Standard form is, hold a sec
x=2 is directix
that means it opens left or right
so we must use
(y-k)²=4p(x-h)
where vertex is (h,k) and p is distance from focus to vertex
also shortest distance from vertex to directix
the shortest distance from focus to directix is 2p
if p>0 then the parabola opens right
if p<0 then pareabola opens left
so
(-2,0) and x=2
the distance is 4
4/2=2
p=2
wait, positive or negative
focus is to the left of the directix so p is negative
p=-2
vertex is 2 to the right of the focus and 2 to the left of directix
vertex is (0,0)
so
(y-0)²=4(-2)(x-0) or
y²=-8x is da equation
not sure what form is standard tho
<span>5.32 to the nearest hundredth
= 5.32
hope that helps</span>
Y=2x^3 is nonlinear, since it's a cube equation. y=x+5 is linear, because it's a line with y intercept (0,-5) and slope 1. y=\sqrt(x-5) is nonlinear, because it's a quadratic equation when reversing x and y. 5x+5y=25 is equal to x+y=5 ot y=-x+5, which is also linear. y=x^2/2 is a quadratic equation, so it's nonlinear.
Answer:
The recipe calls for 19/12 or 1 7/9 cups.
Step-by-step:
In order to get this answer, we have to add all three fractions together. First, we have to find the LCM (Least Common Multiple) between the three denominators:
2: 2, 4, 6, 8, 10, 12
3: 3,6,9,12
4: 4,8,12
The LCM between these three denominators is 12.
4x3=12
2x6=12
3x4=12
You now multiply the numerator by the same number you multiplied by for the denominator in order to get 12:
3/4 becomes 9/12
1/2 becomes 6/12
1/3 becomes 4/12
We now add all the fractions together:
9/12+6/12+4/12= 19/12
We got 19/12 but the answer is an improper fraction so we turn it into a mixed number:
12x1=12 (7 remaining)
This is written as 1 7/12.
Hope this helps! :)
<h3>
CloutAnswers</h3>
Answer:
Step-by-step explanation:
............................................ (1)
............................................ (2)
now equate both (1) and (2)
![4+x=x^2+x-12](https://tex.z-dn.net/?f=4%2Bx%3Dx%5E2%2Bx-12)
![=>x^2=16](https://tex.z-dn.net/?f=%3D%3Ex%5E2%3D16)
![x=-4,4](https://tex.z-dn.net/?f=x%3D-4%2C4)
now substitute the values of x ,
when
, y becomes 0
when
, y becomes 8
so, solution set:
and ![(4,8)](https://tex.z-dn.net/?f=%284%2C8%29)