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3 years ago

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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Of the 50 U.S. states, 4 have names that start with the letter W What percentage of U.S. states have names that start with the l

san4es73 [151]

8 percent. Divide 4 by 50, which gives you 0.08. Move it to the right 2 ties, and you get 8%

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4 years ago

Solve the equation and write a reason for each step 4x+9=-3x+2

postnew [5]

Answer:

-1

Step-by-step explanation:

4x+9=-3x+2

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x=-1

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3 years ago

Read 2 more answers

IM HOMESCHOOLED AND I NEED SOME HELP WITH THIS QUESTION. ANYONE PLEASE HELP. my teacher won’t help me :(

gtnhenbr [62]

Answer:

GI = 18; GE = 12; IE = 6

Step-by-step explanation:

The key to the question is to realize or find out what a centroid is and what it does. You can solve this question by knowing three things.

The centroid is the meeting point of the three medians ( a median is a line that connects the midpoint of the side opposite a given vertex).
The centroid divides the median in a ratio of 2:1. The longest segment is from the vertex to the centroid.
The shortest segment is from the centroid to the midpoint of the side opposite the given vertex.

Point two is what you have to focus on.

GE/EI = 2/1

GE = 12 Given

Solution

GE / EI = 2/1 Substitute for the given

12 / EI = 2/1 Cross multiply

2*EI = 12 * 1 Simplify the right

2 * EI = 12 Divide by 2

EI = 12/2 Divide

Part Two

GI = EI + GE

GI = 6 + 12

GI = 18

EI = 6

4 0

3 years ago

Suppose Casey Title Company normally charges $300 for services related to selling a house. As part of a summer special, Casey of

g100num [7]

Given :

Casey's company charges , C = $300.

In summer special, Casey offers customers a trade discount of 25%.

To Find :

Charges during summer.

Solution :

Let, x is the amount of charges they take during summer.

Casey offers customers a trade discount of 25%.

$x =300(1-\dfrac{25}{100})\\\\x=300(1 - 0.25)\\\\x=300(0.75)\\\\x=\$225$

Therefore, amount of charges during summers are $225.

Hence, this is the required solution.

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3 years ago

A national survey of companies included a question that asked whether the customers like the new flavor of a cola from company A

mote1985 [20]

Answer:

The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.