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3 years ago

What is the equation of a line parallel to y = 7x - 8 that passes through (5,-2)?

Mathematics

2 answers:

SVETLANKA909090 [29]3 years ago

7 0

Answer: y=7x+1

Step-by-step explanation: Find any equation parallel to the line.

Hope this helps you out! ☺

Anna007 [38]3 years ago

5 0

Answer:

The equation of a line parallel to y = 7x - 8 that passes through (5,-2):

: $y=7x-37$

Step-by-step explanation:

Given equation of the line :

y = 7x - 8

Slope intercept form = y = mx + c

Where = m = Slope of the line

c = intercept on y axis

On comparing the given equation with slope intercept form , we get

m = 7, c = -8

For equation of line which parallel to the line formed by given equation will have same slope because parallel lines have same value of slope.

m' = m= 7

Equation of the line passing from point (5,-2) can be determined by the help of point slop form;

$(y-y_1)=m(x-x_1)$

$(x_1,y_1): (5,-2)$

Slope of the parallel line = m' =7

$(y-(-2))=7(x-5)$

$y+2=7x-35$

$y=7x-37$

The equation of a line parallel to y = 7x - 8 that passes through (5,-2):

: $y=7x-37$

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dybincka [34]

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Answer:

d(32) = 28.80

the price Marcus pays on an item with an original price of 32

Step-by-step explanation:

d(32) = 32 -0.1(32)

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The problem statement tells you d(32) is the price Marcus pays when the original price is 32.

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2 years ago

In the figure BD||EG and the measure of angleACB=35 degree. What is the measure of angle GFH

GREYUIT [131]

That would also be 35

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Determine the number of possible triangles, ABC, that can be formed given angle A = 30°, a = 4, and b = 6.

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Answer:

Step-by-step explanation:

Alright, lets get started.

using Sine Law,

$\frac{sinA}{a}=\frac{sinB}{b}$

$\frac{sin30}{4}=\frac{sinB}{6}$

$sinB=0.75$

$angle B = 48.6$

Another angle will be

$angle B' = 180-48.6 = 131.4$

considering angle B, angle C = $180 - (48.6+30)=101.4$

considering angle B', angle C' = $180-(131.4+30)=18.6$

$\frac{sinA}{a}=\frac{sinC}{c}$

$\frac{sin30}{4}=\frac{sin101.4}{c}$

$c = 7.84$

Similarly, finding c'

$\frac{sinA}{a}=\frac{sinC'}{c'}$

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$c'=2.55$

Hence two triangles are possible with below details: : Answer

A = 30, B = 48.6, C = 101.4, c = 7.84

A = 30, B' = 131.4, C' = 18.6, c' = 2.55

Hope it will help :)

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Step-by-step explanation:

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Probability people where you at? 《brainlist if correct》

motikmotik

<h3>Answer: 5/9</h3>

As an approximate decimal, this is 0.5556 which converts to 55.56%

======================================================

Explanation:

Let's say there are 100 households (just for the sake of simplicity). We are told that 90% of them have answering machines. So that means 90 households have answering machines. In addition, 50 households have answering machines and call waiting. Those 50 households are part of the 90 mentioned previously.

We then select a house at random. Someone tells us (or we have some kind of prior knowledge) that whichever house is selected, they have an answering machine. We can ignore the 10 households that don't have an answering machine. Out of those 90 households, 50 have both features. So 50/90 = 5/9 is the probability of getting a household with both features.

The answer would be 1/2 or 50% if we didn't have the prior knowledge of the household having an answering machine. But with this prior knowledge, the conditions change and so does the probability.

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You could also compute 0.50/0.90 to get the same answer.

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3 years ago