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Contact [7]
3 years ago
6

Find the length of AB if AC = 18 and BC = 7.

Mathematics
1 answer:
navik [9.2K]3 years ago
5 0
I’m going to guess the the line is AC and B is the midpoint, if this is what ur asking this is ur answer
18-7
Answer
AB=11
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Calculate the slope of each segment (just need a couple example problems and step by step, no need to answer all. Will mark brai
Tpy6a [65]

Answer:

12) Line segment AB

m_{AB} = \frac{7-4}{10-4}= \frac{1}{2}

13) Line segment CD

m_{CD} = \frac{6-11}{15-13}=-\frac{5}{2}

14) Line segment EF

m_{EF} = \frac{7-11}{4-3}= -4

15) Line segment GH

m_{GH} = \frac{5-2}{8-6}= \frac{3}{2}

16) Line segment IJ

m_{IJ} = \frac{0-(-6)}{0-4}=-\frac{3}{2}

17) Line segment KL

m_{KL} = \frac{-2-(-3)}{5-(-2)} = \frac{1}{7}

18) Line segment MN

m_{MN} = \frac{5-5}{3-(-4)} = 0

19) Line segment OP

m_{OP} = \frac{4-(-2)}{13-13} = \frac{1}{0}

20) Line segment QR

m_{QR} = \frac{7-11}{-2-(-7)} = -\frac{4}{5}

21) Line segment ST

m_{ST} = \frac{-2-(-3)}{10-9} = 1

Step-by-step explanation:

Coordinates are now described: A(x,y) = (4,4), B(x,y) = (10, 7), I(x,y) = (-6, 4), J(x,y) = (0,0), Q(x,y) = (-7,11), R(x,y) = (-2,7), C(x,y) = (13,11), D(x,y) = (15, 6), K(x,y) = (-2, -3), L(x,y) = (5,-2), S(x,y) = (9,-3), T(x,y) = (10, -2), E(x,y) = (3, 11), F(x,y) = (4,7), M(x,y) = (-4,5), N(x,y) = (3, 5), G(x,y) = (6,2), H(x,y) = (8,5), O(x,y) = (13,-2), P(x,y) = (13,4)

The slope of each line segment is calculated by applying definition of secant line:

12) Line segment AB

m_{AB} = \frac{7-4}{10-4}= \frac{1}{2}

13) Line segment CD

m_{CD} = \frac{6-11}{15-13}=-\frac{5}{2}

14) Line segment EF

m_{EF} = \frac{7-11}{4-3}= -4

15) Line segment GH

m_{GH} = \frac{5-2}{8-6}= \frac{3}{2}

16) Line segment IJ

m_{IJ} = \frac{0-(-6)}{0-4}=-\frac{3}{2}

17) Line segment KL

m_{KL} = \frac{-2-(-3)}{5-(-2)} = \frac{1}{7}

18) Line segment MN

m_{MN} = \frac{5-5}{3-(-4)} = 0

19) Line segment OP

m_{OP} = \frac{4-(-2)}{13-13} = \frac{1}{0}

20) Line segment QR

m_{QR} = \frac{7-11}{-2-(-7)} = -\frac{4}{5}

21) Line segment ST

m_{ST} = \frac{-2-(-3)}{10-9} = 1

8 0
3 years ago
Whats the vertex at of y-13=2(x+4)^2
Kipish [7]
The vertex form:
y=a(x-h)^2+k
(h,k) - the coordinates of the vertex

y-13=2(x+4)^2 \\
y=2(x+4)^2+13 \\
y=2(x-(-4))^2+13 \\ \\
h=-4 \\ k=13

The coordinates of the vertex are (-4,13).
7 0
3 years ago
Read 2 more answers
The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.
valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.85}{2} = 0.075

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.075 = 0.925, so Z = 1.44.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that \sigma = \sqrt{1.69} = 1.3

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

M = z\frac{\sigma}{\sqrt{n}}

0.14 = 1.44\frac{1.3}{\sqrt{n}}

0.14\sqrt{n} = 1.44*1.3

\sqrt{n} = \frac{1.44*1.3}{0.14}

(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2

n = 178.8

Rounding up

A sample of 179 is needed.

7 0
3 years ago
What is the inverse of y=(x-6)^2 +2 ?
drek231 [11]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
4
Scilla [17]

Answer:

Step-by-step explanation:

3 0
3 years ago
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