Answer:
the desired line is y = 5x - 42
Step-by-step explanation:
Any two parallel lines have the same slope. So if we're given y = 5x – 2, the desired parallel line will have an equation with the same form but a different y-intercept. Let's write out y = 5x – 2 and then replace x with 8 and y with -2. We get:
-2 = 5(8) + b, where b is the y-intercept of the new line.
Then b = -42, and the desired line is y = 5x - 42
Answer:
(a) 1
Step-by-step explanation:
When you draw a horizontal line on the graph at y=1, you see it intersects the curve in two places. That is, there will be 2 real solutions to f(x) = 1, not 4 solutions.
If you want 4 solutions, the value of c in f(x)=c cannot be 1.
Answer:
D
Step-by-step explanation:
First put the data from smallest to largest
12 points, 17 points,21 points, 23 points, 24 points, 28 points,29 points
The left end of the whisker should be 12 (This eliminates graph a)
The right end of the whisker should be 29 (This eliminates graph b)
There are 7 points
The middle point is 4
The 4th point is 23
That is the line in the middle of the box (This eliminates graph c)
The lower line of the box is at at point 2 = 17
The upper line of the box is at point 6 = 28
This leaves us with graph D
Answer:
4
Step-by-step explanation:
There are 4 numbers to the right of decimals in question.
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The surface area of the trash can = 25.12 ft²
Solution:
The given image is splitted into two shapes.
One is Cylinder and the other is hemisphere.
Radius of the cylinder = 2 ÷ 2 = 1 ft
Height of the cylinder = 4 – 1 = 3 ft
Curved surface area of the cylinder = 

= 18.84 ft²
Curved surface area of the cylinder = 18.84 ft²
Curved surface area of the hemisphere = 

= 6.28 ft²
Curved surface area of the hemisphere = 6.28 ft²
Surface area of the trash = CSA of cylinder + CSA of hemisphere
= 18.84 ft² + 6.28 ft²
= 25.12 ft²
The surface area of the trash can = 25.12 ft²