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Alinara [238K]
3 years ago
13

The length of a rectangle is 5 cm greater than its width. The perimeter is 42 cm. What are the dimensions of the rectangle.

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0

Answer:

length=25  width=17

Step-by-step explanation:

l+w=42

start by guessing a pair of numbers that equals 42 i chose 22+20

since these two numbers are 2 digits apart,

5-2=3

now we have to add 3 to 22 and subtract 3 from 20

now it is 25+17 which still equals 42

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2) write the quotient of each number by the number before & notice the value:

49/70= 0.7
34.3/49 = 0.7
24.01/34.3 =0.7
16.0807/24.01 = 0.67 ≈0.7
You notice this is a geometric progression with r 0.7
The last term in a GP =ar^⁽ⁿ⁻¹⁾


3) Domain and Range of this function:
Last term = a₁.rⁿ⁻¹. let last term be y==> f(n) = y =70(0.7)ⁿ⁻¹
or f(n) = y = 70(0.7)ⁿ / 0.7==> f(n) = [(0.7)ⁿ ]/ 100.
This is a decreasing exponential function where the coefficient
raised to n is < 1.
The domain is for all n>= 0.
When n→∞, f(n)→0; For n=0==>f(n) =70. So the range of f(n) is:<=70

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3 years ago
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Savings accounts are a reliable way to store money for the future. Please select the best answer from the choices provided OT​
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Step-by-step explanation:

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ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -
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Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of B are (-5,-7).

If ABC is reflected across x = 1, then

(x,y)\rightarrow(1-(x-1),y)

(x,y)\rightarrow(2-x,y)

(-5,-7)\rightarrow(2+5,-7)

(-5,-7)\rightarrow(7,-7)

If ABC is reflected across y =-3.

(x,y)\rightarrow(x,-3-(y-(-3)))

(x,y)\rightarrow(x,-6-y)

(7,-7)\rightarrow(7,-6-(-7))

(7,-7)\rightarrow(7,1)

Therefore option C is correct.

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