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3 years ago

What is the image of the point (-5, 6) after a rotation of 90°

Mathematics

1 answer:

ycow [4]3 years ago

3 0

Answer:

(-6, -5)

Step-by-step explanation:

rule for 90° counterclockwise about the origin:

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

so:

(-5, 6) => (-6, -5)

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**BRAINLIEST IF ANSWERED*

olga2289 [7]

Answer:

(-5,10)

Step-by-step explanation:

3 0

3 years ago

Find the coordinates of the centroid of triangle RST. SHOW YOUR WORK so I can see if the answer makes sense (no links)

zimovet [89]

Note the coordinates of each point: R(-4, 5), S(5, 1), T(2, -3).

The centroid is the point whose coordinates are the average of the coordinates of R, S, and T.

<em>x</em>-coordinate: (-4 + 5 + 2)/3 = 3/3 = 1

<em>y</em>-coordinate: (5 + 1 - 3)/3 = 3/3 = 1

So the centroid is (1, 1).

3 0

2 years ago

Consider the following hypothesis test: H 0: 20 H a: < 20 A sample of 60 provided a sample mean of 19.5. The population stand

viva [34]

Answer:

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 60

Sample mean, $\bar{x}$ = 19.5

Sample size, n = 60

Alpha, α = 0.05

Population standard deviation, σ = 1.8

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 20\\H_A: \mu < 20$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{19.5 - 20}{\frac{1.8}{\sqrt{60}} } = -2.151$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis. Thus, it be concluded that the population mean is less than 20.

5 0

3 years ago

A very small dinosaur , the microraptor was only 1.3 feet long. one of the largest dinosaures the diplodocus was about 91 feet l

Norma-Jean [14]

A very small dinosaur , the microraptor was only 1.3 feet long. one of the largest dinosaures the diplodocus was about 91 feet long. how many times as long as the microraptor was the diplodocus ? =78 feet

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3 years ago

PLEASE HELP

Mumz [18]

If you use/make a number line, then you will see that the answer is -18 or a. When using a number line, negative = ← and positive = →.

6 0

3 years ago