Answer:
D. (x – 3)^2 = 17
Step-by-step explanation:
We assume you want an equivalent to x^2 -6x = 8.
We can complete the square by adding the square of half the x-coefficient to both sides of the equation.
x^2 -6x +(-6/2)^2 = 8 +(-6/2)^2
(x -3)^2 = 17 . . . . simplify
Remember to incorporate Bimdas, into you calculation and ensure where the addition and subtraction occur you work from left to right.
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.
Answer:
No, it's not a solution.
Step-by-step explanation:
-2 + 4(3) = 4
-2 + 12 = 10
-2 + 3(3) = 1
-2 + 9 = 7
1) Look for factors that are common to the numerator & denominator
2) Cancel the common factor
3) If possible, look for other factors that are common to the numerator and denominator.
Hope this helps☺
Correct me if im wrong