C is the midpoint of AE. B is the midpoint of Ac. D is the midpoint of CE
1 answer:
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The dimensions of the map are 8 feet × 4 feet
Step-by-step explanation:
Step 1; It is given that the perimeter of the map is 24 feet while the area is 32 square feet. The map is in the shape of a rectangle so we need to calculate its length and its width of this rectangle. The area of any particular rectangle is given by the multiplication of its length with width. The perimeter is given by double the value of the sum of its length and width.
Step 2; Equating these we get
Perimeter = 2 (l + w) = 24 feet
Area = l × w = 32 feet.
From the perimeter formula, (l + w) = = 12
So we have (l + w) = 12 while l × w = 32.
Step 3; Possible values of l and w are
(1 ,11), (2, 10), (3, 9), (4, 8), (5, 7), (6, 6), (7, 5), (8, 4), (9, 3), (10, 2) and (11, 1).
Out of these possibilities only (4, 8) and (8, 4) give a product of 32 but since l is greater than w we have the value of l as 8 feet while w is 4 feet.
Answer:
a)
b)
c)
Step-by-step explanation:
a) The slope / gradient is the coefficient of , so for a) it will be
.
C is the y-intercept, so the full equation will be .
b) Again, since the slope is 6, we know the coefficient of will be 6.
Now, we have a point on the line and so far, we know the equation is . The coordinates of the point are (2,-6). So now we substitute the y and x values into the equation in order to find C.
c) To find the gradient we must use the formula .
rise = change in y value
run = change in x value
so, the gradient
Now the equation is
Again, to find C we substitute any of the coordinates into the equation. I will use (-1,3).
so c) is