Answer:
f(x)= (x^2 - 63) + 76
Step-by-step explanation:
Answer:

Step-by-step explanation:
The ladder, ground, and building form a right triangle where the vertical distance between the top of the ladder and the bottom of the ground is one leg, the horizontal distance between the bottom of the ladder and the building is another leg, and the length of the ladder is the hypotenuse.
For any right triangle, the Pythagorean Theorem states that the sum of the squares of both legs is equal to the hypotenuse squared (
), where
is the hypotenuse.
Let the length of the ladder be
(hypotenuse of right triangle). The distance between the top of the ladder and the ground (vertical distance) can be represented as
.
From the Pythagorean Theorem, we then have:

Expand using
:

Subtract
from both sides and add
to both sides:

Combine like terms:

Divide both sides by 2:

Therefore, the length of the ladder is 25 feet.
Answer:
The space between the plants is approximately 1.26ft
Step-by-step explanation:
Given
Circular Garden
Number of plants = 20
Diameter of garden = 8ft
First, the circumference of the garden needs to be calculated; This is so because the plants that will be placed at the edge of the garden will occupy the circumference of the circle.
Calculating the circumference....
Circumference = 2πr
Where r = radius
r = ½ * diameter.
r = ½ * 8ft
r = 4ft
So,
Circumference = 2π * 4
Circumference = 8π ft
Given that the plants will be spaced evenly.
The distance between them = Circumference ÷ Number of plants
Distance = 8π/20
Distance = 0.4π ft.
Solving further to get actual distance (take π as 22/7)
Distance = 0.4 * 22/7
Distance = 8.8/7
Distance = 1.2571428571 ft
Distance = 1.26ft (Approximated)
Hence, the space between the plants is approximately 1.26ft
Answer:
1/2 x 4/5
Step-by-step explanation:
Step 1. Multiply the numerators:
1/12 × 4/5 = 4 x 1 = 4
Step 2. Multiply the denominators:
5 x 12 = 60
Step 3. Simplify the fraction:
4/60 = 1/15
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The answer is c 75
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