What is the greatest perimeter of a rectangle with an area of 39 ft.²
1 answer:
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Answer:
The perimeter is 38.25 units
Step-by-step explanation:
The perimeter of the tra-pezoid is the distance around it.
The length of the bases can be found using the absolute value method.
|RS|=|20-14|=6 units.
|TQ|=|22-8|=14
Recall the distance formula;
We use the distance to find the non parallel sides.
units.
and
units.
The perimeter of the tra-pezoid is
=14+10+6+8.25=38.25
Answer:
d
Step-by-step explanation:
if I divide the units of the scaled rectangle by the original you will get
a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)
b. The inverse image of g(x) is
c. The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9
<h3 /><h3>The domain of T</h3>Since T = {x ∈ R : 0 ≤ [x^2 − 25} ⇒ x² - 25 ≥ 0
⇒ x² ≥ 25
⇒ x ≥ ±5
⇒ -5 ≤ x ≤ 5.
<h3>Inverse image of f(x)</h3>
The inverse image of f(x) is f⁻¹(x) = ∛(x/3)
f : R → R defined by f(x) = 3x³
Let f(x) = y.
So, y = 3x³
Dividing through by 3, we have
y/3 = x³
Taking cube root of both sides, we have
x = ∛(y/3)
Replacing y with x we have
y = ∛(x/3)
Replacing y with f⁻¹(x), we have
So, the inverse image of f(x) is f⁻¹(x) = ∛(x/3)
<h3>Inverse image of g(x)</h3>
The inverse image of g(x) is
g : R+ → R defined by g(x) = ln(x).
Let g(x) = y
y = ln(x)
Taking exponents of both sides, we have
Replacing x with y, we have
Replacing y with g⁻¹(x), we have
So, the inverse image of g(x) is
The inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9
h : R → R defined by h(x) = x − 9
Let y = h(x)
y = x - 9
Adding 9 to both sides, we have
y + 9 = x
Replacing x with y, we have
x + 9 = y
Replacing y with h⁻¹(x), we have
So, the inverse image of <u>h</u>(x) is h⁻¹(x) = x + 9
Learn more about inverse image of a function here:
Answer:
Given:
5 pounds rice cost $2.49
To Find:
Cost of 9 pounds rice
Step-by-step explanation:
5 pounds rice cost $2.49
1 pound rice will cost $
So,
9 pounds rice cost = 1 pound rice cost × 9
= $
= $0.498 × 9
= $4.482