Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Multiply 1/5 and 1/4 so that everything has a common denominator of 200.
1/5*40/40 = 40/200
1/4*50/50 = 50/200
Btw I’m not 100% confident in this answer.
There is a open circle over 7 in the x-axis b cause it is not greater than and less than 7
Answer:
x=10
Step-by-step explanation:
BD/CD=AB/AC
x+4/2x+1=8/12
12(x+4)=8(2x+1)
12x+48=16x+8
12x+48-8=16x+8-8
40=4x
40/4=4x/4
10=x
Hope this helps! ;)