Answer:
2
Step-by-step explanation:
Slope (m) is equal to the change in the y-coordinate divided by the change in the x-coordinate.
The change in y= 6
The change in x= 3
6/3 =2
Answer:
Step-by-step explanation:
1)
Tri. prism:
B = base = 1/2 a c
base = 1/2 * 6 * 6 = 18
volume = Bh
v = 18*4
v = 72
Rec. prism
volume = 4*6*6
v = 144
total volume = 144+72
vt = 212
2)
top rec. = 2*3*5=30
bot rec. = 4*5*6=120
vt = 30 + 120
vt = 150
Answer:
x = 1, y = 2, z = -1
Step-by-step explanation:
2x + 4y = 10
2x = -4y + 10
x = -2y + 5
now sub -2y + 5 in for x, back into the other 2 equations
2x + 2y + 3z = 3 -3x + y + 2z = -3
2(-2y + 5) + 2y + 3z = 3 -3(-2y + 5) + y + 2z = -3
-4y + 10 + 2y + 3z = 3 6y - 15 + y + 2z = -3
-2y + 3z = 3 - 10 7y + 2z = - 3 + 15
-2y + 3z = - 7 7y + 2z = 12
-2y + 3z = -7....multiply by 2
7y + 2z = 12...multiply by -3
--------------------------
-4y + 6z = -14 (result of multiplying by 2)
-21y - 6z = -36 (result of multiplying by -3)
---------------------------add
-25y = - 50
y = -50/-25
y = 2 <===
2x + 4y = 10 2x + 2y + 3z = 3
2x + 4(2) = 10 2(1) + 2(2) + 3z = 3
2x + 8 = 10 2 + 4 + 3z = 3
2x = 10 - 8 6 + 3z = 3
2x = 2 3z = 3 - 6
x = 2/2 3z = -3
x = 1 <== z = -3/3
z = -1 <===
