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lisabon 2012 [21]
2 years ago
4

–2x + 3y = –18 in slope intercept form

Mathematics
1 answer:
Ahat [919]2 years ago
5 0
Y = mx + b

-2x + 3y = -18
3y = 2x - 18

y = 2/3x - 6

Answer: y = 2/3x - 6

Hope this helps :)
Please give brainliest<span />
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Gavin likes biking. He never misses a chance to go for a ride when the weather is nice. This week his goal is to bike about 65 t
andreyandreev [35.5K]

Answer:

How far should he ride on each of the four days to reach his goal?

1st day: 8 miles

2nd day: 12 miles

3rd day: 18 miles

4th day: 27 miles

Step-by-step explanation: As the problem says, x is the number of miles he rides on the first day. Let's start off with that.

1st day: x miles

He want to ride 1.5 times as far as he rode the day before... no 1.5 more, but 1.5 <em>times</em> as far as he rode the day before; you would multiply 1.5 with the previous day's length.

2nd day: 1.5x

Then you multiply 1.5 to 1.5x to get the third day's.

3rd day: 2.25x

4th day: 3.375x

----------------------------

Phew! Gavin wants to ride a total of 65 miles over these four days, so if Gavin added all the miles of the four days, he should get 65...

1st+2nd+3rd+4th=65

x+1.5x+2.25x+3.375x=65

8.125x=65

\frac{8.125x}{8.125}=\frac{65}{8.125}

x=8

Yes! Now that we've got the hard part done... substitute 8 for ever single x.

1st day: 8 miles

2nd day: 1.5(8)=12 miles

3rd day: 2.25(8)=18 miles

4th day: 3.375(8)=27 miles

-------------------------

Checking my answer:

Just add the miles!

8+12+18+27=65

65=65

✓

-----------------------

Hope that helps! :D



5 0
2 years ago
Write the verbal sentence as an equation. let y represent the number
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Answer:

Marcus is picking songs to play during a slideshow. The songs are each 3\dfrac123  

2

1

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3, start fraction, 1, divided by, 2, end fraction minutes long. The slideshow is 31\dfrac1231  

2

1

​  

31, start fraction, 1, divided by, 2, end fraction minutes long.

Step-by-step explanation:

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2 years ago
Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please
Sladkaya [172]

as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.

parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad \qquad \qquad  slope =  m\implies -\cfrac{7}{4} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-\cfrac{7}{4}(x-4) \\\\\\ y-2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9

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<span>F = 967433.58 N </span>

<span>capsule's weight W= 210 * 9.81 = 2060.1 N </span>

<span>F = 469.6 times capsule weight ---answer</span>
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2 years ago
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