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3 years ago

A segment with endpoints (5,8) and (-6,8) is rotated around the origin. How long will the new segment be?

1 answer:

5 0

The segment was only rotated, not changed. It would be the same length as the original.

To find the length, use the distance formula.

$\sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} }$
(5, 8) would be point 1.

(-6,8) would be point 2.

Plug them into the formula.

$\sqrt{( { - 6 - 5)}^{2} + ( {8 - 8)}^{2} }$
Simplify.

$\sqrt{( { - 11)}^{2} + ( {0)}^{2} }$
$\sqrt{121 + 0}$
$\sqrt{121}$
Square root this answer.
$\sqrt{121} = + or - 11$
Negative distances aren't possible, so your answer is 11.

Hope this helped!

:)

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Will give brainliest & five stars!!

Arisa [49]

Answer:

5.498 - C

Step-by-step explanation:

Length of an arc = tetha/360 × 2 × pi × r

Converting 7pi/4 to tetha

(7 × 180) / 4 = 315°, since pi = 180°

Plugging values to the formula:

315/360 × 2 × 3.142 × 1 = 5.498units

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2 years ago

A rectangle has an area of x^2 -6x -7 and a width of x-7 what’s the length

iogann1982 [59]

Answer:

x+1

Step-by-step explanation:

We know that x^2 -6x-7 is the product of two binomials.

We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.

Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.

Using this information, we can identify the other number is 1, so the length is x+1.

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2 years ago

Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to

Ratling [72]

Answer: point estimate = 3.88

Margin of error = 0.63

Step-by-step explanation:

Confidence interval is written in the form,

(Point estimate - margin of error, Point estimate + margin of error)

The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that

x - m = 3.25

x + m = 4.51

Adding both equations, it becomes

2x = 7.76

x = 7.76/2

x = 3.88

Substituting x = 3.88 into x + m = 4.51, it becomes

3.88 + m = 4.51

m = 4.51 - 3.88

m = 0.63

8 0

2 years ago

How can csc^2-cot^2 = 1?

Softa [21]

ANSWER

By simplifying the left hand side using the Pythagorean Identity.

EXPLANATION

The given identity is

$\csc^{2} (x) - \cot^{2} (x) = 1$

Take the left hand side and simplify to get the right hand side.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1}{\sin^{2} (x)} - \frac{ \cos^{2} (x)}{\sin^{2} (x)}$

Collect LCM for the denominators.

$\csc^{2} (x) - \cot^{2} (x) = \frac{1 - \cos^{2} (x)}{\sin^{2} (x)}$

Recall the Pythagorean Identity.

$\cos^{2} (x) + \sin^{2} (x) = 1$

This implies that:

$1 - \cos^{2} (x) = \sin^{2} (x)$

We substitute this to get,

$\csc^{2} (x) - \cot^{2} (x) = \frac{\sin^{2} (x)}{\sin^{2} (x)}$

$\csc^{2} (x) - \cot^{2} (x) = 1$

6 0

2 years ago

Someone help me ASAP!!!! I need this ASAP!!!!

qwelly [4]

So to solve it the equation is a squared plus b squared = c squared. So you square a and b. Then do the square root of that and should get c. C is always the largest side. C is opposite from a 90 degree angle . Hope this helps you answer your question.

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2 years ago