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3 years ago

What are the coordinates of R’, the image of R(-4,3) after a reflection in the line y=x?

Mathematics

1 answer:

navik [9.2K]3 years ago

6 0

Answer:

R'(3,-4)

Step-by-step explanation:

we know that

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places

The rule of the reflection across the line y=x is equal to

(x,y) ------> (y,x)

we have

R(-4,3) ------> R'(3,-4)

You might be interested in

What is 75 minutes to ten hours in ratio and simplest form

Arada [10]

Answer:

1:8

Step-by-step explanation:

75min/10hr

10*60=600

75/600

1/8

7 0

3 years ago

From the observation deck of a skyscraper, Madison measures a 67^{\circ} ∘ angle of depression to a ship in the harbor below. If

mrs_skeptik [129]

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

<h3>What is trigonometric ratio?</h3>

Trigonometric ratio is used to show the relationship between the sides and angles of right angled triangle.

Let d represent the horizontal distance from the base of the skyscraper out to the ship. Since the angle of depression is 67°, hence:

Angle = 90 - 67 = 23°

Using trig ratio:

tan(23) = d/1143

d = 485.2 feet

The horizontal distance from the base of the skyscraper out to the ship is 485.2 feet.

Find out more on trigonometric ratio at: brainly.com/question/24349828

5 0

2 years ago

5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

We use one-tailed(right) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

3 years ago

Help I need to get this

Mariulka [41]

Which of the following is NOT discussed in this excerpt?

One can follow certain steps to learn to improve the quality of one’s life.

Men are too easily lured by monetary gain.

Authors have not addressed how humankind should earn a living through their literature.

8 0

2 years ago

Hello! i need 2 people to answer this question whoever is correct gets brainiest, if both are correct then ill go by whoever ans

mojhsa [17]

Answer:

-10b - 7

Step-by-step explanation:

-11b - 4

- (-b + 3)

-----------------

-10b - 7

6 0

3 years ago

Read 2 more answers