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2 years ago

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What is the equation in point slope form of the line that passes through the point (1, −2)and has a slope of 3? y+1=3(x−2) y−1=3

(x+2) y−2=3(x+1) y+2=3(x−1)

1 answer:

iogann1982 [59]2 years ago

3 0

Answer:

Step-by-step explanation:

y + 2 = 3(x - 1) is the point slope form

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Hollis house is located at (-1,4). She can walk in a straight line to get to Jedds house. A fast food resturant is located at (-

Nezavi [6.7K]

Answer:

The coordinates of Jedds house are (-7 , -2)

Step-by-step explanation:

* Lets explain how to solve the problem

- If point (x , y) divide the distance between the two points

$(x_{1},y_{1})$ and $(x_{2},y_{2})$ at the ratio

$(m_{1}:m_{1})$ , then

$x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}}$ and

$y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}$

* Lets solve the problem

∵ Hollis house is located at (-1 , 4)

∴ $(x_{1},y_{1})$ = (-1 , 4)

∵ She can walk in a straight line to get to Jedds house

∵ The restaurant is located at (-3 , 2) and partitions the way from

Hollis house to Jedds house by a ration of 1 : 2

∴ (x , y) = (-3 , 2)

∴ $(m_{1}:m_{1})$ = 1 : 2

- Lets consider that Jedds house is located at $(x_{2},y_{2})$

∴ $-3=\frac{-1(2)+x_{2}(1)}{1+2}$

∴ $-3=\frac{-2+x_{2}}{3}$

- Multiply both sides by 3

∴ $-9=-2+x_{2}$

- Add 2 for both sides

∴ $-7=x_{2}$

∴ $2=\frac{4(2)+y_{2}(1)}{1+2}$

∴ $2=\frac{8+y_{2}}{3}$

- Multiply both sides by 3

∴ $6=8+y_{2}$

- Subtract 8 for both sides

∴ $-2=y_{2}$

∴ The coordinates of Jedds house are (-7 , -2)

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3 years ago

How many times larger is the value of<br> 86,000,000 than 8,600?

TiliK225 [7]

Answer:

a 1000 times// just divide them

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3 years ago

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7/12 + 6/12 + 2/12 =

OleMash [197]

Answer:

1 1/4

Step-by-step explanation:

hope it helps ^^

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2 years ago

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35 POINTS PLEASE HELP!!!!!! Describe the two types of transformations that occur between function f and function g. (Use words l

noname [10]

Answer:

wheres the picture??

Step-by-step explanation:

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3 years ago

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Dear Math Helper,

valentina_108 [34]

Answer:

n = 98, that is, she scored at the 98th percentile.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

She scored 38, so $X = 38$

Test scores are normally distributed with a mean of 25 and a standard deviation of 6.4.

This means that $\mu = 25, \sigma = 6.4$

Find the percentile:

We have to find the pvalue of Z. So

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

$Z = \frac{38 - 25}{6.4}$

$Z = 2.03$

$Z = 2.03$ has a pvalue of 0.98(rounding to two decimal places).

So n = 98, that is, she scored at the 98th percentile.

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3 years ago