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-BARSIC- [3]
3 years ago
15

The coordinates of a rectangle are (4, 0), (8, 0), (4, 10) and (8, 10). Which transformation results in a reduction in the size

of a rectangle?
A) The rectangle reflects across the y-axis.

B) The rectangle undergoes a dilation by a scale factor of 2.

C) The rectangle translates 3 units to the left and 6 units up.

D) The rectangle undergoes a dilation by a scale factor of 0.5.
Mathematics
2 answers:
Degger [83]3 years ago
9 0

Answer:

D) The rectangle undergoes a dilation by a scale factor of 0.5.

Step-by-step explanation:

A translation is only a slide; it does not change the size of a figure.

A reflection creates a mirror image; it does not change the size of a figure.

A rotation turns a figure; it does not change the size of a figure.

A dilation is a stretch or shrink, which by definition changes the size of a figure.

A dilation by a factor greater than 1 will stretch a figure, and a dilation by a factor less than 1 (but greater than 0) will shrink a figure.  Since we want a reduction in size, we want a shrink; this means out of all of our options, the only correct one is a dilation by a factor of 0.5.

SpyIntel [72]3 years ago
6 0
B is the answer i hope this helps
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6 tablespoons of baking soda

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1.5 * 4 = 6

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What is x what X^(3)=12
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Tell whether the system has one solution, infinitely many solutions, or no solution.
nadya68 [22]
X=-7y+34
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To begin with make the two problems the same kind of problem. By adding 7y on both sides for the first problem.
x+7y=34
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8 0
3 years ago
Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries.
nadya68 [22]

Answer:

29%.

Step-by-step explanation:

We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.

First of all, we will find the weight of tomatoes and raspberries using the given information.

Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.

\frac{80}{100}\times 140=0.80\times 140=112

Since the production, be weight, of raspberries declined by 50 percent, so this year production of raspberries is 50% of 30 pounds.

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Total production this year: 112+30=142 pounds.

Now, we will percent decrease formula.

\text{Percent decrease}=\frac{\text{Initial value-Final value}}{\text{Initial value}}\times 100

\text{Percent decrease}=\frac{(140+60)-142}{140+60}\times 100

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\text{Percent decrease}=0.29\times 100

\text{Percent decrease}=29

Therefore, the total yield, by weight, of Boyd's garden declined by 29%.

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3 years ago
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