4 years ago

I need help with these word problems

1 answer:

8 0

Isabelle has a leash for her dog in the backyard. The leash is attached to a post which allows thedog to travel in a circle around the post. The leash is 3 feet long. How much of the yard can thedog reach while on the leash?

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Mama L [17]

Answer:

x = 3

Step-by-step explanation:

j(x) = 4/5(-5) + 7

= -4 + 7

= 3

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3 years ago

the graph of the function f(x) = ax^2 + bx + c (where a, b, and c are real and non zero) has two x- intercepts. explain how to f

Dovator [93]

The vertex of the parabola is given by :

$\displaystyle{ ( \frac{-b}{2a}, f(\frac{-b}{2a}) )$ .

So, $\displaystyle{ \frac{-b}{2a}$ is the first coordinate of the vertex, which means it is also the point where the line of symmetry passes.

The line of symmetry divides the parabola into 2 symmetrical parts: the x-intercepts are also symmetrical to each other with respect to this line.

So, if one of the x-intercepts is $\displaystyle{ (\frac{-b}{2a}+3, 0)$ , that is 3 units to the right of the x-intercept, the other must be 3 units to the left. Thus, the second x-intercept is :

Answer: $\displaystyle{ (\frac{-b}{2a}-3, 0)$ ,