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Nookie1986 [14]
2 years ago
13

The linear equation y=mx+b contains the point (-5, 5) and is perpendicular to the line 5x+25y=11.

Mathematics
1 answer:
aivan3 [116]2 years ago
7 0

The linear equation y=mx+b containing the point (-5, 5) and perpendicular to the line 5x+25y=11 is y = -5/11 x + 30/11

The formula for finding the equation of a line in point-slope form is expressed as:

y-y0 = m(x-x0) where:

m is the slope

(x0, y0) is any point on the line

Given the following

(x0, y0) = (-5, 5)

Get the slope of the given line 5x+25y=11.

Rewrite in the form y = mx+b

25y = -5x + 11

y = -5/11 x + 11/25

Compare with the original equation

mx = -5/11 x

m = -5/11

Get the required equation

y - 5 = -5/11(x-(-5))

11(y-5) = -5(x+5)

11y-55 = -5x - 25

11y+5x = -25 + 55

11y+5x = 30

11y = -5x + 30

y = -5/11 x + 30/11

Hence the linear equation y=mx+b containing the point (-5, 5) and perpendicular to the line 5x+25y=11 is y = -5/11 x + 30/11

Learn more here: brainly.com/question/17003809

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what is the least whole number that has the remainders 10,12, and 15 when divided by 16, 18. and 21, respectively
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Answer:

1002

Step-by-step explanation:

First find difference between the divisors and remainders.

16-10=6\\18-12=6\\21-15=6

Here, the difference between the divisors and remainders is equal.

So, the required number is equal to LCM of (16,18,21)-6

16=2^4\\18=2(3^2)\\21=3(7)

LCM of (16,18,21)=2^4(3^2)(7)=1008

Required Number =1008-6=1002

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If the base of a square pyramid is 9 centimeters, and it has a volume of 324 cubic centimeters, what is the height of the pyrami
masha68 [24]

A

The volume (V) of a pyramid is found using the formula

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area of base = 9² = 81 ← area of a square, hence

324 = \frac{1}{3} × 81 × h = 27h ( divide both sides by 27 )

h = \frac{324}{27} = 12 → A



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Step-by-step explanation:

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A example can be Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $25 each week for food, clothes, and movie tickets. The answer would be Any more than 12 weeks and his account balance would be less than $200. Any number of weeks less than 12 and his account would stay above $200.
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