<u>Given</u>:
The given equation is 
We need to determine the exact solutions of the equation.
<u>Exact solution:</u>
The exact solution of the equation can be determined by solving the equation using quadratic formula,

From the equation the values are a = 1, b = -3 and c = -7
Thus, substituting these values in the equation, we get;



Thus, the exact solutions of the given equation is 
Hence, Option A is the correct answer.
(a) It is leaking 18 liters per minute.
Explanation : From 15 minutes to 20 minutes, your starting point at 15 is 590 liters and at 20 you have exactly 500. Next you have 25 which is now at 410. So it's leaking 90 liters every five minutes, so of course dividing the two (90 ÷ 5) you get 18.
(a)² it increases for about the same time that it would decrease of course.
(b) The vat started at 860 liters before they started draining it.
Explanation : Well, all it takes is just working backwards, add 90 liters to the liters at 15 minutes and deduct five minutes from 15. Do this process until you arrive at 0. It's simple
Answer:
The length of the longest side is 13mm
Step-by-step explanation:
Represent the two sides with a and b, where a is the longest


Required
Determine the length of the longest side
Perimeter of a kite is calculated as thus:

Make b the subject in 

Substitute a - 1 for b and 50 for Perimeter in 

Divide through by 2


Add 1 to both sides



Solve for a


<em>Hence, the length of the longest side is 13mm</em>
In this right triangle we have the opposite and adj which is tangent
tan 37=9/x
since we have the x in the bottom so we switch it with tan37
which is
x=9/tan 37
x=11.94340339
x=11.94
Answer:
<h2>x=(y-105)/7</h2>
Step-by-step explanation:
Given that the total time taken to practice is given by the expression as
y=7(15+x)
Simplifying the expression we have
y=105+7x
Solving for x (that is making x subject of formula we have)
7x=y-105
Divide both sides by 7 we have
x=(y-105)/7
Therefore the expression is
x=(y-105)/7