Answer:
Step-by-step explanation:
Given
Passes through 
Perpendicular to 
Required
The line equation
First, we calculate its slope (m)
In , the slope is:
This is so because, the gradient intercept is:
By comparison, you have:
Since the required line and are perpendicular, then the slope (m2) is:
The equation is then calculated using:
Initial value: 1. rate of change: 3 over 5.
Answer:
2 1/15
Step-by-step explanation:
<em>Hey there!</em>
<em />
Well to multiply,
5 1/6 • -2/5,
we need to make 5 1/6 improper
31 * 2 = 62
6 * 5 = 30
Simplified,
2 1/15
<em>Hope this helps :)</em>
Answer:
$22.50
Step-by-step explanation:
Let's write what we know.
$10 a month bonus
+ $0.50 / per item of the month
$2 per compliment
We can write an equation:
T = Total bonus for the month
i = number of item of the month sales
c = number of compliments
T = $10 + $0.50i + $2c
i = 17
c = 2
Plug in the values:
T = $10 + $0.50i + $2c
T = $10 + $0.50( 17 )+ $2( 2 )
T = $10 + $8.50 + 4
T = $22.50
Her bonus for this month is $22.50
Answer:
3 seconds.
Step-by-step explanation:
Since we are figuring out when the water balloon will hit the ground, y will need to be equal to 0.
0 = - 16t² - 16t + 96
Now we simply factor the trinomial to find t.
0 = -16(t² - t - 6)
0 = (t - 3)(t + 2)
t - 3 = 0 ⇒ t = 3
t + 2 = 0 ⇒ t = -2
Since we are referring to time, we need to use the positive value. Therefore, the water balloon will take 3 seconds to hit the ground.
