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slega [8]
3 years ago
5

i need to find the equation of the line that has the same y intercept as the line y-8x+3=0 and is parallel to the line 4x-9y=1

Mathematics
1 answer:
loris [4]3 years ago
5 0

Answer:


Step-by-step explanation:

<u>How do you find the equation of a line parallel to another line? </u>

<em>Method 1:</em> Using Slope Intercept Form

Substitute the slope from original line (3 in this case) into the equation of the line y = 3x + b.

Substitute the given point (1,7) into the x and y values 7 = 3(1) + b.

Solve for b (the y-intercept)

Substitute this value for 'b' in the slope intercept form equation y = 3x + 4.

<u>How do you find the Y intercept of a parallel line? </u>

Step 1: Find the slope of the line. To find the slope of the given line we need to get the line into slope-intercept form (y = mx + b), which means we need to solve for y: The slope of the line 3x – 5y = 9 is m = 3/5. Therefore, the slope of the line parallel to this line would have to be m = 3/5.

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Mrs. Rodger got a weekly raise of $145. If she gets paid every other week, write an integer describing how the raise will affect
EleoNora [17]

Hi! I'm Jenny and I'm a mathematician! I'd love to help you with this problem! :)

Lets get started...

I'll write the equation out for you!

x + x(xx)

Put the value of x = 2 in the above expression we get,

2 + 2(22)

= 2 + 2(2 × 2)

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8 0
4 years ago
Use the given graph. Determine the period of the function.
Ivahew [28]

Answer:

3

Step-by-step explanation:

Period of a function is the period after which the function attains the same value

in the graph attached with this problem we can see that

f(0)=1

the value of x for which function f(x) attains the value 1 again is at

x=3

f(3)=1

similarly , we see

f(6)=1 , f(9)=1

Hence we see that after every increased value of x by 3 units , we attain the same value of function . hence the period of the function is 3

6 0
3 years ago
A research article reports the results of a new drug test. The drug is to be used to decrease vision loss in people with Macular
Brilliant_brown [7]

Answer:

A. Valid

Step-by-step explanation:

The P-value is the probability of getting this result or sample statistic if the null  hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.

The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.

7 0
3 years ago
X/2 - y/3 = 3/2<br>X/3 + y/2 = 16/3
Ivenika [448]
X/2-y/3=3/2
(6×x/2)-(6×y/3)=6×3/2
3x-2y=9______(1)

x/3+y/2=16/3
(6×x/3)+(6×y/2)=6×16/3
2x+3y=32_____(2)
(1)×3____9x-6y=27____(3)
(2)×2____4x+6y=64____(4)
(3)+(4)___13x=91
x=7
3(7)-2y=9
-2y=-12
y=6
4 0
3 years ago
an aquarium holds 33.75 gallons of water. it has a length of 2 feet and a height of 1.5 feet what is the width of the aquarium
kolezko [41]
33.75 = 2*1.5*x
33.75 = 3x
x = 11.25 feet
6 0
3 years ago
Read 2 more answers
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