Answer with Step-by-step explanation:
Let us assume the 2 consecutive natural numbers are 'n' and 'n+1'
Thus the product of the 2 numbers is given by
We know that the sum of 'n' consecutive natural numbers starting from 1 is
Thus from equation 'i' we can write
As we know that any number multiplied by 2 is even thus we conclude that the product of 2 consecutive numbers is even.
Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle, that is
sinXZY = =
=
, then
∠ XZY = (
) ≈ 23.6° ( to 1 dec. place )
we have
we know that
The x-intercept is the value of x when the value of the function is equal to zero
so
in this problem
Find the roots of the function
equate the function to zero
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
Square root both sides
therefore
<u>the answer is</u>
the x-intercepts are the points and