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irinina [24]
3 years ago
9

Write the slope intercept form of the line that goes through points (5,6) and (2, 15)

Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0

Answer:

slope \:  =  \frac{y2 - y1}{x2 - x1 } \\ slope =  \frac{15 - 6}{2 - 5}  \\ slope =  \frac{9}{3}

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If he is to receive 200 ml per hour, then after 6 hours he has received 200*6 which is 1200 ml
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4 years ago
Whats 2/3x+3/7=1-4/7x​
Juliette [100K]

Answer:

x=6/13

Step-by-step explanation:

So we have:

\frac{2}{3}x+\frac{3}{7}=1-\frac{4}{7}x

Remove all the fractions to make things simpler. To do so, we can multiply by the LCM of the denominators.

The denominators are 3 and 7.

The LCM of 3 and 7 is 21. Thus, multiply everything by 21:

21(\frac{2}{3}x+\frac{3}{7})=21(1-\frac{4}{7}x)

Distribute:

\frac{42}{3}x+\frac{63}{7}=21-\frac{84}{7}x

Simplify the fractions:

14x+9=21-12x

Add 12x to both sides:

26x+9=21

Subtract 9 from both sides:

26x=12

Divide both sides by 26:

x=12/26

Reduce:

x=6/13

And that's our answer :)

5 0
3 years ago
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NEED HELP ASAP PLEASE . End of quarter today
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Answer:

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3 years ago
A picture frame measures 9 inches high and 5.4 Inches wide. It will be proportionately enlarged so the height will be 15 inches.
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Answer:

Width: 9 inches

Step-by-step explanation:

1. We can see that the height increased by 6 inches, provided a difference of 15 and 9. If the question states that the frame's dimensions were proportionately enlarged, perhaps the height's enlargment could be benificial

2. If we were to take a ratio where the increased height is over the previous height (height enlargment/prior height) that would be 6/9, or in other words, can be simplified to be 2/3

3. We can see that if the width were to be enlarged, we might be able to determine how much it should be enlarged through a proportionality, provided <em>the frame's dimensions are proportionately enlarged.</em> Now if x ⇒ the width enlargment: 2 / 3 = x / 5.4

4. Through cross multiplication, let us solve for x:

2 * 5.4 = 3 * x,

10.8 = 3 * x,

x = <em>3.6 inches by which the width should be enlarged</em>

5. If we are to determine the new width of the frame after enlargment, add <em>5.4 to 3.6 ⇒ the width of the frame ⇒ 9 inches</em>

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3 years ago
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