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fredd [130]
2 years ago
9

* One endpoint of a line segment has coordinates represented by (x + 2, 5y): The midpoint of the line segment is (6, –3).

Mathematics
1 answer:
kirill [66]2 years ago
3 0

Answer:

m =  \frac{y2 - y1}{x2 - x1}  \\  =   \frac{ - 3 - 5y}{6 - (x + 2)}  \\  =  \frac{ - 3 - 5y}{6 - x - 2}  \\  m = \frac{ - 3 - 5y}{4 - x}

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WORTH ALL MY POINTS PLEASE HELP
kari74 [83]

9514 1404 393

Answer:

  (a)  = 7 +3·5

Step-by-step explanation:

The given expression evaluates to ...

  6 +2^4 = 6 +16 = 22

The offered choices evaluate to ...

  7 +3·5 = 7 +15 = 22

  4·10^3 +96 = 4·1000 +96 = 4096

  7^2 = 49

  3·10 +2 = 30 +2 = 32

The only choice that will form a proper equation is the expression that evaluates to 22:

  6 +2^4 = 7 +3·5

4 0
2 years ago
The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
VMariaS [17]

Answer:

He must survey 123 adults.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

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

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

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

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

6 0
3 years ago
Need help pls help me will mark first
Xelga [282]

Answer:

angles 5,6 are supplementary

angles 7 and 4 are vertical angles

(one solution of many)

Step-by-step explanation:

Lets start with supplementary angles. those are two angles that add up to 180 degrees or make a straight angle. Two angles that fulfill this statement are 5 and 6 because 5 and 6 make a straight angle.

Now lets do vertical angles. Vertical angles are angles that are opposite of each. They are made by intersecting diagonals. One pair of angles that fulfill this are angles 7 and 4. if you can tell, they are opposite of each other.

supplementary= 5 and 6

vertical= 7 and 4

have a wonderful day!

4 0
2 years ago
Read 2 more answers
(simplify the expression) 2x7b
Lapatulllka [165]

Answer:

14b

Step-by-step explanation:

2×7=14

Just put the "b" after 14

5 0
3 years ago
Suki gets a job that pays $31000 per year. she is promised a $2200 raise each year. at this rate, what will her salary be in 7 y
kiruha [24]
$232400 Money earned in the next 7 years.

Money earned per year:

$33200 = 1st year

$35400 = 2nd year

$37600 = 3rd year

$39800 = 4th year

$42000 = 5th year

$44200 = 6th year

$46400 = 7th year
5 0
3 years ago
Read 2 more answers
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