Answer:
see explanation
Step-by-step explanation:
If 2 lines are perpendicular then the product of their slopes equals - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Consider the given equations
3x - 4y = 12 ( subtract 3x from both sides )
- 4y = - 3x + 12 ( divide terms by - 4 )
y = 
x - 3 ← in slope- intercept form
with slope m =
3y = 12 - 4x = - 4x + 12 ( divide terms by 3 )
y = - 
x + 4 ← in slope- intercept form
with slope m = -
Then
× - = - 1
Since the product of their slopes = - 1 then the lines are perpendicular
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Define length and width
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Let x be the width
width = x
Length = 2x + 4
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Formula
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Perimeter = 2(length + width)
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Find Length and width
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62 = 2(2x + 4 + x)
62 = 2(3x + 4) <em> ← combine like terms </em>
62 = 6x + 8 <em>← remove bracket </em>
62 - 8 = 6x <em>← minus 8 on both sides </em>
6x = 54 <em> ← swap sides </em>
x = 54 ÷ 6 <em>← divide by 6 on both sides</em>
<em>x = 9 m</em>
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Find Length and Width
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Width = x = 9 m
Length = 2x + 4 = 2(9) + 4 = 22 m
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Answer: Length = 22m
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Answer: A. Women began to work outside the home
Step-by-step explanation:
X2+13x-48
(x-3)(x+16)
X=3, X=-16
3 and -16 are the Zeros
Answer:
6N = T
They will take 96 minutes to add 16 seats.
Step-by-step explanation:
In the factory, the workers add bicycle seats at a rate of 2 seats every 12 minutes.
If the number of seats they add is N and the number of minutes it takes is T, then they are proportional i.e. N ∝ T.
⇒ N = kT ........... (1)
Now, N = 2 for T = 12 minutes.
So, from equation (1), 2 = 12k
⇒ 
Therefore, the equation (1) becomes 
⇒ 6N = T ......... (2)
Now, for N = 16, from equation (2) we get,
T = 16 × 6 = 96 minutes.
Therefore, they will take 96 minutes to add 16 seats. (Answer)
