<span>The general form of quadratic equation with real
coefficients and leading coefficient 1, has x = -bi as a root
=> x = <u>-b + </u></span><u>√ b^2 – 4 ac</u><span>
2a
It is also written as:
=> ax^2 + bx + c = 0
Quadratic equation involves unknown numbers which is x, the numbers which a, b
and c are called coeffecients.
There are also quadratic factorization where you factor the polynomial give to
be able to get the value of the equation.</span>
<h2>
Answer:</h2>
![\boxed{R_{4}=20\Omega}](https://tex.z-dn.net/?f=%5Cboxed%7BR_%7B4%7D%3D20%5COmega%7D)
<h2>
Step-by-step explanation:</h2>
If resistors are in series, so the current
is the same in all of them. In this problem we have four resistors. So, we can get a relationship between the Equivalent resistance of series combination and the four resistors as follows:
![R_{eq}=R_{1}+R_{2}+R_{3}+R_{4}](https://tex.z-dn.net/?f=R_%7Beq%7D%3DR_%7B1%7D%2BR_%7B2%7D%2BR_%7B3%7D%2BR_%7B4%7D)
is the total resistance
. Moreover:
![R_{1}=5\Omega \\ R_{2}=10\Omega \\ R_{3}=15\Omega](https://tex.z-dn.net/?f=R_%7B1%7D%3D5%5COmega%20%5C%5C%20R_%7B2%7D%3D10%5COmega%20%5C%5C%20R_%7B3%7D%3D15%5COmega)
Therefore:
![50=5+10+15+R_{4} \\ \\ R_{4}=50-(5+10+15) \\ \\ R_{4}=50-30 \\ \\ \boxed{R_{4}=20\Omega}](https://tex.z-dn.net/?f=50%3D5%2B10%2B15%2BR_%7B4%7D%20%5C%5C%20%5C%5C%20R_%7B4%7D%3D50-%285%2B10%2B15%29%20%5C%5C%20%5C%5C%20R_%7B4%7D%3D50-30%20%5C%5C%20%5C%5C%20%5Cboxed%7BR_%7B4%7D%3D20%5COmega%7D)
L = 50 yards or 150 feet W = 20 yards or 60 feet H = 9 feet V = 150 * 60 * 9 V = 81000 cubic feet then multiply the volume, 81000, by 7.5, or 607,500 gallons.
hope i helped
It’s the second one. -4(3-8x)
300miles/20sec=?miles/1min
900miles/60sec=?miles/1min
900miles/1min=?miles/min
?=900 miles