Answer:
Step-by-step explanation:
As x increasess by 5 units from 0 to 5, y increases by 6,250 to -30,000.
The rate of change is:
change in y 6250
---------------------- = ------------------- = 1250 (units of x) / (units of x)
change in x 5
Answer:
x^2/25 +y^2/9 = 1
Step-by-step explanation:
You can think of an ellipse as a circle with a different scale factor in the x-direction than in the y-direction. When either dimension is stretched by a factor of k, the corresponding variable (v) is replaced by (v/k).
Here, the unit circle
x^2 +y^2 = 1
is stretched by a factor of 3 vertically (in the y-direction) and a factor of 5 horizontally (in the x-direction). That means we can replace x with (x/5) and y with (y/3) in the above equation to get ...
(x/5)^2 +(y/3)^2 = 1
Traditionally, the denominator is written as a number, not a square, so the equation would be ...
x^2/25 +y^2/9 = 1
Angle 6&5 are supplementary so they make a line. (Add to 180.)
(3x-34)+124=180 combine like terms
3x + 90=180 subtract 90 from both sides
3x = 90. Divide by 3
X = 30
Answer:
937.5
Step-by-step explanation:
2500-(1250+312.5)
The equation of variation in which y varies jointly as x and z and inversely as the product of w and p is y=0.5(xz/wp).
Given that variable y varies jointly as x and z and inversely as the product of w and p,where y=7/28 where x=7,z=4,w=7 and p=8.
We are required to find the equation of variation.
To solve this problem we must apply the following procedure:
1) We have that y varies jointly as x and z and inversely as the product of w and p. Therefore we can write the following equation,where k is the constant of proportionality:
y=k(xz/wp)----------1
Now we have to solve for the constant of proportionality as done under:
k=ywp/xz-------------2
Using the values in equation 1.
k=(7/28)(7)(8)/(7)(4)
=0.5
Using all the values in the equation 2.
y=0.5(xz/wp)
Hence the equation of variance is y=0.5(xz/wp).
Question is incomplete.The following values should be included:
y=7/28 where x=7,z=4,w=7 and p=8.
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