Answer:
11. Slope of the line is 7/10.
12. Slope of the line is ![-\frac{1}{3}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
11. Given points are:
(-6, 1) and (4, 8)
Slope of a line is given by the formula;
m = ![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
m = ![\frac{8-1}{4-(-6)}](https://tex.z-dn.net/?f=%5Cfrac%7B8-1%7D%7B4-%28-6%29%7D)
m = ![\frac{7}{4+6}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B4%2B6%7D)
m = ![\frac{7}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B10%7D)
Slope of the line is 7/10.
12. Given points are:
(2, -3) and (5, -4)
Slope of the equation is;
m = ![\frac{-4-(-3)}{5-2}](https://tex.z-dn.net/?f=%5Cfrac%7B-4-%28-3%29%7D%7B5-2%7D)
m = ![\frac{-4+3}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-4%2B3%7D%7B3%7D)
m = ![\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%7D)
Hence,
Slope of the line is
.
Answer:
Average speed = 5.264 km/hr
Step-by-step explanation:
Distance to highschool = 3.29 km
Average speed = Distance covered ÷ time taken
Distance covered = distance to highschool and back = 3.29 + 3.29 = 6.58 km
time taken = 3:30 pm to 5:15 pm = 5:15 - 3:30 = 1 hr 15 mins
15 minutes = 15/60 hours = 0.25 hours
∴ time taken in hours = 1 + 0.25 = 1.25 hours
∴ Average speed = 6.58 ÷ 1.25 = 5.264 km/hr
Answer:
cos2q
Step-by-step explanation:
sin2q x cos2q/sin2q
= cos2q
-3x-2(5x-7)=-12
-3x-10x+14=-12
-12-14=-26
-3x-10x= -13x
So -13x=-26
x= 2
If the height does not change, the volume is just tripled.