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Eva8 [605]
3 years ago
6

The length of a rectangle is 3 times the width. The perimeter is 120 meters Find the length and width.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
4 0

Answer:

10

Step-by-step explanation:

I think that it is 10 because it would have to be a rectangle or square to find the perimeter. So first I divided 120 by 4 and then got 30. Then I divided 30 by 3 and got 10. So, this is why I think it is 10.

120/4 = 30

30/3 = 10

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Answer ASAP
Talja [164]

Answer:

13 and 27

Step-by-step explanation:

y= x+14

x+y=40

x+ x+14=40

2x+14=40

40-14=26

so, 2x=26

26/2

=13

so, x=13 and

and y equal 40-13

y=27

3 0
2 years ago
Exercise 3.5. For each of the following functions determine the inverse image of T = {x ∈ R : 0 ≤ [x^2 − 25}.
masya89 [10]

a. The inverse image of f(x) is f⁻¹(x) = ∛(x/3)

b. The inverse image of g(x) is g^{-1}(x) = e^{x}

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^{-1}(x) = e^{x}

g : R+ → R defined by g(x) = ln(x).

Let g(x) = y

y =  ln(x)

Taking exponents of both sides, we have

e^{y} = e^{lnx} \\e^{y} = x

Replacing x with y, we have

y = e^{x}

Replacing y with g⁻¹(x), we have

So, the inverse image of g(x) is g^{-1}(x) = e^{x}

<h3>Inverse image of h(x)</h3>

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:

brainly.com/question/9028678

5 0
2 years ago
The width of a rectangle is 4ft and the diagonal length of the rectangle is 13ft which measurement is closest to the length of t
lozanna [386]

Answer:

i don't know that on I not sure what the answer

4 0
3 years ago
A courier service charges a $5 pick up fee plus $0.15 per mile the total charge to deliver a package was $7.85 how many miles di
vladimir2022 [97]

Answer:

19 miles

Step-by-step explanation:

7.85-5

285/15=19

7 0
3 years ago
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Answer:

(11y-36 degrees)=63 degrees

Step-by-step explanation:

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