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2 years ago

The parallelogram is reflected across the line y = x. Which of the following are coordinates of a vertex of the image?

Mathematics

2 answers:

Korvikt [17]2 years ago

8 0

Answer:

$A'(1,-5)$

Step-by-step explanation:

The coordinates of the given quadrilaterals are

$A(-5,1),B(-4,3),C(-2,1),D(-3,-1)$

The reflection in the line $y=x$ has the mapping,

$(x,y)\rightarrow(y,x)$

We just have to swap the coordinates.

This implies that,

$A(-5,1)\rightarrow A'(1,-5)$

$B(-4,3)\rightarrow B'(3,-4)$

$C(-2,1)\rightarrow C'(1,-2)$

$D(-3,-1)\rightarrow D'(-1,-3)$

Therefore the correct answer is A.

$A'(1,-5)$

zhenek [66]2 years ago

7 0

Answer:

A'(1,-5) on odyssey

Step-by-step explanation:

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GenaCL600 [577]

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2 years ago

At the bike shop x, it cost $2.75 per hour plus a $3.00 deposit to rent a bike.AT Bike shop z cost $1.75 per hour plus a $7.00 d

Alex_Xolod [135]

Multiply the rate per hour by the number of hours (n) and add the deposit.

Bike shop x: c = 2.75n + 3.00

Bike shop z: c = 1.75n + 7.00

B) to find when they will cost the same set the equations equal to each other and solve for n:

2.75n + 3.00 = 1.75n + 7.00

Subtract 3 from each side:

2.75n = 1.75n + 4.00

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2 years ago

8 is 16% of what?<br> Complete the sentence

zalisa [80]

Answer:

Step-by-step explanation:

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3 0

1 year ago

X and Y are independent random variables. X is normally distributed with mean 1 and variance 1. Y is normally distributed with m

g100num [7]

Answer:

Step-by-step explanation:

Equation of variance:

Total Variance = sum (i=1, N) {c^2,variance^2}

= c1^2*variance1^2 + c2^2*variance2^2 + .....

Variance of X = 1

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Variance of Y - 2X = (1^2)*(5) - (2^2)**(1)

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8 0

2 years ago

Of 136 randomly selected adults, 33 were found to have high blood pressure. Construct a 95% confidence interval for the true of

navik [9.2K]

Answer:

The 95% confidence interval of the proportion of all adults that have high blood pressure is 0.17059 < $\hat{p}$ < 0.314695

Step-by-step explanation:

The confidence interval for a proportion is given by the following formula;

$CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

Where:

x = 33

n = 136

$\hat{p}$ = x/n = 33/136 = 0.243

z value for 95% confidence is 1.96

Plugging in the values, we have;

$CI=0.243\pm 1.96\times \sqrt{\frac{0.243(1-0.243)}{136}}$

Which gives;

0.17059 < $\hat{p}$ < 0.314695

Hence the 95% confidence interval of the proportion of all adults that have high blood pressure = 0.17059 < $\hat{p}$ < 0.314695

From the above we have;

23.2 < x < 42.798

Since we are dealing with people, we round down as follows;

23 < x < 42.

4 0

2 years ago