Answer:
(See explanation below for further details).
Step-by-step explanation:
Let be a parametric curve represented by
and
, where
is the parametric variable.
The curve is represented graphically with the help of a graphing tool, whose outcome is included in the image attached below. The corresponding rectangular equation is found by eliminating t of each equation.
and ![t = \frac{y-1}{5}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7By-1%7D%7B5%7D)
![\frac{x+5}{3} = \frac{y-1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B5%7D%7B3%7D%20%3D%20%5Cfrac%7By-1%7D%7B5%7D)
![5\cdot (x+5) = 3\cdot (y-1)](https://tex.z-dn.net/?f=5%5Ccdot%20%28x%2B5%29%20%3D%203%5Ccdot%20%28y-1%29)
![5\cdot x +25 = 3\cdot y - 3](https://tex.z-dn.net/?f=5%5Ccdot%20x%20%2B25%20%3D%203%5Ccdot%20y%20-%203)
![5\cdot x -3\cdot y = -28](https://tex.z-dn.net/?f=5%5Ccdot%20x%20-3%5Ccdot%20y%20%3D%20-28)
The parametric equations represents a linear function (first-order polynomial).
Answer:
BEANSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
The expression that represents the distance between -3 and 5 on the number line is “-3-5”.
Answer:
A and D B and A C and B D and C
Step-by-step explanation:
Answer: 74.8%
This answer is approximate.
The value is rounded to the nearest tenth of a percent.
==========================================
Explanation:
Let,
X = area of the larger circle
Y = area of the smaller circle
Z = area of the shaded region = X - Y
The goal is to compute the ratio Z/X to get the answer we want
Let's find area of the larger circle
Area of circle = pi*(radius)^2
A = pi*r^2
X = pi*8.01^2
X = 64.1601pi
This is the exact area in terms of pi
Now repeat for the smaller circle
A = pi*r^2
Y = pi*4.02^2
Y = 16.1604pi
Subtract those results to find the value of Z
Z = X-Y
Z = 64.1601pi-16.1604pi
Z = 47.9997pi
This is the exact area of the red donut region
Divide Z over X to get the probability of landing in the red region
Z/X = (47.9997pi)/(64.1601pi)
Z/X = (47.9997)/(64.1601) <--- note how the pi terms cancel
Z/X = 0.74812 which is approximate
Convert to a percent
Move the decimal point 2 spots to the right
0.74812 ---> 74.812%
Then round this to one decimal place
74.812% ---> 74.8%