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slamgirl [31]
4 years ago
13

Find the slope of the line that passes through each pair of points.

Mathematics
1 answer:
ICE Princess25 [194]4 years ago
7 0
Answer: 4/7
This is a fraction

---------------------------------------------------

The two points are (x1,y1) = (2,3) and (x2,y2) = (9,7)

Which breaks down to these four facts
x1=2
y1=3
x2=9
y2=7

Plug those values into the slope formula below and simplify
m = (y2 - y1)/(x2 - x1)
m = (7 - 3)/(9 - 2)
m = 4/7

The slope is 4/7

Side Note: slope = rise/run = 4/7 so rise = 4 and run = 7. Meaning that each time we go up 4, we also go to the right 7

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Can the polynomial below be factored into a perfect square? If not, select the answer that best describes why not.
pickupchik [31]

Answer:

C. It cannot be factored into a perfect square.

Step-by-step explanation:

Take the square roots of all the numbers present (64, 49, 8) and you will find that 8, the constant, is not a perfect square.

8 0
3 years ago
Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals
Alekssandra [29.7K]

Answer:

(0.767,0.833)

Step-by-step explanation:

The 95% confidence interval for population proportion p can be computed as

p-z_{\frac{\alpha }{2} } \sqrt{\frac{pq}{n} }

The z-value associated with 95% confidence level is 1.96.

whereas p=x/n

We are given that x=440 and n=550.

p=440/550=0.8

0.8-1.96\sqrt{\frac{0.8(0.2)}{550} }

0.8-1.96\sqrt{\frac{0.16}{550} }

0.8-1.96\sqrt{0.00029 }

0.8-1.96(0.01706)

0.8-0.03343

0.76657

Thus, the required confidence interval is

0.767<P<0.833  (rounded to 3 decimal places)

Hence, we are 95% confident that our true population proportion will lie in the interval (0.767,0.833)

3 0
3 years ago
Find the value of c such that y= x + c is a tangent to the parabola y = x squared - x - 12
Bond [772]

Answer:

c = –13

Step-by-step explanation:

by property of tangent line, equation

x² – x – 12 = x + c

x² – 2x – 12 – c = 0

has only one solution, which mean

– 12 – c = 1

c = –13

5 0
4 years ago
Miguel is painting a cabinet shaped like a rectangular prism. He is going to paint all of the exterior sides except the top and
Oksana_A [137]

Answer:

40ft

Step-by-step explanation:

Please kindly see the attached file for more explanation

8 0
4 years ago
Liam bought 35 feet of window trim at a hardware store. The trim cost $1.75 per foot, including sales tax. If liam paid with an
HACTEHA [7]
$1.75 × 35 = $61.25
$100.00 - $61.25 = $38.75
5 0
3 years ago
Read 2 more answers
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