Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (8, - 1), thus
y = a(x - 8)² - 1
To find a substitute (0, - 17), the coordinates of the y- intercept into the equation.
- 17 = a(0 - 8)² - 1
- 17 = 64a - 1 ( add 1 to both sides )
- 16 = 64a ( divide both sides by 64 )
a = = -
y = - (x - 8)² - 1 → D
Answer:
The number of inch sections of a rope Mario can cut from the rope is <u>6</u>.
Step-by-step explanation:
Given:
Mario is setting up a new tent during a camping trip . The tent came with 7 feet of rope . The instructions are to use 34.5 inches of the rope to a tie the tent stakes in the ground . Mario will use all of the rope as instructed
Now, to write and solve equation to determine the number of 8 1/4 inch sections of a rope Mario can cut from the rope.
Let the number of sections be
The length of rope Mario can cut from the rope =
<em>Total length of rope = 7 feet.</em>
So, 1 feet = 12 inches.
<em>Thus, the length of rope in inches = 7 × 12 = 84 inches.</em>
The length of rope to tie the tent stakes in the ground = 34.5 inches.
According to question:
Now, to get the number of sections we put an equation:
<em>Dividing both sides by 8.25 we get:</em>
<em>The number of sections = 6.</em>
Therefore, the number of inch sections of a rope Mario can cut from the rope is 6.