Answer:
y = -2x
Step-by-step explanation:
Equation in slope-intercept form is y = mx + b.
m = slope = ∆y/∆x
Using any two points on the line, say (0, 0) and (-20, 40),
Slope (m) = (40 - 0) / (-20 - 0) = 40/-20
Slope (m) = -2
b = y-intercept = the value of y when x = 0.
b = 0
To write the equation of the line, substitute m = -2 and b = 0 into y = mx + b
Thus:
y = -2x + 0
y = -2x
Answer:
<h2>B: (
11-4) + 3x (11-4) - 5 = 23 songs</h2>
Step-by-step explanation:
Step 1: find the area of the base
A=l*w = 8.25*5.5 = 45.375
Step 2: find the perimeter of the base
P=2l+2w = 2(8.25) + 2(5.5) = 16.5 + 11 = 27.5
Step 3: find the surface area of the prism
SA=2A+Ph = 2(45.375) + 27.5(4.5) = 90.75 + 123.75 = 214.5
Hope this helps
Answer:
The largest number of pyramids she can make from 20 bars of chocolate is:
Step-by-step explanation:
Firstly, you must find the volume of the 20 bars of chocolate, remember that each bar contains 6 cubic inches of chocolate (6 in^3), so:
- Volume of the bars = 6 in^3 * 20
- <u>Volume of the bars = 120 in^3</u>
Now, you must find the volume of each pyramid, using the next formula:
- Volume of a pyramid = 1/3 B * h
Where:
<em>B = area of the square base.</em>
<em>h = height of the pyramid.</em>
How these values are given in the problem, we only replace the values in the formula:
- Area of a pyramid = 1/3 (1 in^2) * 2 in
- <u>Area of a pyramid = 2/3 in^3</u>
Finally, we divide the volume of the bars in the volume of each pyramid:
- Total number of pyramids = 120 in^3 / 2/3 in^3
- <u>Total number of pyramids = 180</u>
