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Ipatiy [6.2K]
3 years ago
7

Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′. Which rule describes thi

s transformation?
Mathematics
1 answer:
mylen [45]3 years ago
5 0

Answer:

The rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

Step-by-step explanation:

To Determine:

Which rule describes this transformation?

Fetching Information and Solution Steps:

As Quadrilateral PQRS was

  • translated 5 units to the right and
  • 3 units up

to create quadrilateral P′Q′R′S′.

In order to determine the rule of this transformation, we need to understand some knowledge about the translation.

  • In geometry, translation is a term that is used to describe a function that moves any figure a certain distance.
  • In translation, every point of the figure or object must be moved for the same distance and in the same direction.

There are some rules when translation is made on the Coordinate Plane. These rules are as follows:

  • If the object is moved left and down, the rule would be (x - __, y - __). Here the blanks are the distances moved along each axis.
  • A rule for a translation right and up (x + __, y + __)
  • A rule for a translation right and down (x + __, y - __)
  • A rule for a translation left and up: (x - __, y + __)

As Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P′Q′R′S′.

Therefore, we can conclude that the rule '' A rule for a translation right and up (x + __, y + __) '' describes this transformation.

Keywords: transformation  rule, translation

Learn more about transformation from brainly.com/question/8431820

#learnwithBrainly

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The population of a community, p(x), is modeled by this exponential function, where x represents the number of years since the p
NeX [460]

An exponential model is used to represent growth of a population

The population after 3 years is 2585

The function is given as:

\mathbf{P(x) = 2400(1.025)^x}

<em>3 years after</em>, means that x = 3

So, we have:

\mathbf{P(3) = 2400(1.025)^3}

Evaluate exponents

\mathbf{P(3) = 2400 \times 1.076890625}

\mathbf{P(3) = 2584.5375}

Approximate

\mathbf{P(3) = 2585}

Hence, the population after 3 years is 2585

Read more about population growth at:

brainly.com/question/3160736

5 0
3 years ago
Need step-by-step. Please answer correctly. This determines what grade I get. I will mark brainliest to the first person who ans
tatyana61 [14]

Answer:

  3√3

Step-by-step explanation:

For the problem shown here, your answer 3√3 is correct.

When there is a radical by itself in the denominator, you multiply numerator and denominator by a radical that results in the product being rational. For a square root, that will usually be the same square root:

  \dfrac{9}{\sqrt{3}}=\dfrac{9}{\sqrt{3}}\cdot\dfrac{\sqrt{3}}{\sqrt{3}}=\dfrac{9\sqrt{3}}{3}=\boxed{3\sqrt{3}}

__

If the problem has a sum in the denominator involving a square root, then you multiply numerator and denominator by the conjugate of that sum (the sum with the sign changed). This uses the special product "difference of squares" to eliminate the radical term.

<u>Example</u>:

  \dfrac{9}{2-\sqrt{3}}=\dfrac{9}{2-\sqrt{3}}\cdot\dfrac{2+\sqrt{3}}{2+\sqrt{3}}=\dfrac{9(2+\sqrt{3})}{2^2-(\sqrt{3})^2}=\dfrac{18+9\sqrt{3}}{4-3}\\\\=\boxed{18+9\sqrt{3}}

__

It is easy to demonstrate that none of the offered choices for this problem has the same value as 9/√3.

9/√3 ≈ 5.196. Offered choices have values of about 4.798, 1.732, 6.681, 23.196 -- none even close.

Please discuss this question with your teacher.

3 0
2 years ago
Find the value of x..
shepuryov [24]

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

3 0
2 years ago
Read 2 more answers
What is f(g(x)) if f(x)= 4x²+3x-4 and g(x)=2x​
Yuri [45]
I don’t know sorry I just need the points
5 0
2 years ago
I need help pls help
Andreyy89

Answer:

[?] = 4

(the complete term is 4\frac{1}{2}\ \text{cups})

Step-by-step explanation:

8\ \text{cups} - 1\frac{1}{3}\ \text{cups} - 2\frac{1}{6}\ \text{cups} = (8-1-2)\ \text{cups} +  \frac{-\frac{6}{3} - 1}{6}\ \text{cups} = 5\ \text{cups} + \frac{-3}{6}\ \text{cups} = 5\ \text{cups} + \frac{-1}{2}\ \text{cups} = 4\ \text{cups} + \frac{2 - 1}{2}\ \text{cups}

7 0
2 years ago
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