Answer:
-3/2
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. That means that it's the reciprocal, but with the opposite sign. The slope of a line perpendicular to a line with slope 2/3 would be -3/2. Here's how to figure it out:
Start with the slope: 2/3
Flip the fraction to find the reciprocal : 3/2
The sign has to be changed! So the negative reciprocal is -3/2.
The surface area of the figure is 96 + 64π ⇒ 1st answer
Step-by-step explanation:
* Lats revise how to find the surface area of the cylinder
- The surface area = lateral area + 2 × area of one base
- The lateral area = perimeter of the base × its height
* Lets solve the problem
- The figure is have cylinder
- Its diameter = 8 cm
∴ Its radius = 8 ÷ 2 = 4 cm
- Its height = 12 cm
∵ The perimeter of the semi-circle = πr
∴ The perimeter of the base = 4π cm
∵ The area of semi-circle = 1/2 πr²
∴ The area of the base = 1/2 × π × 4² = 8π cm²
* Now lets find the surface area of the half-cylinder
- SA = lateral area + 2 × area of one base + the rectangular face
∵ LA = perimeter of base × its height
∴ LA = 4π × 12 = 48π cm²
∵ The dimensions of the rectangular face are the diameter and the
height of the cylinder
∴ The area of the rectangular face = 8 × 12 = 96 cm²
∵ The area of the two bases = 2 × 8π = 16π cm²
∴ SA = 48π + 16π + 96 = 64π + 96 cm²
* The surface area of the figure is 96 + 64π
Answer:
X=5 (Or (5,0))
Step-by-step explanation:
The Y intercept is when X=0
The X Intercept is when Y=0
Our equation is y=-4200x+21000
So let's rewrite it... First subtract 21,000 (Also, remember Y is 0)
0-21000=-4200x
-21000=-4200x
Now to get X alone, divide -21000 by -4200
This will give us 5=x, which is the same as x=5. There is your answer!
Answer:
Step-by-step explanation:
5 consecutive multiples of 5....
x , x + 5, x + 10, x + 15, x + 20
the average is 20...
(x + x + 5 x + 10 + x + 15 + x + 20) / 5 = 20
(5x + 50) / 5 = 20
5x + 50 = 20 * 5
5x + 50 = 100
5x = 100 - 50
5x = 50
x = 50/5
x = 10......smallest number
x + 5 = 10 + 5 = 15
x + 10 = 10 + 10 = 20
x + 15 = 10 + 15 = 25
x + 20 = 10 + 20 = 30 <=== largest number
Answer:
12. B , 13. 4
Step-by-step explanation: