The answer would be 30 over 4
Answer:
-1 or 4
Step-by-step explanation:
f(x) = g(x)
-x^2 + 4x + 12=x + 8
-x^2+3x+4=0
(x+1)(x-4)=0
x=-1,x=4
The expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2
Given that the softball diamond is square in shape.
Let the side of the square i.e. distance between consecutive bases is x
The distance from the 1st base to the 3rd base creates the hypotenuse of a right triangle, where each side is equal to x i.e. x is the side length of the square formed by the baseball diamond.
Using the Pythagorean theorem we have:
x² +x²= c²,
where c is the distance from the 1st base to the 3rd base.
Combining similar terms gives us
2x²=c²
Taking the square root of both sides we have
√2x²= √c²
⇒x√2=c
⇒c=x√2
This is the expression for the distance from the 1st base to the 3rd base in terms of side length.
Therefore the expression for the distance from the 1st base to the 3rd base in terms of side length will be c=x√2.
Learn more about the Pythagorean theorem
here: brainly.com/question/231802
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H'=-32t+96
0=-32t+96
-96=-32t
3=t
3 seconds
H=-16t^2+96t+3
H=48^2+288+3
H=48^2+291
<h2>
Hello!</h2>
The answer is:
The total area is:

<h2>
Why?</h2>
To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.
We know that the diameter of each sphere is 7 centimeters, so, calculating we have:
Calculating the radius we have,

Then, calculating the area, we have:


Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.
So, calculating we have:

Hence, the total area is:

Have a nice day!