Answer:
1: C
2:A
Step-by-step explanation:
Dialation is just the multiplucation of the size. If the original point is 2, 4 dialated to 2 is would be 4, 8. Basiccly just multiply by 2 in this example.
Y - 5x = 10 can be written in the slope-intercept form as
y = 5x + 10
The slope-intercept form is y = mx + b, where m = slope, and b = y-intercept.
In this case, the 5 is the slope.
Parallel lines have equal slopes, so the line we need to find also has a slope of 5. Its equation is
y = 5x + b
We need to find what b is.
We can use the given point, (3, 10), in for x and y and solve for b.
10 = 5 * 3 + b
10 = 15 + b
-5 = b
Now that we know that b = -5, we replace b with -5 to get our equation
y = 5x - 5
Answer:
890.1 cm^3
Step-by-step explanation:
The volume of the cylinder is given by the formula ...
V = πr^2h
Filling in the given numbers, we find the volume of the cylinder to be ...
V = π(5 cm)^2(8 cm) = 200π cm^3
__
The volume of a hemisphere is given by the formula ...
V = (2/3)πr^3
Filling in the given radius, we find the hemisphere volume to be ...
V = (2/3)π(5 cm)^3 = 250π/3 cm^3
__
The total volume of the toy is presumed to be the sum of these volumes, so is ...
toy volume = (200π cm^3 +250π/3 cm^3) = 850π/3 cm^3
toy volume ≈ 890.1 cm^3
Answer:
3/500
Step-by-step explanation:
3/5 x 1%
=> 3/5 x 1/100
=> 3/500
Hope it helps you