units to the right and 4 units up.
Step-by-step explanation:
Since we are dealing with a volume problem (3 dimensions) when you increase the radius by a factor of 2, you increase the volume by a factor of 2^3 or 8
So, the larger sphere has a volume 8 times greater than the smaller sphere.
Answer:
(1, 1 )
Step-by-step explanation:
Given the 2 equations
y = - 5x + 6 → (1)
y = 3x - 2 → (2)
Since both equations express y in terms of x, equate the right sides
3x - 2 = - 5x + 6 ( add 5x to both sides )
8x - 2 = 6 ( add 2 to both sides )
8x = 8 ( divide both sides by 8 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting x = 1 in (2)
y = 3(1) - 2 = 3 - 2 = 1
Solution is (1, 1 )
16<2(3x-1)<28 divide all terms by 2
8<3x-1<14 add 1 to all terms
9<3x<15 divide all terms by 3
3<x<5
x=(3,5) in interval notation
On a number line, it would be a line segment from 3 to 5 with open circles at 3 and 5.
On a coordinate system graph, it would be an infinitely high shaded plane between the vertical lines x=3 and x=5
