Step-by-step explanation:
Volume of a cylinder is:
V = πr²h
V = (3.14) (4 in)² (5 in)
V = 251.2 in³
Volume of a cone is:
V = ⅓ πr²h
V = ⅓ (3.14) (4 in)² (15 in)
V = 251.2 in³
The volumes are equal.
Answer:
Step-by-step explanation:
3y=7x+2
one pair is (1,3)
go on adding 3 in x=1,you get corresponding value of y.
x=4,y=10,(4,10)
and so on .
Answer:
<h2> FACTOR pairs are a set of two integers that when multiplied together gives a particular product.</h2>
<h3>FACTOR pairs of 12 are :</h3><h3>1 and 12 because 1 x 12 = 12</h3><h3>2 and 6 because 2 x 6 =12</h3><h3>3 and 4 because 3 x 4 = 12</h3>
<h3>Hope you understand</h3><h3>Hope this helps.</h3><h3>Good luck ✅.</h3>
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
y = 5x-1
Step-by-step explanation:
parallel lines have the same slope.
y intercept: -1
slope: 5
- 1 is the same as +-1
so, y = 5x-1
