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Zina [86]
4 years ago
6

Use the Polygon tool to draw the image of the given quadrilateral under a dilation with a scale factor of 34 and center of dilat

ion ​ (0, 0) ​.

Mathematics
1 answer:
Margarita [4]4 years ago
4 0

Answer:

See attached diagram

Step-by-step explanation:

Given quadrilateral has vertices at points A(-8,4), B(4,-4), C(0,-8) and D(-4,-4).

A dilation with a scale factor of \dfrac{3}{4} and a center of dilation (0,0) has a rule

(x,y)\mapsto \left(\dfrac{3}{4}x,\dfrac{3}{4}y\right).

Then

  • A(-8,4)→E(-6,3);
  • B(4,-4)→F(3,-3);
  • C(0,-8)→G(0,-6);
  • D(-4,-4)→H(-3,-3).

See attached diagram for details.

Remark: If a scale factor is 34, then the rule is (x,y)→(34x,34y) and image vertices have coordinates (-272,136), (136,-136), (0,-272), (-136,-136).

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Sergio [31]
The first step for solving this is to cancel equal terms on both sides of the inequality.
- \frac{x}{2} < 0
Now multiply both sides of the inequality by -2 and flip the inequality sign.
-2 × (- \frac{x}{2}) > -2 × 0
Remember that multiplying two negatives together always equals a positive,, so the expression changes to the following:
2 × \frac{x}{2} > -2 × 0
Reduce the numbers with 2.
x > -2 × 0
Any expression multiplied by 0 equals 0,, so the correct answer to your question will be:
x > 0
Let me know if you have any further questions.
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8 0
4 years ago
A team of dermatological researchers were studying skin cancer among 60-70 year old American men. Suppose you were a part of the
Lostsunrise [7]

Answer:

The correct answer is Option A.) The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.

Step-by-step explanation:

The standard deviation of the distribution of sample means is less than the population standard deviation of the number of cancer spots.

3 0
3 years ago
Esther cut a square paper vertically to make two rectangle pieces. Each rectangle had a perimeter of 63 inches.
Studentka2010 [4]

Answer:

Side of the square paper = 21 inches

Step-by-step explanation:

Let the square paper is having measure of each side = a inches

Esther cut this square piece into two pieces.

Let the other side of one rectangle piece = x inches

Perimeter of this piece = 2(a + x) inches

Similarly dimensions of the other rectangular piece will be = a inches × (a - x) inches

Perimeter of this piece = 2[a + (a - x)]

Since both the rectangular pieces have the same perimeter = 63

So, 2(a + x) = 2[a + (a - x)] = 63

2(a + x) = 2(2x - x)

a + x = 2a - x

2a - a = 2x

a = 2x

x = \frac{a}{2}

Therefore, Perimeter = 2(a + x) = 2(a + \frac{a}{2}) = 63

2\times \frac{3a}{2} = 63

3a = 63

a = 21

Therefore, measure of the sides of the square is 21 inches.

5 0
3 years ago
The costs of different weights of onions sold at a grocery store are shown in the table
lana66690 [7]

Answer:

<h2>Independent variable: Weight of Onions.</h2><h2>Dependent variable: Total Cost.</h2>

Step-by-step explanation:

The given table is about the weight of onions in pounds and the total cost.

If you think this through, you would notice that the total cost depends on the number of pounds of onions. That means the independent variable is Weight of Onions and the dependent variable is the Total Cost.

So, to put it in a sentence: The weight of onions determines the total cost.

8 0
3 years ago
Read 2 more answers
Is the area of the shaded rectangle 6(2−m) or 6(m−2)?<br>Explain how you know.
Rzqust [24]

Answer:

6(2-m)

Step-by-step explanation:

the m could not be times only two so the answer would have been 12-m no matter what you don't add or subtract or times the letter because unless if the number had the same letter!

Hope this helps!! if it doesnt i apalogize!! god bless!! - Natalia

6 0
3 years ago
Read 2 more answers
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