Answer:
Step-by-step explanation:
<u>Surface area, 4 faces only, excluding the area of the base:</u>
- A = 4*(1/2*12*20) = 480 m²
<u>Total surface area, including the base:</u>
The answer would be $3.75x < $20 if I'm not wrong
Answer:
y = (2/3)x + 4
Step-by-step explanation:
(Step 1)
Pick two points from the line.
Point 1: (0,4)
Point 2: (-6, 0)
(Step 2)
Use the point-slope formula to calculate the slope(m) of the line. This equation requires the input of the "x" and "y" values from the points.
y₁ - y₂ = m(x₁ - x₂) <----- Point-slope form
4 - y₂ = m(0 - x₂) <---- Plug in "x" and "y" values from Point 1
4 - 0 = m(0 - (-6)) <---- Plug in "x" and "y" values from Point 2
4 = m(6) <---- Simplify left side and parentheses
2/3 = m <---- Divide both sides by 6
(Step 3)
Use the slope-intercept formula to calculate the y-intercept of the line. This equation requires the input of one of the point's "x" and "y" values and the slope.
y = mx + b <---- Slope-intercept form
y = (2/3)x + b <---- Plug (2/3) in for "m"
4 = (2/3)(0) + b <---- Plug in "x" and "y" values from Point 1
4 = b <---- Multiply
(Step 4)
Now you have the necessary values to determine the equation of the graph. Substitute the values for "m" and "b" into the slope-intercept formula to find the final answer.
m = 2/3
b = 4
y = mx + b
y = (2/3)x + 4
Answer:
The translation would be just a change in where the vertex would be.
The change in x value would be that it would go to the left 6. The change in y would be that in would go down 9.
Step-by-step explanation:
To find this use the vertex form base to determine the vertex of either equation. Using this equation, the vertex is always (h, k)
y = a(x - h)^2 + k
y = (x - 5)^2 + 7
VERTEX (5, 7)
y = a(x - h)^2 + k
y = (x + 1)^2 - 2
VERTEX (-1, -2)
Knowing these two, we can see that the x value goes back by 6 and the y value goes down by 9