Answer:
The quadratic equation in terms of v is v² + 2 v + 180 = 0
Step-by-step explanation:
Given as :
The distance between house to the school = d = 6 km
The uniform speed = v km/h
So, Time = 
or, t = 
Or, t = 
<u>Now, Again</u>
The speed is increase by 2 km/h
i.e speed = (v + 2) km/h
So, Time taken = t' = (t - 
)hours
i.e t' = (t - 
)hours
Now, Time =
So, (t - ) =
Or, (t - ) = 
Or , - =
Or , 
= 
Or, (90 - v) × (v + 2) = 6 × 15 v
Or, 90 v - 180 - v² - 2 v = 90 v
Or, v² + 2 v + 180 = 90 v - 90 v
Or, v² + 2 v + 180 = 0
So, The quadratic equation in terms of v
v² + 2 v + 180 = 0
Hence The quadratic equation in terms of v is v² + 2 v + 180 = 0 Answer
Answer:
44 and 110
Step-by-step explanation:
The ratio of the 2 numbers = 2 : 5 = 2x : 5x ( x is a multiplier ) , thus
difference = 5x - 2x = 3x , then
3x = 66 ( divide both sides by 3 )
x = 22
Thus
2x = 2 × 22 = 44
5x = 5 × 22 = 110
The 2 numbers are 44 and 110
Answer:
y = 1500 * 1.09^t
Step-by-step explanation:
It should be clear that the rate of change is non-linear, meaning that we can express the function in the following manner
y = a * b^t, where a is the initial value and b is the rate of change and t is how many years.
Well, year 0 is the rate of change so we can say that a = 1500
Next, we divide any two consecutive year balances to find our rate of change:
1635/1500 = 1.09
Therefore, our equation looks like this: y = 1500 * 1.09^t
Put x on one side of the equation
6x=(76+22)
6x=98
x=98/6
Simplify
x=49/3
Answer:
76 degrees
Step-by-step explanation:
find angle 5 by subtracting 76 from 180 to get 104 degrees
the find angle 7 by subtracting 104 from 180 to get 76
180-76 =104
180-104=76
