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2 years ago

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What are the coordinates of the point on the directed line segment from (−8,−6) to (-1, 8) that partitions the segment into a ra

tio of 5 to 2?

1 answer:

aivan3 [116]2 years ago

3 0

Answer:

(-3, 4)

Step-by-step explanation:

let the point P(x, y)

x = (5/7 × (-1+8)) + (-8)

= (5/7 × 7) -8 = 5-8 = -3

y = (5/7 × (8+6)) + (-6)

= (5/7 × 14) -6 = 10-6 = 4

so, P => (-3 , 4)

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Select all of the right triangles.

Mariulka [41]

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Step-by-step explanation:

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Triangle XYZ: 1^2 + 1^2 = 2^2 is a false statement, so by the Pythagorean theorem, this is not a right triangle.

Triangle EFG: 8^2 + 15^2 = 17^2 is a true statement, so by the Pythagorean theorem, this is a right triangle.

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2 years ago

The Sugar Sweet Company is going to transport its sugar to market. It will cost

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C=5800+200(S) is a decent equation

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3 years ago

What is the simplified form of the expression? 3/a-9b

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What you must do for this case is to rewrite the expression in a simplified way.
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Answer:
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2 years ago

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A politician estimates that 61% of his constituents will vote for him in the coming election. How many constituents are required

Katyanochek1 [597]

Using the z-distribution, as we are working with a proportion, it is found that 1016 constituents are required.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The estimate is of $\pi = 0.61$ , while the margin of error is of M = 0.03, hence solving for n we find the minimum sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.96\sqrt{\frac{0.61(0.39)}{n}}$

$0.03\sqrt{n} = 1.96\sqrt{0.61(0.39)}$

$\sqrt{n} = \frac{1.96\sqrt{0.61(0.39)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.61(0.39)}}{0.03}\right)^2$

$n = 1015.5$

Rounding up, 1016 constituents are required.

More can be learned about the z-distribution at brainly.com/question/25890103

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1 year ago

Re-write the quadratic function below in Standard Form<br> y =4(x + 5)2 – 3

Alenkasestr [34]

Answer:

I love algebra anyways

The ans is in the picture with the steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

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3 years ago

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