Answer:
y – 3 = 2(x – 10)
Step-by-step explanation:
In point-slope form, the equation is written ...
y -k = m(x -h) . . . . . . . for line with slope m through point (h, k)
If only the slope changes, only the value just outside parentheses changes. When the point is (10, 3) and the new slope is 2, the new equation is ...
y -3 = 2(x -10)
Answer:
See Explanation
Step-by-step explanation:
Given
Base Dimension
![Length = 4\frac{1}{4}yd](https://tex.z-dn.net/?f=Length%20%3D%204%5Cfrac%7B1%7D%7B4%7Dyd)
![Width = 1\frac{2}{3}yd](https://tex.z-dn.net/?f=Width%20%3D%201%5Cfrac%7B2%7D%7B3%7Dyd)
Required
The base area of all containers
First, calculate the base area of 1 container.
This is calculated as:
![Area = Length * Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%2A%20Width)
![Area = 4\frac{1}{4}yd * 1\frac{2}{3}yd](https://tex.z-dn.net/?f=Area%20%3D%204%5Cfrac%7B1%7D%7B4%7Dyd%20%2A%201%5Cfrac%7B2%7D%7B3%7Dyd)
Express as improper fraction
![Area = \frac{17}{4}yd * \frac{5}{3}yd](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B17%7D%7B4%7Dyd%20%2A%20%5Cfrac%7B5%7D%7B3%7Dyd)
So, we have:
![Area = \frac{17*5}{4*3}yd^2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B17%2A5%7D%7B4%2A3%7Dyd%5E2)
![Area = \frac{85}{12}yd^2](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B85%7D%7B12%7Dyd%5E2)
The number of containers is not given. So, I will use 'n' as the number of containers.
So, we have:
![Total = n * Area](https://tex.z-dn.net/?f=Total%20%3D%20n%20%2A%20Area)
![Total= n * \frac{85}{12}yd^2](https://tex.z-dn.net/?f=Total%3D%20n%20%2A%20%5Cfrac%7B85%7D%7B12%7Dyd%5E2)
--------------------------------------------------------------------------------------------
Assume n is 3 (i.e. 3 containers)
The total area is:
![Total= 3 * \frac{85}{12}yd^2](https://tex.z-dn.net/?f=Total%3D%203%20%2A%20%5Cfrac%7B85%7D%7B12%7Dyd%5E2)
![Total= \frac{85}{4}yd^2](https://tex.z-dn.net/?f=Total%3D%20%5Cfrac%7B85%7D%7B4%7Dyd%5E2)
![Total= 21\frac{1}{4}yd^2](https://tex.z-dn.net/?f=Total%3D%2021%5Cfrac%7B1%7D%7B4%7Dyd%5E2)
--------------------------------------------------------------------------------------------
Answer:
Given:
The radius of a wheel =r=35 cm=0.35 cm.
The speed it must keep =s=66 km/h=
60
66×1000
m/min=1100 m/min
To find out:
The number of revolution =n, it makes per minute to maintain that speed.
Solution:
The circumference =C of the wheel =2πr=2×
7
22
×0.35 m=2.2 m=C
The distance the wheel covers in 1 min=d=1100 m.
Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.
∴ Here the number of revolution =n=
C
d
=
2.2
1100
=500.
Answer:
80 degrees i believe
Step-by-step explanation:
if supplementary angles =180 then 180-100=80
Answer:
C 2
Step-by-step explanation:
-3 doubled = -6
-6 +8 = 2 so C 2