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jeka94
3 years ago
9

Origin is the corner of square whose one side is 3 X + 4 Y + 5 = 0 find its area.

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

The correct option is;

a. 1

Step-by-step explanation:

Given that the origin (0, 0) is the corner of the square

The equation of one of the sides = 3·X + 4·Y + 5 = 0

Therefore, we have;

Y = -3/4·X - 5/4

Which gives the slope as -3/4 and the y-intercept as (0, -5/4)

The sloe of the perpendicular side from the origin to the given line is therefore = -(1/(3/4)) = 4/3

The y-intercept of the current particular perpendicular side = 0

The equation is therefore;

y = 4/3·x + 0

The coordinate of the point of intersection of the two sides of the square above is found by equating the two lines to each other as follows;

4/3·x = -3/4·X - 5/4

4/3·x + 3/4·X = -5/4

25/12·X = -5/4

X = -5/4×12/25 = -3/5

Y = 4/3·x = 4/3× (-3/5) =-4/5

The length of a side = √((-3, 5) - 0)² + ((-4, 5) - 0)² = √1 = 1

The area of a square = (Length of side) × (Length of side)

∴ The area of the square = 1 × 1 = 1

The area of the square  = 1.

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0.6(10n + 25) = 10 + 5n
drek231 [11]

Answer: n=-5

Step-by-step explanation:

distribute: 0.6(10n+25)=10+5n   0.6(10n)= 6n   0.6(25)=15   so then you put the problem together again... 6n+15=10+5n then you cancel out the n variable... 10-15=-5   6n=-5+5n   6n-5n=1n   1n=-5   -5/1   n=-5

6 0
2 years ago
In six years time Sean will be 24 years old. In which year was he born
postnew [5]

Answer:

Step-by-step explanation:

24-6=18

now 2022 so

2022-18=2004

6 0
2 years ago
Another housecleaning service, Acme Home, calculates its fees using the equation y=25x
Vitek1552 [10]

Answer:

y < 25x , or y = kx { where k < 25 } , or choosing a time saving worker {as fee is in terms of hours}

Step-by-step explanation:

Services cost : y = 25x , where y is the total fee and x is the number of hours worked.

If customer is looking to choose the less expensive cleaning service ; he / she has following options -

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2 years ago
There are 24 fish in a pond. 6 are gold and 18 are black. What is
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Step-by-step explanation:

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2 years ago
The factors of the number 56 are 1, 2, 4, 7, 8, 14, 28, and 56. Choose the factor pairs of the number 56.
natima [27]

Answer:

b) 7×8

c) 4×14

d) 2×28

Step-by-step explanation:

A factor pair of a number is a pair of numbers that, when multiplied will result in the given number.

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, and 56.

The factor pairs are:

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Out of the options, only Option A is not a factor pair.

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2 years ago
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