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ElenaW [278]
3 years ago
13

What is the midpoint between (3, -1) and (7, -5)? Group of answer choices

Mathematics
1 answer:
Hatshy [7]3 years ago
6 0

Answer:

The answer is

<h2>( 5 , - 3)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3, -1) and (7, -5)

The midpoint is

M = ( \frac{3 + 7}{2}  , \:  \frac{ - 1 - 5}{2} ) \\  = ( \frac{10}{2}  \: , \:  -  \frac{6}{2} )

We have the final answer as

<h3>( 5 , - 3)</h3>

Hope this helps you

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Aleks04 [339]

Answer:

\large\boxed{x=-\dfrac{\pi}{4}+k\pi\ \text{or}\ x=k\pi\ \text{for}\ k\in\mathbb{Z}}

Step-by-step explanation:

2\cos\left(2x+\dfrac{\pi}{4}\right)=\sqrt2\qquad\text{divide both sides by 2}\\\\\cos\left(2x+\dfrac{\pi}{4}\right)=\dfrac{\sqrt2}{2}\to2x+\dfrac{\pi}{4}=\pm\dfrac{\pi}{4}+2k\pi\\\\2x+\dfrac{\pi}{4}=-\dfrac{\pi}{4}+2k\pi\ \vee\ 2x+\dfrac{\pi}{4}=\dfrac{\pi}{4}+2k\pi\qquad\text{subtract}\ \dfrac{\pi}{4}\ \text{from all sides}\\\\2x=-\dfrac{2\pi}{4}+2k\pi\ \vee\ 2x=2k\pi\qquad\text{divide all sides by 2}\\\\x=-\dfrac{\pi}{4}+k\pi\ \vee\ x=k\pi\ \text{for}\ k\in\mathbb{Z}

5 0
4 years ago
A city survey of two neighborhoods asked residents whether they would
loris [4]

Using the proportions given in the table, it is found that the percentage of the Northlake residents surveyed that want a new dog park is:

B. About 58%.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Multiplying a proportion by 100%, a percentage is found.

Looking at the table, 25% are Northlake residents(which is 43% of the surveyed) who want a new dog park, hence the percentage is given by:

p = 25/43 x 100% = 58%.

Hence option B is correct.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

4 0
2 years ago
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Katyanochek1 [597]

Answer:

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Step-by-step explanation:

just because whsusjeej

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3 years ago
What is a real life example of trigonometric ratios
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Answer:

Trigonometry can be used to measure the height of a building or mountains

Step-by-step explanation:

if you know the distance from where you observe the building and the angle of elevation you can easily find the height of the building. Similarly, if you have the value of one side and the angle of depression from the top of the building you can find and another side in the triangle, all you need to know is one side and angle of the triangle.

3 0
3 years ago
Simplificando a expressão (3x^2 + 5x - 2) + (x^2 - 2x - 1) , vamos obter :
Artist 52 [7]
You have to add all the common terms together.

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4 years ago
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