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Bumek [7]
3 years ago
8

Which is a rule that describes the translation of a point from 4, -8 to 7, -10

Mathematics
2 answers:
Alexxandr [17]3 years ago
4 0

Answer:

\large\boxed{(x,\ y)\to (x+3,\ y-2)}

Step-by-step explanation:

(4,\ -8)\to(7,\ -10)\\\\4\to7\Rightarrow4+3=7\\\\-8\to-10\Rightarrow-8-2=-10\\\\\text{Conclusion}\\\\(x,\ y)\to (x+3,\ y-2)

Advocard [28]3 years ago
3 0

Answer:

first choice: (x, y) ------> (x + 3, y - 2)

Step-by-step explanation:

The x-coordinate started as 4. Then it became 7. To change from 4 to 7, you add 3. The rule for x is to add 3.

The y-coordinate started as -8. Then it became -10. To go from -8 to -10, you subtract 2. The rule for y is to subtract 2.

Look at the choices, and pick the one that adds 3 to x and subtract 2 from y.

The answer is the first choice: (x, y) ------> (x + 3, y - 2)

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A rectangles length is 2 in more than its width. The area of the rectangle is 143 square inches. Find the dimensions of the rect
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Answer: The length is 13 inches and the width is 11 inches.

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the area of a rectangle is expressed as

Area = LW

The area of the rectangle is 143 square inches. This means that

LW = 143 - - - - - - - - - - - - --1

The rectangle's length is 2 in more than its width. This means that

L = W + 2

Substituting L = W + 2 into equation 1, it becomes

W(W + 2) = 143

W² + 2W - 143 = 0

W² + 13W - 11W - 143 = 0

W(W + 13) - 11(W + 13) = 0

W + 13 = 0 or W - 11 = 0

W = - 13 or W = 11

Since the width cannot be negative, it means that W = 11

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3 years ago
Find the value of x and y so that both proportions will be correct:
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The values of x and y are 0.2 and 0.4 respectively.

<em><u>Explanation</u></em>

The given proportions are.....

x: 1\frac{2}{3}=y: 3\frac{1}{3} and y:1.5=0.2:0.75

From the second proportion, we will get....

y:1.5=0.2:0.75\\ \\ \frac{y}{1.5}=\frac{0.2}{0.75} \\ \\ 0.75y=0.2*1.5\\ \\ 0.75y=0.3\\ \\ y=\frac{0.3}{0.75}=0.4

Now, we will plug this y=0.4 into the first proportion. So we will get....

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So, the values of x and y are 0.2 and 0.4 respectively.

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