2. = 16
3. = x + 10y
4. sry, I don't know this one :(
5. = 14
Hope this helps!!!
Answer:
![\[y=-\frac{1}{2}x+\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B%5Cfrac%7B5%7D%7B2%7D%5C%5D)
Step-by-step explanation:
Equation of the given line: ![\[y=2x-3\]](https://tex.z-dn.net/?f=%5C%5By%3D2x-3%5C%5D)
Slope of the line = ![\[2\]](https://tex.z-dn.net/?f=%5C%5B2%5C%5D)
Slope of the perpendicular line = ![\[-\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5B-%5Cfrac%7B1%7D%7B2%7D%5C%5D)
So the equation of the perpendicular line:
![\[y=-\frac{1}{2}x+c\]](https://tex.z-dn.net/?f=%5C%5By%3D-%5Cfrac%7B1%7D%7B2%7Dx%2Bc%5C%5D)
This passes through the point (-1,2).Substituting in the equation:
![\[2=-\frac{1}{2}*(-1)+c\]](https://tex.z-dn.net/?f=%5C%5B2%3D-%5Cfrac%7B1%7D%7B2%7D%2A%28-1%29%2Bc%5C%5D)
=> ![\[c=2+\frac{1}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D2%2B%5Cfrac%7B1%7D%7B2%7D%5C%5D)
=> ![\[c=\frac{5}{2}\]](https://tex.z-dn.net/?f=%5C%5Bc%3D%5Cfrac%7B5%7D%7B2%7D%5C%5D)
So the equation of the line :
Answer:
Below.
Step-by-step explanation:
a. Volume = area of triangular side * length
1/2 * 3 * 4 * 8
= 48 cm^3.
Surface area = 2 * area of the triangle + area of sloping side+ area of the base + area of the back side
= 2 * 1/2 * 3*4 + 5*8 + 3*8 + 4*8
= 12 + 40 + 24 + 32
= 108 cm^2.
b. Volume = area of the triangular side * length
= 1/2 * 5.0 * 5..0 * 8.2
= 12.5 * 8.2
= 102.5. cm^3.
Surface area = 2 * area of the triangle + 2 * area of a sloping side + area of the basee
= 2 * 1/2 * 5^2 + 2 * 5 * 8.2 + 8.2 * 7.1
= 25 + 82 + 58.22
= 165.22 cm^2.
All you need to do is divide 1000 by 4 which is 250 :)
Step-by-step explanation:
Is this meant to be a question?
