Answer:
x=22°, y=50°, z=108°
Step-by-step explanation:
x=22°(alternate angles are equal)
y=50°(angle sum in triangle is 180°)
z=108°
Answer:
D
Step-by-step explanation:
The remaining material can be calculated as
volume of larger cube - volume of smaller cube
= a³ - b³ ← difference of cubes which factors in general as
= (a - b)(a² + ab + b²) → D
Answer:
238 pages
Step-by-step explanation:
So you can set up a proportion for this one:
714pages/3minute=x pages/1minute
Solve for X by dividing 714 by 3 you get 238pages
Answer:
Step-by-step explanation:
<u>The line with points (1,2) and (-1,-8). Work out its equation.</u>
<u>The slope is:</u>
- m = (-8 - 2)/(-1 - 1) = -10/-2 = 5
<u>To find the y intercept, substitute x and y-xoordinates of point (1,2):</u>
- 2 = 5(1) + b
- b = 2 - 5
- b = -3
<u>The line is:</u>
<u>Point (x, 17), substitute y-coordinate and solve for x</u>
- 17 = 5x - 3
- 5x = 17 + 3
- 5x = 20
- x = 20/5
- x = 4
Answer:
Step-by-step explanation:
The parent function is given as:
We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then
We replace x by x-2 in f(x) to get:
When we simplify, we obtain:
