Answer:
Step-by-step explanation:
Perpendicular slopes are the opposite reciprocals of the slopes given. Our slope in 8 is -2. That means that the perpendicular slope is 1/2. If the line goes through (2, -1), then
and
and
9 is a tiny bit trickier because we don't have the slope, the x term, on the opposite side of the equals sign from the y. Let's do that and then we can determine the slope of that given line. Moving over the 3x and isolating the y:
y = -3x + 5
So the slope is -3. That means that the perpendicular slope is 1/3. If the line goes through (-9, 3), then
and
and
so
Divide by 90%.
x = £55.56
In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
Answer:12
Step-by-step explanation:
24-12=12
The area of pasture is 60000 square feet.
Step-by-step explanation:
Perimeter of rectangular pasture = 1000 feet
Width of pasture = w
Length of pasture = l = w+100
We know that,
Perimeter = 2(Length+width)
Dividing both sides by 4
Width is 200 feet.
Length = w+100 = 200+100 = 300 feet
Area of pasture = A = Length * Width
The area of pasture is 60000 square feet.
Keywords: rectangle, area
Learn more about rectangles at:
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