Answer:
one solution.. your answer is correct
Step-by-step explanation:
discriminate = 900 - (4*9*25) = 0
thus only one solution
Answer:
The answer is F: 108
Step-by-step explanation:
144 - 108 = 36
108 ÷ 3 = 36
Answer:
![9x+5y=-20](https://tex.z-dn.net/?f=9x%2B5y%3D-20)
Step-by-step explanation:
![y = \frac{5}{9} x - 4](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B5%7D%7B9%7D%20x%20-%204)
compare with that y=mx+c
where m=slope .
So after comparing we get m=![\frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
As the lines are perpendicular
![m1*m2=\ -1](https://tex.z-dn.net/?f=m1%2Am2%3D%5C%20-1)
![m2 \ =\ \frac{-1}{m1}](https://tex.z-dn.net/?f=m2%20%5C%20%3D%5C%20%5Cfrac%7B-1%7D%7Bm1%7D)
therefore m2=![\frac{-9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%7D%7B5%7D)
Now from the equation
this equation passing to the point (-5,5) with m=![\frac{-9}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B-9%7D%7B5%7D)
![y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20](https://tex.z-dn.net/?f=y-5%3D%5Cfrac%7B-9%7D%7B5%7D%20%28x%2B5%29%5C%5C5y-25%3D-9x%5C%20-45%5C%5C9x%2B5y%3D-20)
Therefore equation is
![9x+5y=-20](https://tex.z-dn.net/?f=9x%2B5y%3D-20)
Add everything up together it equals 6/10 in simplest form it would be 3/5
Answer:
k = 13 The smallest zero or root is x = -10
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Work Shown:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+10 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
Hope this was Right