(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3
y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b
so ur equation is : y = 3x - 4
Answer:
Perimeter=100 area=688.19
Step-by-step explanation:
There's a big formula for area of pentagon and I pretty tired, so unless you want me to show my work I wont
Answer:
x=3. y=6
Step-by-step explanation:
So, to solve x and y, we need to take the equivelent sides of the two triangles, take their equations, and solve them.
So to find what x equals, we can take the 13, and make it equal to the 4x+1:
13=4x+1
Subtract the one from both sides:
12=4x
Divide both sides by 4:
3=x
Or
<u>x=3</u>
So we know the x value is 3.
Now lets solve for y using the bottom equations:
2x+y=8x-2y
Subtract 1y from both sides:
2x=8x-3y
Subtract 8x from both sides:
-6x=-3y
Divide both sides by -6:
x=1/2y
So we already know that x=3, lets plug that in for x, and solve for y:
3=1/2y
Or
1/2y=3
Multiply both sides by 2 to get 1y:
<u>y=6</u>
So we know that y is equal to 6.
Hope this helps!
Answer:
Step-by-step explanation:
4) d = 12 cm; r = 12/2 = 6cm ; h = 5 cm
S.A = 2πr(r + h)
= 2* 3.14 * 6 * (6 + 5)
= 2 * 3.14 * 6 *11
= 414.48 cm²
5) d = 8 cm ; r = 8/2 = 4cm ; h = 7cm
S.A = 2πr(r + h)
= 2 *3.14 * 4 * (4 + 7)
= 2 * 3.14 * 4 * 11
= 276.32 cm²
6) r = 4 cm ; h = 6cm
SA = 2πr(r +h)
= 2 * 3.14 * 4 * 10
= 251.2 cm²
7) Area of front and back = 
= base * height
SA = (front and back) + Base + left + right
= 4* 3 + (8*3) + (8*4) + ( 8*5)
= 12 + 24 + 32 + 40
= 108 cm²
8) SA = (front and back) + Base + left + right
= (8 * 6) + (12*6) + (12*8) + (12*10)
= 48 + 72 + 96 + 120
= 336 cm²
9) SA = (front and back) + Base + left + right
= (12 *5) + (8*5) + (8*12) +(8*13)
= 60 + 40 + 96 + 104
= 300 cm²
Answer:
1) Parellel because if she had sliced perpendicular, she would have gotten a square and a triangle.
2) Perpendicular because if she had sliced parallel, she would have gotten a (once more) square and a triangle.
1) First shape and Last shape (the cylinder and the cone).
2) First shape and Second shape (the pyramid and the cone).
1) This would be a cone - I included a picture of it.
2) This would be a triangular pyramid - I included a picture of it.