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Brut [27]
1 year ago
15

suppose the integers from 1 to 25 are arranged in consecutive order. How many different pairs of integers may be selected if the

re are at least four integers between the selected integers?
Mathematics
1 answer:
stealth61 [152]1 year ago
7 0
There is 5 different pairs
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Write the slip-intercept form of the equation of the line described
kompoz [17]

Answer:

1) y=⅚x -2⅓

2) y=8/3x -5

Step-by-step explanation:

<u>Point-slope form:</u>

y=mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient.

Gradient of given line= \frac{5}{6}

Thus, m=⅚

Susbt. m=⅚ into the equation,

y= ⅚x +c

Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.

When x=4, y=1,

1= ⅚(4) +c

1 =  \frac{20}{6}  + c \\ c = 1 -  \frac{20}{6}  \\ c = 1 - 3 \frac{1}{3}  \\ c =  - 2 \frac{1}{3}

Thus the equation of the line is y =  \frac{5}{6} x - 2 \frac{1}{3}.

The gradients of perpendicular lines= -1.

Gradient of given line= -⅜

-⅜(gradient of line)= -1

gradient of line

= -1 ÷ (-⅜)

= -1 ×(-8/3)

= \frac{8}{3}

y =  \frac{8}{3} x + c

When x=3, y=3,

3 =  \frac{8}{3} (3) + c \\ 3 = 8 + c \\ c = 3 - 8 \\ c =  - 5

Thus the equation of the line is y =  \frac{8}{3} x - 5.

4 0
3 years ago
In the parallelogram shown, AE = p − 8, CE = 2p − 58, and DE = p + 15.
Advocard [28]
What is the name of the parelellogram
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3 years ago
Alice has 8 meters of ribbon. She needs 1/2 meter of ribbon for each package. How many packages can Alice wrap with ribbon? A.16
dybincka [34]

Answer:

A

Step-by-step explanation:

1. 8 / ½ or 8 * 2

2. You get 16

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if a bathtub is being filled at a rate of 2.5 gallons per minute, how long will it take to fill the bathtub?
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You need say how big the bathtub it is or you cant do it.

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3 years ago
Read 2 more answers
PLEASE ANSWER ASAP PLEAS
garik1379 [7]

Answer:

d only.

Step-by-step explanation:

lol i know ur map testing, i had the same question yesterday

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2 years ago
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