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stealth61 [152]
3 years ago
11

Write the equation for a line that passes through the point (-8,2) and is parallel to 5x-4y=4. Enter your equation in slope inte

rcept form with slope written as a fraction​
Mathematics
1 answer:
Lana71 [14]3 years ago
3 0

Answer:

y = 5/4x + 12

Step-by-step explanation:

5x - 4y = 4

-4y = -5x + 4

y = (-5x + 4)/-4

y = 5/4x - 1

Parallel Slope ---> m = 5/4

(-8, 2)

y = mx + b

2 = 5/4(-8) + b

2 = 5 * -2 + b

2 = -10 + b

12 = b

b = 12

y = 5/4x + 12      <---- This is the answer

Hope this helps!

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Which statement is true about the value of 1-5/?
N76 [4]

Answer:

O It is less than 5.

Step-by-Step

OK so, first u check if it has a negative. It does, so its at the left of 0. SO you know its less than.

7 0
3 years ago
Given an equilateral triangle with two vertices located at (-8, -5) and (3, 7), what is its perimeter?
Oduvanchick [21]
An equilateral triangle has 3 sides of equal length
find the length of 1 side and that is the length of te other 2 sides
so find the length and times 3

we need to find the distance betwen the points (-8,-5) and (3,7)

distance between the points (x1,y1) and (x2,y2) is
D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}
so
distance between (-8,-5) and (3,7) is
D=\sqrt{(-8-3)^2+(-5-7)^2}
D=\sqrt{(-11)^2+(-12)^2}
D=\sqrt{121+144}
D=\sqrt{265}

the distance is √265
the perimiter is 3√265 units
7 0
3 years ago
Find the first 5 terms in the following sequence: a1 = 23, a, an-1 + 7, n &gt; 2​
sasho [114]

Answer:

Step-by-step explanation:

ok ok ok ok ok ok

6 0
3 years ago
Select the most precise and correct definition of parallel lines from among those that are given. Choose 1 answer: Choose 1 answ
Stella [2.4K]

Answer:

B

Step-by-step explanation:

For two lines to be parallel they must

1. not intersect

2. Be in the same plane

4 0
4 years ago
Scores on a test have a mean of 78.2 and 8 percent of the scores are above 89. The scores have a distribution that is approximat
anyanavicka [17]

Answer:

The standard deviation is 7.7

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 78.2

8 percent of the scores are above 89

This means that X = 89 has a pvalue of 1 - 0.08 = 0.92. So when Z = 89, Z = 1.405.

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

1.405 = \frac{89 - 78.2}{\sigma}

1.405\sigma = 10.8

\sigma = \frac{10.8}{1.405}

\sigma = 7.7

The standard deviation is 7.7

5 0
3 years ago
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