Answer:
u² + 2u + <u>1</u>
Step-by-step explanation:
In the question it's asking to find the the number in the blank to make the expression a perfect square.
Let the number in the blank be 'x'.
To guess 'x' , use the algebraic identity :- 
While matching the expression with identity , the expression will look like this :- <em>u² + 2ux + </em><u><em>x²</em></u>
In the expression given in the question , it's "2u" but after matching the expression with identity , it is found to be "2ux".
⇒ x = 1 (∵ If x will be 1 , then 2ux = 2×u×1 = 2u)
⇒ <u>x²</u> = <u>1</u>
∴ The number in the blank is 1.
-30-6r=36
We move all terms to the left:
-30-6r-(36)=0
We add all the numbers together, and all the variables
-6r-66=0
We move all terms containing r to the left, all other terms to the right
-6r=66
r=66/-6
r=-11
Answer:
Step-by-step explanation:
a) the equation representing the parabola is expressed as
h = -16t² - 4t + 20
c) to determine the height after 25 seconds, we would substitute 25 for t into the given equation. It becomes
h = -16(25)² - 4(25) + 20
h = - 10000 - 100 + 20
h = - 10080
d) when the coin lands on the ground, the height would be 0. Therefore,
-16t² - 4t + 20 = 0
Dividing both sides of the equation by 4, it becomes
- 4t² - t + 5 = 0
- 4t² - 5t + 4t + 5 = 0
- t(4t + 5) + 1(4t + 5) = 0
- t + 1 = 0 or 4t + 5 = 0
t = 1 or t = - 5/4
Since t cannot be negative, then t = 1 second
It might be 7ab
Hope this helps!
