Answer:
178.3 mm²
Explanation:
The surface area of the regular pyramid is equal to the sum of the base and lateral areas:()
Total capacity = sum of the individual production capacities.
Here,
Total capacity = sum of f(m) = (m + 4)^2 + 100 and g(m) = (m + 12)^2 − 50.
Then f(m) + g(m) = (m + 4)^2 + 100 + (m + 12)^2 − 50.
We must expand the binomial squares in order to combine like terms:
m^2 + 8 m + 16 + 100
+m^2 + 24m + 144 - 50
---------------------------------
Then f(m) + g(m) = 2m^2 + 32m + 160 + 50
f(m) + g(m) = 2m^2 + 32m + 210, where m is the number of
minutes during which the two machines operate.
Answer:
Equations:
<u>Mia: 10 + 10x = y</u>
<u>Julie: 100 - 5x = y</u>
Solved: <u>(6, 70)</u>
Step-by-step explanation:
Mia: 10 + 10x = y
She already has 10 (<u>10</u>) and gains 10 (<u>+10</u>) per day (<u>x</u>). Total is y gained.
Julie: 100 - 5x = y
She already has 100 (<u>100</u>) and loses 5 (<u>-5</u>) per day (<u>x</u>). Total is y gained.
Then I simply solve
10 + 10x = y
100 - 5x = y
Resulting in (6, 70)
Answer:
y + 3 = 10/11(x + 3)
Step-by-step explanation:
Given the points (-3, -3) and (8, 7), we can use these coordinates to solve for the slope of the line using the formula:
Let (x1, y1) = (-3, -3)
(x2, y2) = (8, 7)
Substitute these values into the slope formula:
Thus, slope (m) = 10/11.
Next, using the slope (m) = 10/11, and one of the given points (-3, -3), we'll substitute these values into the point-slope form:
y - y1 = m(x - x1)
Let (x1, y1) = (-3, -3)
m = 10/11
y - y1 = m(x - x1)
y - (-3) = 10/11[x - (-3)]
Simplify:
y + 3 = 10/11(x + 3) this is the point-slope form.
Answer:
1 out of 3
Step-by-step explanation:
