It would be A
Explaination:Trust me I’m smart
Answer:
The other leg is 24 ft.
Step-by-step explanation:
49+x2=625. x2=576. x=±24→ Eliminate the -24 answer choice; a side length cannot be negative.
Given the vertex, (-4, 3):
We can use the quadratic function in vertex form, f(x) = a(x - h)^2 + k where:
(h, k) = vertex
a = determines whether the graph opens up or down, and makes the parent function wider or narrower.
* If a is positive, the graph opens up.
* If a is negative, the graph opens down.
h = determines how far left or right the parent function is translated.
k = determines how far up or down the parent function is translated.
Now that we defined each variable in the vertex form, we can plug in the values of the vertex (-4, 3) into the equation:
f(x) = a(x - h)^2 + k
f(x) = a(x + 4)^2 + 3
To solve for the value of “a”, we must choose another point from the graph. The y-intercept of the parabola happens to be (0, 19), so we’ll use its values to solve for “a”:
19 = a(0 + 4)^2 + 3
19 = a(4)^2 + 3
19 = a(16) + 3
Subtract 3 from both sides:
19 - 3 = a(16) + 3- 3
16 = 16a
Divide both sides by 16:
16/16 = 16a/16
1 = a
The value of a = 1. Since it is a positive number, then it confirms that the parabola opens upward.
Therefore, the quadratic function in vertex form is:
f(x) = (x + 4)^2 + 3
Please mark my answers as the Brainliest if you find this helpful :)
Answer:
The vertex of the graph of f(x) = |x - 13| + 11 is (13, 11).
Step-by-step explanation:
There is something called absolute value in the given function. It means two equations will result from it.
When 
the resultant equation is
- This will be the first equation
or
When 
the resultant equation is
- This will be the second equation.
The intersection of these lines will give the vertex as found by solving both equations at the same time.
_________
Replacing the value of 
for any one;
(first one)
(second one)
The vertex is (13, 11)
<span>So we need to find two square numbers whos sum is equal to 130. That question has more than one answer because we can choose any two real numbers whos squared values sum is 130. For this example we have 81 + 49 = 130 and we can write them like this: 9^2 + 7^2 = 130. So the two numbers whos square values sum is 130 are 9 and 7. </span>
