Answer:
C(cone with a radius of 8 units)
Explanation:
When a triangle is spun around its center, it makes a cone (can't make a cylinder because when spun, it doesn't have 2 circular bases). The radius would be 8 because that is what makes the circular base. The 6 is just the height of the triangle and cone once it is spun, it doesn't have anything to do with the base and its radius.
7:54...10:55 - 33 minutes is 10:22. Then subtract 2 hours, brings you to 8:22. Then subtract 28 minutes, and is 7:54
Answer:
The slope is -2
y =-2x - 1
Step-by-step explanation:
The slope is -2 or -2/1.
The slope is the change in y over the change in x. The ordered pair is written in the form (x,y) The first number is the x coordinate and the second number is the y coordinate.
(1, -3) (0, -1) The -1 and the -3 are the y coordinates. We subtract these.
-1 -(-3) is the same as
- 1 + 3 which is 2.
(1, -3) (0, 1,) the 1 and the 0 are the x coordinates. We subtract these
0 - 1 is -1
The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.
To write the equation we need the slope and the y intercept. We have the slope now. We need to find the y-intercept. We will use the slope and one of the points to find the y-intercept. It does not matter which of the two points (1,-3) or (0,-1). I will use (0,-1)
y = mx + b The b is the y-intercept which is what we are looking for
-1 = -2(0) + b
-1 = 0 + b
-1 = b
y = -2x -1
Answer:
<h2><u>STEPS</u></h2>
-
Step I: Obtain the given number.
- Step II: Resolve the given number into prime factors by successive division.
- Step III: Make pairs of prime factors such that both the factors in each pair are equal. Since the number is a perfect square, you will be able to make an exact number of pairs of prime factors.
- Step IV: Take one factor from each pair.
- Step V: Find the product of factors obtained in step IV.
- Step VI: The product obtained in step V is the required square root.
<h2><u>Example </u></h2>
<u>
Find the square root of 324</u>
- 324 = 2 x 162
- = 2 x 2 x 81
- = 2 x 2 x 3 x 27
- = 2 x 2 x 3 x 3 x 9
- = 2 x 2 x 3 x 3 x 3 x 3
- ∴ √324 = √( 2 x 2 x 3 x 3 x 3 x 3 )
- √324 = 2 x 3 x 3
- √324 = 18
Answer:
12x-21
Step-by-step explanation:
3/4(16x-27-1)
3/4(16x-28)
12x-21
