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SOVA2 [1]
3 years ago
13

Write an equation in slope-intercept form for the line parallel to y = 5x - 2 that passes through the point (8, -2).

Mathematics
1 answer:
steposvetlana [31]3 years ago
6 0

Answer:

$ y = 5x - 42 $

Step-by-step explanation:

The equation of parallel line differ only by their constant.

Hence, the equation of the line parallel to $ y = 5x - 2 $ is nothing but $ y = 5x + c $

When a point passing through this line is given we can substitute the point in this line and get the value for $ c $.

The line passes through $ (8 , -2) $.

Therefore, we have: $ -2 = 5(8) + c $

$ \implies c = -42$.

Substituting this we get the equation of the parallel line as $ y = 5x - 42 $.

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5 units right, 2 units up

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3 years ago
5 rational and irrational numbers in decimal form
alexira [117]

Answer:

A rational number is a number that can be expressed as a fraction (ratio). This includes whole numbers, square roots that can be solved evenly, negatives, decimals, and repeating decimals that can be solved with a fraction.

  1. \frac{1}{2}   ↔  .5
  2. 5  ↔ 5.0
  3. \sqrt{4} ↔ 2.0
  4. -13  ↔  -13.0
  5. 0.38462... (\frac{5}{13})

An irrational number is a number that is NOT rational. It's the complete opposite!

  1. π  ↔  3.14159
  2. .13133133...
  3. \frac{\sqrt{3} }{2}   ↔  0.86603...
  4. -\sqrt{5}  ↔  -2.23607...
  5. \sqrt{5}   ↔   2.23607...

Hope this helps!!!

3 0
3 years ago
Find the difference (20m+3)-(7m-5)
xz_007 [3.2K]

Answer:

Simplifying

(20m + 3) + -1(7m + -5) = 0

Reorder the terms:

(3 + 20m) + -1(7m + -5) = 0

Remove parenthesis around (3 + 20m)

3 + 20m + -1(7m + -5) = 0

Reorder the terms:

3 + 20m + -1(-5 + 7m) = 0

3 + 20m + (-5 * -1 + 7m * -1) = 0

3 + 20m + (5 + -7m) = 0

Reorder the terms:

3 + 5 + 20m + -7m = 0

Combine like terms: 3 + 5 = 8

8 + 20m + -7m = 0

Combine like terms: 20m + -7m = 13m

8 + 13m = 0

Solving

8 + 13m = 0

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-8' to each side of the equation.

8 + -8 + 13m = 0 + -8

Combine like terms: 8 + -8 = 0

0 + 13m = 0 + -8

13m = 0 + -8

Combine like terms: 0 + -8 = -8

13m = -8

Divide each side by '13'.

m = -0.6153846154

Simplifying

m = -0.6153846154Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The following multiple regression printout can be used to predict a person's height (in inches) given his or her shoe size and g
alisha [4.7K]

Answer:

a. 8.95

b. it is

c. yes it belongs

d. males are 2.574 taller than females on average.

Step-by-step explanation:

GIven the regression outpuit that we have in this question, the value of the t test statistics for the shoe size can be solved as

a. test statistic = 1.164/0.13

t test = 8.95

b. the regression coefficient of shoe size is 1.164, this is statistically significant

c. Yes the variable shoe size does belong to the model.

d. The regression coefficient of gender shows that on the average, while holding other variables constant, males are 2.574 inches taller than the their female counterparts.

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2 years ago
Which expression is equivalent to 5y - 3x + 2?
Genrish500 [490]

Answer:

D)

Step-by-step explanation:

3 0
2 years ago
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