Answer:
84.85 feet or 60 feet.
Step-by-step explanation:
Given that:
Distance of paths between each pair of consecutive bases is 60 ft.
To find:
Distance that the ball needs to travel if it is thrown directly from home plate to second base?
Solution:
Actually the given problem can be mapped to a right angled triangle in which base and height are given to be equal to 60 ft (because each pair of consecutive bases are 60 ft apart), Plus, they are at right angles to each other.
So, kindly refer to the image attached.
AB and BC are the distance of paths between consecutive bases.
And we have to find AC.
We can use Pythagorean theorem to find out the Hypotenuse of the triangle.
According to Pythagorean theorem:
Hello,
2x^3+14x^2+6x+42=2x^2(x+7)+6(x+7)
=(x+7)(2x²+6)
=2(x+7)(x²+3) in IR.
or In C 2(x+7)(x-i√3)(x+i√3)
Answer:
a. (0, -3)
Step-by-step explanation:
Put in the inputs and outputs, and see if they come out true or false.
a.
x - 3y ≥ 4
0 - 3(-3) ≥ 4
0 + 9 ≥ 4
9 ≥ 4
True.
b.
x - 3y ≥ 4
0 - 3(5) ≥ 4
0 - 15 ≥ 4
-15 ≥ 4
False.
c.
x - 3y ≥ 4
-4 - 3(-1) ≥ 4
-4 + 3 ≥ 4
-1 ≥ 4
False.
d.
x - 3y ≥ 4
2 - 3(3) ≥ 4
2 - 9 ≥ 4
-7 ≥ 4
False.
2x2 - 4x- 3= 23
because after you add it all and do al of it thats what it comes up to
A function assigns the value of each element of one set to the other specific element of another set. The number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The exponential function that can be used to project the number of centenarians in a certain country is .
Now, the number of centenarians in the country in 2013 is,
Also, the number of centenarians in the country in 2038 is,
Hence, the number of centenarians in the country in 2013 is 9.4175×10⁴⁵.
Learn more about Function:
brainly.com/question/5245372
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