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sasho [114]
2 years ago
11

A rectangle has a perimeter of (12x+8y). If one side of the rectangle is (4x-2y), write an expression of the other side.

Mathematics
1 answer:
BlackZzzverrR [31]2 years ago
3 0

Answer:4x+12y

Step-by-step explanation:

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Find the equation of the line passing through point (4,2) and perpendicular to AB
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Answer:

a. -⅓

b. 3

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Step-by-step explanation:

a. Gradient of line AB:

A(1, 3), B(7, 1)

Gradient = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 3}{7 - 1} = \frac{-2}{6} = -\frac{1}{3}

Gradient (m) = -⅓

b. The of the line that is perpendicular to line AB would be the negative reciprocal of the gradient of line AB.

Thus, the negative reciprocal of -⅓ = 3

Gradient of the line perpendicular to line AB = 3

c. Equation of the line that passes through (4, 2) and is perpendicular to line AB:

We can write the equation using the point-slope form equation, y - b = m(x - a), where,

(a, b) represents a point on the line, and,

m = gradient/slope

We know that the gradient/slope (m) = 3

Also, a point, (a, b) = (4, 2).

Therefore, substitute a = 4, b = 2, and m = 3 into y - b = m(x - a)

Thus:

y - 2 = 3(x - 4)

y - 2 = 3x - 12

Add 2 to both sides

y = 3x - 12 + 2

y = 3x - 10

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Each boy gets 10 sweets.

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A bag of candy
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Lady_Fox [76]

Answer:

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Step-by-step explanation:

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