Answer:
D. The axis of symmetry is the y-axis.
Step-by-step explanation:
The vertex is at coordinates (0, 3). Since this parabola opens vertically, its axis of symmetry is the x=coordinate of the vertex: x = 0. That is the equation of the y-axis.
The axis of symmetry is the y-axis.
I'm assuming you meant to write a^4 = 625.
If that is the case, then note how 625 = 25^2, and how a^4 is the same as (a^2)^2
So we go from this
a^4 = 625
to this
(a^2)^2 = 25^2
Apply the square root to both sides and you'll end up with: a^2 = 25
From here, apply the square root again to end up with the final answer: a = 5 or a = -5
As a check:
a^4 = (-5)^4 = (-5)*(-5)*(-5)*(-5) = 25*25 = 625
a^4 = (5)^4 = (5)*(5)*(5)*(5) = 25*25 = 625
Both values of 'a' work out
Well, 4.2 divided by 8.19 = 0.51282051282 But if you switch it to 8.19 divided by 4.2 that would equal 1.95
Hope I helped!
- Debbie <span />
Using the <em>system of equation</em> created, Emily will catch up Lucy after 30 seconds
Given the Parameters :
- Lucy's distance = 2t
- Emily's distance = 5t
<u>We can set up an equation to represent the required scenario thus</u> :
Emily's distance = Lucy's distance + 90
5t = 2t + 90
We solve for t
<em>Collect like terms</em> :
5t - 2t = 90
3t = 90
Divide both sides by 3 to isolate t
t = 90/3
t = 30
Therefore, Emily will catch up with Lucy after 30 seconds
Learn more :brainly.com/question/13218948
Answer:
The answer to your question is: y = -3x + 14
Step-by-step explanation:
Data
A (4, 2)
y = x/3 - 1
Perpendicular
original slope = 1/3
perpendicular slope = -3
Equation (y - y1) = m(x - x1)
(y - 2) = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 12 + 2
y = -3x + 14
