Volume is length x width x height.
A cube has the same length, width and height.
The volume of the cube is 2 x 2 x 2 = 8cm
Answer: 8 cm
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Answer:
(1.8, -2.6) and (-1, 3)
Step-by-step explanation:
From the first equation
Applying to the second equation
Solving the equation we get
At x = 1.8
Applying in first equation
At x = -1
Applying in first equation
∴ The circle and line intersect at points (1.8, -2.6) and (-1, 3)
Answer:
5 in.
Step-by-step explanation:
The ratio of map distance to real distance is 1 in : 3 km meaning that 1 inch on the map describes 15 km in real life.
15 km is 5 times 3 km, so the map distance is 5 times 1 in., or 5 in.
1 in. x 5 : 3 km x 5
This is a "school math" problem where things come out nicely! Another way to look at this is with equivalent fractions.
"cross multiply"
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
