Answer:
-3
Step-by-step explanation:
y = 4x - 3
this equation is put in slope intercept form
y = mx + b
where m = slope and b = y intercept.
we want to find the y intercept
-3 takes the spot of b therefore the y intercept is -3
Answer:y= -2/5x-3
Step-by-step explanation:
It's actually pretty simple, all you gotta do is flip the fraction around so if it is 5/2x now is 2/5, and then change the sign, since it was positive now it's negative
![\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{2}{ h},\stackrel{-1}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=2\\ k=-1 \end{cases}\implies y=a(x-2)^2-1 \\\\\\ \textit{we also know that } \begin{cases} y=0\\ x=5 \end{cases}\implies 0=a(5-2)^2-1\implies 1=9a \\\\\\ \cfrac{1}{9}=a\qquad therefore\qquad \boxed{y=\cfrac{1}{9}(x-2)^2-1}](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~%5Ctextit%7Bparabola%20vertex%20form%7D%20%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Bllll%7D%20%5Cstackrel%7B%5Ctextit%7Bwe%27ll%20use%20this%20one%7D%7D%7By%3Da%28x-%20h%29%5E2%2B%20k%7D%5C%5C%5C%5C%20x%3Da%28y-%20k%29%5E2%2B%20h%20%5Cend%7Barray%7D%20%5Cqquad%5Cqquad%20vertex~~%28%5Cstackrel%7B2%7D%7B%20h%7D%2C%5Cstackrel%7B-1%7D%7B%20k%7D%29%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20h%3D2%5C%5C%20k%3D-1%20%5Cend%7Bcases%7D%5Cimplies%20y%3Da%28x-2%29%5E2-1%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Bwe%20also%20know%20that%20%7D%20%5Cbegin%7Bcases%7D%20y%3D0%5C%5C%20x%3D5%20%5Cend%7Bcases%7D%5Cimplies%200%3Da%285-2%29%5E2-1%5Cimplies%201%3D9a%20%5C%5C%5C%5C%5C%5C%20%5Ccfrac%7B1%7D%7B9%7D%3Da%5Cqquad%20therefore%5Cqquad%20%5Cboxed%7By%3D%5Ccfrac%7B1%7D%7B9%7D%28x-2%29%5E2-1%7D)
now, let's expand the squared term to get the standard form of the quadratic.
Answer:
<u>Problem 4:</u> Option C, 32
<u>Problem 5:</u> You need to have the 2 and the x combine. Make the table 2x than 16.
<u>Problem 6:</u> x = 17
<u>Problem 7:</u> She drew a 2, x and an 16. Instead you must have 2x and 16. 2x + 16 = 50
Step-by-step explanation:
<u>Problem 4</u>
2 + x + 16 = 50
x + 18 - 18 = 50 - 18
x = 32
Answer: Option C, 32
<u>Problem 5</u>
You need to have the 2 and the x combine. Make the table 2x than 16.
Answer: You need to have the 2 and the x combine. Make the table 2x than 16.
<u>Problem 6</u>
2x + 16 - 16 = 50 - 16
2x / 2 = 34 / 2
x = 17
Answer: x = 17
<u>Problem 7</u>
She drew a 2, x and an 16. Instead you must have 2x and 16. 2x + 16 = 50
Answer: She drew a 2, x and an 16. Instead you must have 2x and 16. 2x + 16 = 50
The length of the fencing corresponds to the length of the perimeter of the garden:
We also know that the perimeter of a circle is given by:
where r is the radius of the circle.
Putting together the two equations, we have
from which we can find r, the radius of the garden:
