Question

Next, use the given point, (29/10,7/2) to determine the value of a. Substitute the x- and y-coordinates of the point into the equation.

7/2=a(. -3)² +

Simplify the coefficient of a.
7/2=(. )a+

Move constant terms to the left side of the equation and combine.
-3/2=( )a

Solve for a.
=a

Answer 1

Let's work through the problem step by step.

Given equation: 7/2 = a(-3)²

First, simplify the right side of the equation by squaring -3:

7/2 = a * 9

Now, to solve for 'a', divide both sides of the equation by 9:

(7/2) / 9 = a * (9 / 9)

On the left side, simplify the fraction:

(7/2) / 9 = (7/2) * (1/9) = 7/18

So, the equation becomes:

a = 7/18

Therefore, the value of 'a' is 7/18 when using the given point (29/10, 7/2) in the equation.

Explanation:

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