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ella [17]
4 years ago
13

Find the distance between y=3x+6 and y=3x−2. Round your answer to the nearest tenth.

Mathematics
1 answer:
Aleonysh [2.5K]4 years ago
6 0

Answer:

Step-by-step explanation:

These lines are parallel since they both have the slope of 3.  Then it becomes a matter of seeing how far their y-intercepts are from one another.  That is the distance between them, and will be the distance between them for the entire length of each line since parallel lines remain the same distance apart forever.  The first line has a y-intercept of 6 and the second line has a y-intercept of -2.  From 6 to 0 is 6, then add another 2 units to get a grand total of 8 units apart.  Since distance is a measure of length and length will never be negative, we are not subtracting here.  We are simply counting the number of units between each y-intercept.  And it doesn't have to be the y-intercept.  Every point on the first line is 8 units above every point on the second line.

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devlian [24]

Answer:

X1 =-10,  X2= 4

Step-by-step explanation:

|-3-x|-2=5

|-3-x|=5+2

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8 0
4 years ago
Can you help me find the slope intercept on the second one?
alexandr1967 [171]

Answer:

y= 8x + 5

Step-by-step explanation:

y = 8x + b

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8 0
3 years ago
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kirill115 [55]
The median of the data below is 1
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3 years ago
Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,
Y_Kistochka [10]

Answer: 13%

Step-by-step explanation:

The formula to find the simple interest is given by :-

I=Prt, where P is the principal amount, r is rate of interest () in decimal and t is the time ( in years).

Given : P = $19,100 ,  I=$9932.00  and t=  4 years

Substitute all the above values in the formula , we get

9932.00=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow r=\dfrac{13}{100}=0.13

In percent , r=0.13\times100=13\%

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6 0
3 years ago
Pierre cut the length of an 8 cm wide plank into nine pieces and arranged them as shown in the picture. The centrepiece is a squ
kow [346]

Answer: 200cm

Step-by-step explanation:

The center Planck is a square of length 8cm.

The 4 next planks are of 16 cm each

And the next 4 Planks are of 32 cm each.

8 + 4(8×2) + 4(8×4)

8 + 4(16) + 4(32)

8 + 64 + 128

200 cm

Length of the original plank is 200cm

8 0
3 years ago
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