Half right. The discriminate is whats under the square root in the quadratic equation, so when it's negative you get 2 complex conjugate roots. It's the +/- before it that gives one root for + and one root for -
2 roots, non-real
No, the correct answer is H.(9 x 0.1) is .9, which would be letter H.
Answer:
10 miles per hour.
Step-by-step explanation:
Let x represent athlete's walking speed.
We have been given that her jogging rate is 5 mph faster than her walking rate, so athlete's jogging speed would be
miles per hour.
![\text{Distance}=\text{Rate}\cdot \text{Time}](https://tex.z-dn.net/?f=%5Ctext%7BDistance%7D%3D%5Ctext%7BRate%7D%5Ccdot%20%5Ctext%7BTime%7D)
10 minutes = 1/6 hour.
20 minutes = 1/3 hour
While walking, we will get ![D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}](https://tex.z-dn.net/?f=D_%7B%5Ctext%7Bwalking%7D%7D%3Dx%5Cfrac%7B%5Ctext%7Bmiles%7D%7D%7B%5Ctext%7Bhour%7D%7D%5Ccdot%20%5Cfrac%7B1%7D%7B3%7D%5Ctext%7Bhour%7D)
![D_{\text{walking}}=\frac{x}{3}](https://tex.z-dn.net/?f=D_%7B%5Ctext%7Bwalking%7D%7D%3D%5Cfrac%7Bx%7D%7B3%7D)
While jogging, we will get ![D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}](https://tex.z-dn.net/?f=D_%7B%5Ctext%7Bjogging%7D%7D%3D%28x%2B5%29%5Cfrac%7B%5Ctext%7Bmiles%7D%7D%7B%5Ctext%7Bhour%7D%7D%5Ccdot%20%5Cfrac%7B1%7D%7B6%7D%5Ctext%7Bhour%7D)
![D_{\text{jogging}}= \frac{(x+5)}{6}](https://tex.z-dn.net/?f=D_%7B%5Ctext%7Bjogging%7D%7D%3D%20%5Cfrac%7B%28x%2B5%29%7D%7B6%7D)
Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:
![\frac{x}{3}=\frac{x+5}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%3D%5Cfrac%7Bx%2B5%7D%7B6%7D)
Cross multiply:
![6x=3x+15](https://tex.z-dn.net/?f=6x%3D3x%2B15)
![6x-3x=15](https://tex.z-dn.net/?f=6x-3x%3D15)
![3x=15](https://tex.z-dn.net/?f=3x%3D15)
![\frac{3x}{3}=\frac{15}{3}\\\\x=5](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%3D%5Cfrac%7B15%7D%7B3%7D%5C%5C%5C%5Cx%3D5)
Therefore, athlete's walking speed is 5 miles per hour.
Jogging speed: ![x+5\Rightarrow 5+5=10](https://tex.z-dn.net/?f=x%2B5%5CRightarrow%205%2B5%3D10)
Therefore, athlete's jogging speed is 10 miles per hour.
Y=-1x+6
You need to use the slope formula to find the slope of the points, and then find the y-intercept.
Pi equals to the number 3.14