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sesenic [268]
4 years ago
5

What is the value of p if the line that passes through (2,-4) and (p,8) has a slope of 1/2? ​

Mathematics
1 answer:
Irina18 [472]4 years ago
6 0

Answer:

Step-by-step explanation:

(2,-4)....x1= 2 and y1 = -4

(p,8).....x2 = p and y2 = 8

slope(m) = 1/2

now use the slope formula (y2 - y1) / (x2 - x1) and sub in what we know...

slope(m) = (y2 - y1) / (x2- x1)

1 / 2 = (8 - (-4) / (p - 2)

1 / 2 = (8 + 4) / (p - 2)

1/2 = 12 / (p - 2) .....now multiply both sides by (p - 2)

1/2(p - 2) = 12

1/2p - 1 = 12

1/2p = 12 + 1

1/2p = 13

p = 13 / (1/2)

p = 13 * 2/1

p = 26

so the value of p is 26

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Natali5045456 [20]

Answer:

2.  y = 7/2 x -2

3.   y = 3/4x-1

Step-by-step explanation:

points (0,-2)  (4,12)

slope = (y2-y1)/(x2-x1)

slope = (12--2)/(4-0)

    = (12+2)/4

   = 14/4 = 7/2

the slope is 7/2 and the y intercept is -2

y = mx+b

y = 7/2 x -2


points (0,-1)  (4,2)

slope = (y2-y1)/(x2-x1)

slope = (2--1)/(4-0)

    = (2+1)/4

   = 3/4

the slope is 3/4 and the y intercept is -1

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y = 3/4x-1

3 0
3 years ago
What is true about rational numbers
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6 0
3 years ago
The double number line shows that in 222 minutes, Pogo the dog can fetch a frisbee 666 times. Based on the ratio shown in the do
Ilia_Sergeevich [38]

Answer:

Dog Pogo will fetch the frisbee <u>12 times</u> in 4 minutes.

Step-by-step explanation:

Given:

Number of minutes required =2 minutes.

Number of times frisbee fetch by dog = 6 times

We need to find Number of times the dog can fetch the frisbee in 4 minutes.

First we will find number of frisbee fetch in minute.

In 2 minutes = 6 times frisbee fetched by the dog

so in 1 minute = Number of times frisbee fetched by the dog in 1 minute.

By using Using Unitary method we get;

Number of times frisbee fetched by the dog in 1 minute = \frac{6}{2} =3

Hence in 1 minutes the dog can fetch frisbee 3 times.

for 1 min = 3 times frisbee is been fetched by dog

So for 4 minutes = Number of times frisbee is been fetched by dog in 4 min.

Again by using Unitary Method we get;

Number of times frisbee is been fetched by dog in 4 min = 3\times4 = 12

Hence Dog Pogo will fetch the frisbee <u>12 times</u> in 4 minutes.

8 0
3 years ago
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Does anyone understand this? thanks
Vitek1552 [10]
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3 0
3 years ago
Suppose that the scores of a history test are normally distributed with a mean of 565 and a standard deviation of 113. a) What p
zvonat [6]

Answer:

15.39% of the scores are less than 450

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 565, \sigma = 113

What percentage of the scores are less than 450?

This is the pvalue of Z when X = 450. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{450 - 565}{113}

Z = -1.02

Z = -1.02 has a pvalue of 0.1539

15.39% of the scores are less than 450

6 0
4 years ago
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