Answer: The family's weekly income is $1500
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Work Shown:
x = weekly income (in dollars)
16% of x = amount spent on food per week
16% of x = 240
(16/100)*x = 240
0.16*x = 240
0.16*x/0.16 = 240/0.16
x = 1500
The interior angles of a parallelogram will always equal 360. The interior angles of a triangle are 180 if it is a equilateral triangle then the angles are 60 degrees each. You know 2 sides of parallelogram. The 100 degree and 90 degree. You can find the one opposing the x because it’s on a straight line and a straight line is 180 degrees if a triangle is 60 degree angle then the opposing angle to complete the straight line must be 180-60 so you get 120. You now know 3 sides. 120, 90 and 100
They should add up to be 360 so you can set up an equation like so
120+90+100+x=360
And x = 50
1. 8
2. 25
3.40
plug in the expressions
We know that
Any point <span>(x,y)</span> on the parabola is equidistant from the focus and the directrix
Therefore,
focus (0,4) and directrix of y=2
<span>√[<span>(x−0)</span></span>²+(y−4)²]=y−(2)
<span>√[x</span>²+(y-4)²]=y-2
x²+(y-4)²=(y-2)²
x²+y²-8y+16=y²-4y+4
x²=4y-12-----> 4y=x²+12----->y= (x²/4)+3
the answer is
y= (x²/4)+3
