Answer: 2y + 3x - 16 = 0
Step-by-step explanation:
Equation of the line is y = 2x/3 - 5
From the equation , the slope m₁ = 2/3. therefore recall, from condition for perpendicularity, m₁m₂ = -1
The product of their gradient must be (-1).
Now since m₁ = 2/3 and m₁m₂ =-1
2m₂/3 = -1
Therefore , m₂ = -3/2.
Since the equation passes through the coordinate of (6,-1)
we now substitute for x and y in the equation of a line to get the y intercept (c)
y = mx + c
-1 = -3x/2 +c
-1 = -3/2 x 6 + c
-1 = -9 + c
-1 + 9 = c
Therefore c = 8
Now to get the equation of line that is perpendicular to y = 2x/3 - 5
y = -3x/2 + 8
making it a linear equation,
2y = -3x + 16
2y +3x - 16 = 0
Answer:
(14/3)a - (3/2) units²
Step-by-step explanation:
Integrate the function
a(x^0.5) - 2(x^-2)
Add 1 to the power, divide by the new power
a(x^1.5)/1.5 - 2(x^-1)/-1
(2a/3)(x^1.5) + 2/x
Upper limit - Lower limit
[(2a/3)(4^1.5) + 2/4] - [(2a/3)(1^1.5) + 2/1]
= [16a/3 + 1/2] - [2a/3 + 2]
= 14a/3 - 3/2
= (14/3)a - (3/2) units²
Answer:
A wave period is the measure of the time it takes for the wave cycle to complete.
The period of the wave is 2 seconds.
Answer:
<h2>u = 2T - v</h2>
Cross multiply
We have
2T = u + v
u + v = 2T
Move v to the right side of the equation to make u stand alone
We have the final answer as
<h3>u = 2T - v</h3>
Hope this helps you
Julie : 5.62
Micah : 5.62 x 5 = 28.1
Jermy : 5.62 + 6.72 = 12.34
