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ss7ja [257]
3 years ago
9

James wants to draw a line diagonally across a rectangular piece of paper. If the paper measures 9 inches by 12 inches, what is

the minimum length of the straight-edge he needs to make the line?
Mathematics
2 answers:
Helga [31]3 years ago
8 0
The straight-edge would have to be 12.7279220614 inches
sineoko [7]3 years ago
3 0
If James draws a diagonal line of length x from one right angle to the opposite right angle, then he divides his piece of paper into two pieces, each of them is right triangle with legs 9 inches and 12 inches.
By Pythagorean theorem:
 x^2=9^2+12^2 \\ x^2=81+144 \\ x^2=225 \\ x=15 inches.
Answer: 15 inches


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Answer:

78%

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galina1969 [7]

Answer:

The rate of change or slope m  = -50

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

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Given that there is $500 in Holly's bank account.

Thus, the y-intercept b = 500

It is stated that she takes out $50 from her account each month but doesn't put money back in.

It means the rate of change or slope is decreasing.

Thus, the rate of change or slope m  = -50

<u>EXTRA BONUS!</u>

We can also determine the line equation by substituting m = -50 and b = 500 in the slope-intercept form

y = mx+b

y = -50x + 500

Here:

The slope m = -50

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<span>But the balloon is only 3/4 full. So </span>

<span>36 * (3/4) * pi = 27 * pi. </span>

<span>The balloon has 27 pi cubic inches of water.</span>
7 0
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