Where the line segment A starts is home
Answer:
Step-by-step explanation:
For f(3), the input for the function f(x) is 3.
Let x (input) = 3.
Answer:
B. 90 + 90 √2
Step-by-step explanation:
From first base to the second base, it will travel 90 feet.
From the second base to the home plate, it will travel a longer distance. How much? Well, if you look at the layout of the field, you'll see that if you draw a line from second base to the home plate, you'll form two rectangular triangles, one with the 1st base, another one with the 3rd base.
The line from the 2nd base to home plate is the hypotenuse, which we can easily find by:
h²=90² + 90²
h = √(2 * 90²)
h = 90 √2
So, from second base to home plate, the ball has traveled 90 √2
Overall: 90 + 90 √2
Your equation: 4x² - 100 = 0
Factor the left side: (2x + 10) · (2x - 10) = 0
This equation is true if either factor is zero.
-- One factor: 2x + 10 = 0
Divide each side by 2: x + 5 = 0
Subtract 5 from each side: x = -5 .
-- The other factor: 2x - 10 = 0
Divide each side by 2: x + 5 = 0
Add 5 to each side: x = 5 .
