<span>A
ladder is leaned against a building. the bottom of the ladder is 11
feet from the building. the top of the ladder is 19 feet above the
ground.
a. what is the slope of the ladder?
slope = rise / run = height / base = 19 feet / 11 feet = 19 /11
b. what does the slope of the ladder mean in the real world?
The slope is the inclination of the ladder. The higher the slope the more leaned is the ladder.
c. if the ladder were set closer to the building, would it be harder or
easier to climb? explain in terms of the slope of the ladder.
if the ladder were closer to the building the base would be lower and the heigth would be higher, so the slope would be higher, which means that the ladder would be steeper, therefore harder to climb.
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Answer:
<h2>ok so basicly its 50000000000</h2>
Step-by-step explanation:
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Answer:
y" = -24 / y³
Step-by-step explanation:
6x² + y² = 4
Take the derivative of both sides with respect to x.
12x + 2y y' = 0
Again, take the derivative of both sides with respect to x.
12 + 2y y" + y' (2y') = 0
12 + 2y y" + 2(y')² = 0
Solve for y' in the first equation.
2y y' = -12x
y' = -6x/y
Substitute and solve for y":
12 + 2y y" + 2(-6x/y)² = 0
12 + 2y y" + 2(36x²/y²) = 0
12 + 2y y" + 72x²/y² = 0
6y² + y³ y" + 36x² = 0
y³ y" = -36x² − 6y²
y" = (-36x² − 6y²) / y³
Solve for y² in the original equation and substitute:
y² = 4 − 6x²
y" = (-36x² − 6(4 − 6x²)) / y³
y" = (-36x² − 24 + 36x²) / y³
y" = -24 / y³
Answer:
x = 2, y = 3
Step-by-step explanation:
x + y = 5
Shift y to the other side and change to (-y).
x = 5 - y --- Equation 1
x - 2y = -4 --- Equation 2
Substitute x = 5 - y into Equation 2:
x - 2y = -4
5 - y - 2y = -4
Shift 5 to the other side and change to (-5).
-y - 2y = -4 - 5
Evaluate like terms.
-3y = -9
Divide both sides by -3.
y = -9 ÷ -3
y = 3
Substitute y = 3 into Equation 1:
x = 5 - y
x = 5 - 3
x = 2
Answer:
B.
Step-by-step explanation:
Let w represent the number of weeks.
We have been given that a wrestler currently weighs 189 pounds and is losing 0.5 of a pound per week. So the weight lost by wrestler in w weeks would be .
The total weight of wrestler after w weeks would be:
We are also told that the wrestler needs to weigh more than 165 pounds but less than or equal to 185 pounds. This means that total weight of wrestler should be less than or equal to 185 pounds and greater than 165 pounds.
We can represent this information in an inequality as:
Therefore, option B is the correct choice.