Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
m∠3 = 105°
Step-by-step explanation:
Line 'l' is parallel to line 'm' and a transversal is intersecting these parallel lines at two distinct points.
m∠3 + m∠6 = 180° [Consecutive interior angles]
Since, ∠6 = 75° [Given]
m∠3 + 75° = 180°
m∠3 = 180 - 75
= 105°
Therefore, measure of ∠3 is 105°.
13.5 = 30% of 45
4.5 = 15% of 30
4.6 = 23% of 20
4.2 = 60% of 7
Hope this helps!!
Answer:
All real numbers between 0 and 6
Step-by-step explanation:
We know, the function represents 'the amount of water in the pool until it is full'.
That is, 'It is a function of time giving the value of amount of water in the pool until it is full'.
So, we get that,
The domain is representing the time in which the pool is filled completely.
As, we are given that,
Maximum time taken to completely fill the pool = 6 hours.
So, the domain of the functions is 'All real numbers between 0 and 6'.
Answer:
THE ANSWER IS TRUE
Step-by-step explanation:
