Answer:
y = x +
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = = , thus
y = x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = + c ⇒ c = 6 - = =
y = x + ← equation of line
22 x 85 = (20+2)*85= 20*85+ 2*85 = 1700 + 170 = 1870
Answer:
1 m³
Step-by-step explanation:
first find volume of smaller cubes
V = lwh
S = 1/3*1/3*1/3
S = 1/27
find volume of large cube. there are 27 smaller cubes.
V = 27S
V = 27(1/27)
V = 1
S: volume of small cube
V: volume of large cube
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Mike age is 3 less then twice the age of his brother nuke.
M = Mike's age now
N = Nuke's age now
M = 2N - 3
Ten years ago, four times nuke's age was one more mike's age.
M-10 = Mike's age 10 years ago
N-10 = Muke's age 10 years ago
4(N - 10) = 1 + M -10
what are their present ages
find M and N
substitute M = 2N - 3 into 4(N - 10) = 1 + M -10:
4(N - 10) = 1 + [2N - 3] - 10
4N - 40 = 2N - 12
2N = 28
N = 14
M = 2(14) - 3 = 28 - 3 = 25
Mike is 25 and Nuke is 14.
check:
4(14 - 10) = 4(4) = 16 = 26 -10 = 1 + 25 - 10