Answer: Yes, y does vary directly with x.
Constant of variation = 1/4
The function rule is y = (1/4)x
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Explanation:
Let's assume that y does vary directly with x.
If that's the case, then we have an equation in the form y = kx, where k is the constant of variation.
Solving for k gets us k = y/x
For each row, divide the y value over the x value
- row one: k = y/x = 14/56 = 0.25
- row two: k = y/x = 20/80 = 0.25
- row three: k = y/x = 22/88 = 0.25
Each row yields the value k = 0.25 and it fully confirms y does vary directly with x.
So y = kx becomes y = 0.25x as the function rule, which is equivalent to y = (1/4)x
14 miles Substitute AB = 3 and BC = 11 in above equation.
Answer:
17.3
Step-by-step explanation:
50 - 32.7 = 17.3
Answer:
x=70
y= 40
Step-by-step explanation:
the triangle containing x is an isosceles triangle so two of the sides are 55.
55+55+x=180.
110+x=180
110-110+x=180-110
x=70
Triangle BAC is equilateral so 180/3=60. Now
x+60+c=180
70+60+c=180
130+c=180
130-130+c=180-130
c=50
That gives us one corner of triangle CBD. We know a second angle is 90 so
50+90+y=180
140+y=180
140-140+y=180-140
y=40
I think that is correct but you are free to check it yourself
The appropriate formula is C = 2*pi*r.
Here, C = 2*pi*(50 units) = 100*pi units (answer)