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ratelena [41]
3 years ago
10

given the midpoint of segment KL is M(-1,1) and L id (8,-7). what are the coordinates of the endpoint K

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

Step-by-step explanation:

The answer is (-6, 5) for K.

In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Kx + Lx)/2 = Mx

(Kx + 8)/2 = 1

Kx + 8 = 2

Kx = -6

And now we do the same thing for y values

(Ky + Ly)/2 = My

(Ky + -7)/2 = -1

Ky + -7 = -2

Ky = 5

This gives us the final point of (-6, 5)

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Your realized income is $36,864.00/yr. Your fixed and housing expenses are 32% and your savings are 15% of your realized income
andriy [413]

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings.  Since there are 12 months in a year, your monthly income is $3072.  Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%.  The remaining percentage of your income would be considered discretionary, which would account for 53%.  To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.  

6 0
3 years ago
calculate the means and the standard deviation of the following set of data 4.578g, 4.581g, 4.572g, 4.573g, 4.601g, 4.577g. stat
AfilCa [17]

Answer:

68% Confidence interval  = [4.5752, 4.5848]

95% Confidence interval  = [4.5688, 4.5918]

Step-by-step explanation:

Sample mean (X) = 4.580

Sample Standard Deviation (S) = 0.01065

Sample size (n) = 6

T_{(5)} for alpha/2 0.84 = 1.1037

T_{(5)} for alpha/2 0.975 = 2.5706

68% Confidence interval = [x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)]\frac{S}{\sqrt{n}}] = [4.5752, 4.5848]

95% Confidence interval = [x-T_{(5)}\frac{S}{\sqrt{n}}, x+T_{(5)}\frac{S}{\sqrt{n}}] = [4.5688, 4.5918]

7 0
3 years ago
Brainliest please help!
Dmitriy789 [7]

Answer:

120

Step-by-step explanation:

6 x 6 = 36

6 x 7 = 42

42/2 = 21

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4 0
3 years ago
An apartment cost $875 per month to rent the owner raises the price by 20% and then gives a discount of 8% to renters who signed
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Answer: $84

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7 0
3 years ago
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Whats 1 + 1? I NEED HELP IM IN COLLEGE
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Oh god this one got me too it’s 2
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