Answer:
14. T (0.75,-1)
U (0.75, 1.25)
V (-0.75, 1.25)
15. W (-0.75, -1)
16. Coordinates with x =0 are on the y-axis not the x-axis.
Step-by-step explanation:
14. The (x,y) points are written using the x value and y value for the coordinate.
T (0.75,-1)
U (0.75, 1.25)
V (-0.75, 1.25)
15. The fourth vertex of the rectangle called W will need to be at the same level as T and lined up with V.
W (-0.75, -1)
16. Coordinates with x =0 are on the y-axis not the x-axis.
Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
Step-by-step explanation:
This problem is similar to many others in which the sum of two quantities and their difference are given. The solution can be found easily when the equations for the relations are written in standard form.
<h3>Setup</h3>
Let s and h represent numbers of sodas and hot dogs sold, respectively. The given relations are ...
- s +h = 235 . . . . . combined total
- s -h = 59 . . . . . . difference in the quantities
<h3>Solution</h3>
Adding the two equations eliminates one variable.
(s +h) +(s -h) = (235) +(59)
2s = 294 . . . . simplify
s = 147 . . . . . .divide by 2
h = 147 -59 = 88 . . . . h is 59 less
147 sodas and 88 hot dogs were sold.
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<em>Additional comment</em>
The solution to a "sum and difference" problem is always the same. One of the numbers is half the sum of those given, and the other is half their difference. ((235-59)/2 = 88)
Any multiples of 4.5:1.5 would work because being proportional just depends on whether you can reduce to get the same answer of the first triangle. You could do anything like 9m and 3m or 27m and 9m
