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Bond [772]
2 years ago
13

After *triangle* ACE is dilated by a factor of 5, It has an area of 100 square inches. What was its area before dilation?

Mathematics
1 answer:
Anarel [89]2 years ago
6 0
<h3>Answer:  4 square inches</h3>

Explanation:

Square the linear scale factor to get 5^2 = 25

This means that,

new area = 25*(old area)

We take this idea in reverse to find the old area

old area = (new area)/25

old area = (100 sq inches)/25

old area = 4 square inches

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Is 3π/9 irrational or rational​
iren2701 [21]

Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

6 0
2 years ago
A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la
Minchanka [31]

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x} ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value (when x = 0)
  • b is the growth/decay factor
  • If k > 1, then it is a growth factor
  • If 0 < k < 1, then it is a decay factor

The table:

→  x    :    f(x)

→ -2    :    16

→ -1     :    8

→  0    :    4

→   1    :    2

→   2   :     1

∵ f(x)=a(b)^{x}

- To find the exponential function substitute the value of x and f(x)

  by some values from the table to find a and b, at first use the

  point (0 , 4) to find the value of a

∵ x = 0 and f(x) = 4

∴ 4=a(b)^{0}

- Remember that any number to the power of zero equal 1

  except the zero

∵ b^{0}=1

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ f(x)=4(b)^{x}

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ 2=4(b)^{1}

∴ 2 = 4 b

- Divide both sides by 4

∴ b=\frac{2}{4}=\frac{1}{2}

- Substitute the value of b in the equation

∴ f(x)=4(\frac{1}{2})^{x}

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x}

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

8 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (6, 6) and (3, 4).
77julia77 [94]

Answer:

The answer is \frac{2}{3}.

Step-by-step explanation:

The formula is supposed to be \frac{y2-y1}{x2-x1} or \frac{y1-y2}{x1-x2}, and if you do the math, the slope should be easy to solve.

8 0
2 years ago
Which property is illustrated by the following statement? If ZXY= FDE, and FDE= CAB, then ZXY=CAB
blagie [28]

Answer:

Transitive property of equality

Step-by-step explanation:

By the definition of transitivity, a relation R is said to be transitive if (a, b) ∈ R and (b, c) ∈ R, then (a, c) ∈ R.

If p = q, q = r then p = r.

Here, we have given that if ZXY = FDE and FDE = CAB, then, ZXY = CAB.

Therefore, it shows the transitive property of equality.

5 0
3 years ago
Read 2 more answers
A garden table and a bench cost $450 combined. The cost of the garden table is two times the cost of the bench. What is the cost
arsen [322]

Answer: The bench is $150 and the garden table is $300

8 0
3 years ago
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