Look at the picture.
The point-slope form:
![y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29%5C%5C%5C%5Cm%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points (-3, -3) and (2, 0). Substitute:
![m=\dfrac{0-(-3)}{2-(-3)}=\dfrac{3}{5}\\\\y-0=\dfrac{3}{5}(x-2)\qquad|\text{use distributive property}\\\\y=\dfrac{3}{5}x-\dfrac{6}{5}\qquad|\cdot5\\\\5y=3x-6\qquad|-5y\\\\0=3x-5y-6\qquad|+6\\\\3x-5y=6](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B0-%28-3%29%7D%7B2-%28-3%29%7D%3D%5Cdfrac%7B3%7D%7B5%7D%5C%5C%5C%5Cy-0%3D%5Cdfrac%7B3%7D%7B5%7D%28x-2%29%5Cqquad%7C%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5Cy%3D%5Cdfrac%7B3%7D%7B5%7Dx-%5Cdfrac%7B6%7D%7B5%7D%5Cqquad%7C%5Ccdot5%5C%5C%5C%5C5y%3D3x-6%5Cqquad%7C-5y%5C%5C%5C%5C0%3D3x-5y-6%5Cqquad%7C%2B6%5C%5C%5C%5C3x-5y%3D6)
Answer:
point-slope form: ![y=\dfrac{3}{5}(x-2)](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B5%7D%28x-2%29)
slope-intercept form: ![y=\dfrac{3}{5}x-\dfrac{6}{5}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B3%7D%7B5%7Dx-%5Cdfrac%7B6%7D%7B5%7D)
standard form: ![3x-5y=6](https://tex.z-dn.net/?f=3x-5y%3D6)
Answer:
52 miles per hour.
Step-by-step explanation:
Divide 234 by 4.5, as that is what you must divide 4.5 by to get 1.
234/4.5 = 52 miles per hour.
12(0.57)= 6.84
10-6.84= 3.16
Mr. Turner’s change is $3.16.
Hope this helps!
Answer:
C. ![132m^3](https://tex.z-dn.net/?f=132m%5E3)
Step-by-step explanation:
Height = 4
Length = 6
Breadth = 7
Note : We were asked to find volume of the cuboid
Since, it has a base in the shape of a right angle triangle , we need to find the Area of the trapezium before calculating the total volume.
Step 1
Find the area of the trapezium
Area of a trapezium = ![\frac{1}{2} (a+b)h](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%28a%2Bb%29h)
![\frac{1}{2} (4+7)*4](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%284%2B7%29%2A4)
![\frac{1}{2} (11)4\\](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2811%294%5C%5C)
![\frac{1}{2} *44\\= 22](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%2A44%5C%5C%3D%2022)
Step 2
Calculate the volume of the cuboid
Volume of a cuboid =length× breadth × height
In this case , the volume will be our length × Area of a trapezium
V= 6 × 22
V = ![132m^3](https://tex.z-dn.net/?f=132m%5E3)