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3 years ago

Write an equation of a line parallel to y = 5x + 4 that passes through (-1, 2)

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

5 0

Answer:

$y=5x+7$

Step-by-step explanation:

step 1

Find the slope of the line parallel to the given line

we know that

If two lines are parallel, then their slopes are equal

The equation of the given line is $y=5x+4$

The slope of the given line is $m=5$

The slope of the line parallel to the given line is also $m=5$

step 2

Find the equation of the line parallel to the given line

The equation of the line in point slope form is

$y-y1=m(x-x1)$

we have

$m=5$

$point\ (-1,2)$

substitute

$y-2=5(x+1)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-2=5x+5$

$y=5x+5+2$

$y=5x+7$

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Iteru [2.4K]

answer:

x = 0.80

y = 1.50

step-by-step explanation:

x = cost of tacos

y = cost of burritos

both equations:

3x + 2y = 5.40

2x + 1y = 3.10

turn this | into this |

y = 3.10 - 2x

then add it to the equation :

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3 [ 0.80 ] + 2y = 5.40

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3 years ago

Is AB parallel to CD?

Katen [24]

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For line CD you have a slope of
$\frac{ - 1 - ( - 5)}{3 - 0} = \frac{4}{3}$
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3 years ago

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Answer:

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Step-by-step explanation:

its half of the bottom number

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The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard

dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$