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3 years ago

Which equation represents the line that passes through (-6, 7) and (-3, 6)?

Mathematics

1 answer:

Vaselesa [24]3 years ago

5 0

Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

y-6=-1/3(x+3)

y-6=-1/3x-1

y=-1/3x+5

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How to solve x in the equation 9x over 2 - 6=5

drek231 [11]

Step-by-step explanation:

$\frac{9x}{2} - 6 = 5 \\ \\ \therefore \: \frac{9x}{2} = 5 + 6 \\ \\ \therefore \: \frac{9x}{2} = 11 \\ \\ \therefore \: 9x = 11 \times 2 \\ \\ \therefore \: 9x = 22 \\ \\ \therefore \: x = \frac{22}{9} \\ \\ \therefore \: x = 2 \frac{4}{9}$

3 0

3 years ago

Given that the points (-3, 2) and (1, 2) are vertices of a rectangle, what two sets of coordinates could form the other two vert

Lesechka [4]

Answer:

Step-by-step-by-step

explanation:

4 0

3 years ago

A recent study found that the average length of caterpillars was 2.8 centimeters with a

pogonyaev

Using the normal distribution, it is found that there is a 0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the mean and the standard deviation are given, respectively, by:

$\mu = 2.8, \sigma = 0.7$ .

The probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters is one subtracted by the p-value of Z when X = 4, hence:

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

$Z = \frac{4 - 2.8}{0.7}$

Z = 1.71

Z = 1.71 has a p-value of 0.9564.

1 - 0.9564 = 0.0436.

0.0436 = 4.36% probability that a randomly selected caterpillar will have a length longer than (greater than) 4.0 centimeters.

More can be learned about the normal distribution at brainly.com/question/24663213

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4 0

2 years ago

PLZ HELP THIS IS HARD I WILL FIVE BRAINLIEST

bagirrra123 [75]

Answer:

$2\frac{1}{3}\: ft$

Step-By-Step Explanation:

$Height\: of \:sail = 1\frac{1}{6}\: ft = \frac{7}{6}\: ft\\Base\: of \:sail = 4\: ft \\Area\: of \:sail =\frac{1}{2} \times base \times height\\=\frac{1}{2} \times \frac{7}{6} \times 4\\= \frac{7}{6} \times 2\\=\frac{7}{3}\\=2\frac{1}{3}\: ft$

6 0

3 years ago

5 (x+9) = 3 (x +8) + 2x

zmey [24]

Answer:

No solution

Step-by-step explanation:

Distribute

5x+45 = 3x+24+ 2x

Combine terms

45=5x-5x

45=0

This statement is not true so it is no solution

8 0

3 years ago