Answer:
0
Step-by-step explanation:
To find the slope between the two given points, you can use the given formula for the slope between two points.
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<h3>given</h3>
The points are (x1, y1) = (-3, 2) and (x2, y2) = (4, 2).
The formula is ...
slope = (y2 -y1)/(x2 -x1)
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<h3>use the formula</h3>
Substituting the given values into the formula gives ...
slope = (2 -2)/(4 -(-3)) = 0/7 = 0
The slope of the line is zero.
9514 1404 393
Answer:
a) w(4w-15)
b) w²
c) w(4w -15) = w²
d) w = 5
e) 5 by 5
Step-by-step explanation:
a) If w is the width, and the length is 15 less than 4 times the width, then the length is 4w-15. The area is the product of length and width.
A = w(4w -15)
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b) If w is the side length, the area of the square is (also) the product of length and width:
A = w²
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c) Equating the expressions for area, we have ...
w(4w -15) = w²
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d) we can subtract the right side to get ...
4w² -15w -w² = 0
3w(w -5) = 0
This has solutions w=0 and w=5. Only the positive solution is sensible in this problem.
The side length of the square is 5 units.
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e) The rectangle is 5 units wide, and 4(5)-15 = 5 units long.
The rectangle and square have the same width and the same area, so the rectangle must be a square.
Answer:
It is an isosceles triangle (side FE = FG)
Therefore the base angles are equal.
75 degrees = 2x degrees
x = 75 / 2 = 37.5 degrees
Step-by-step explanation:
Answer:
7.
Step-by-step explanation:
21 = 3 * 7
28 = 2 * 2 * 7
42 = 2 * 3 * 7
Collecting common factors:
t is common to all 3 sets of factors so
HCF = 7.
F = k x
15 = k *10
k = 1.5
check:
24 = 1.5 x
x = 16 sureenough
so 1.5 oz/inch
= 1/1.5 inches/oz = 2/3 = 0.6666.... in/oz
