Answer:
The vertex form of the equation is 
.
Step-by-step explanation:
You will use the equation 
to solve this parabola. (h, k) is the vertex. So, we plug this into the equation to get 
.
Then, we substitute the point as our x and y to get 
(a lot of simplifying was done here). Then, add 2 to the right side of the equation and isolate the 
to get 
. Finally, divide by 9 on both sides to get 
.
Now, substitute your 
back into the equation to get y = 
.
This is in vertex form. If the answer is needed in standard form, simply distribute and simplify to get 
.
Answer:
9 white ribbons were awarded
Step-by-step explanation:
make white x
make blue b and make red r
b=x-1
r=x+3
w=x
add them up
x-1+x+3+x=29
x-1 +x+3 is 2x+2
2x+2+x=29
3x+2=29
subtract 2 on both sides
3x=27
divide by 2
x=9
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The length of Jk can be either 10 or 26.
<h3>What is a rectangle?</h3>
A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.
Since in a rectangle the opposite sides are equal, therefore, the sides NM and JK will be equal.
JK = MN
8x - 14 = x² + 1
0 = x² - 8x + 15
x = 5, 3
Hence, the length of Jk can be either 10 or 26.
The complete questions are:
Quadrilateral JKMN is a rectangle, if NM= 8x - 14 and JK= x squared + 1, find JK.
Learn more about Rectangle:
brainly.com/question/15019502
#SPJ1
