We know that in order to find the point (-3,-7), we must first go to the left on the x-axis 3 units from the origin, and then directly down on the y-axis 7 units. Using the attached image, we can see that this would then put us into the third quadrant or Quadrant III. Therefore, the answer is D) The point is in the third quadrant.
Answer:
10 km
Step-by-step explanation:
Running distance = 8 km
Sprinting distance = 0.5
Climbing distance = <u> 1.5 </u>
TOTAL = 10 km
Jamal travelled 10 km in total.
Answer: 36th customer.
Step-by-step explanation: 36 is divisible by both 9 and 12, and is the least common multiple.
Answer:
(-18,4) is 16 units below (-18,20). hope this helps
Step-by-step explanation:
- Zombie
![\bf f(x)=|x+2|\implies f(x)=\pm\sqrt{(x+2)^2}\implies f(x)=\left[ (x+2)^2 \right]^{\frac{1}{2}} \\\\\\ \cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{2}[(x+2)^2]^{-\frac{1}{2}}\cdot 2(x+2)^1\cdot 1}\implies \cfrac{dy}{dx}=[(x+2)^2]^{-\frac{1}{2}}(x+2) \\\\\\ \cfrac{dy}{dx}=\cfrac{x+2}{[(x+2)^2]^{\frac{1}{2}}}\implies \left. \cfrac{dy}{dx}=\cfrac{x+2}{\pm \sqrt{(x+2)^2}} \right|_{x=1}\implies \cfrac{3}{\pm 3}](https://tex.z-dn.net/?f=%5Cbf%20f%28x%29%3D%7Cx%2B2%7C%5Cimplies%20f%28x%29%3D%5Cpm%5Csqrt%7B%28x%2B2%29%5E2%7D%5Cimplies%20f%28x%29%3D%5Cleft%5B%20%28x%2B2%29%5E2%20%5Cright%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Cstackrel%7Bchain~rule%7D%7B%5Ccfrac%7B1%7D%7B2%7D%5B%28x%2B2%29%5E2%5D%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%5Ccdot%202%28x%2B2%29%5E1%5Ccdot%201%7D%5Cimplies%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5B%28x%2B2%29%5E2%5D%5E%7B-%5Cfrac%7B1%7D%7B2%7D%7D%28x%2B2%29%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Ccfrac%7Bx%2B2%7D%7B%5B%28x%2B2%29%5E2%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%5Cimplies%20%5Cleft.%20%5Ccfrac%7Bdy%7D%7Bdx%7D%3D%5Ccfrac%7Bx%2B2%7D%7B%5Cpm%20%5Csqrt%7B%28x%2B2%29%5E2%7D%7D%20%5Cright%7C_%7Bx%3D1%7D%5Cimplies%20%5Ccfrac%7B3%7D%7B%5Cpm%203%7D)
check the picture below. the point 1,3 is on the increasing slope side, so will be 3/3 or 1.
