Answer:
y = -⅔x + ²²/₃
Step-by-step explanation:
1. Calculate the slope of EF
Assume E is at (-2, 5) and F is at (1, 3).
m₁ = (y₂ - y₁)/(x₂ - x₁) = (3 - 5)/(1 -(-2)) = -⅔
2. Calculate the slope of the parallel line
m₂ = m₁ = -⅔
3. Calculate its y-intercept
y = mx + b
6 =-⅔(2) + b
Simplify
6 = -⁴/₃ + b
Add ⁴/₃ to each side
b = 6 + ⁴/₃ = ¹⁸/₃ + ⁴/₃ = ²²/₃
The y-intercept is at (0,²²/₃).
4. Write the equation for the line
y = -⅔x + ²²/₃
The diagram shows EF in red. The parallel line in black passes through (2, 6) with a y-intercept at (0,²²/₃).
Answer:
(x,y,z) = (2,-2,1)
Step-by-step explanation:
Three equations with three variables are given. Take two equations at a time to eliminate one variable.
x + y - z = -1 .....(1)
4x -3y + 2z = 16 .....(2)
2x - 2y - 3z = 5 ......(3)
Solve (1) and (3) to eliminate z.
To do that multiply (1) by 2 and add (1) and (2). We get:
4x - 5z = 3 ......(4)
Now, solve (2) and (3) and subtract them. We get:
2x + 13z = 17 ......(5)
Solve (4) and (5). Multiply (5) by 2 and subtract. We get:
z = 1
Substituting z = 1, in (4) we get: x = 2.
Now to find y, substitute values of x and y in (1).
⇒ x + y - z = -1 ⇒ 2 + y - 1 = -1
⇒ y = -2
∴ Values of (x, y, z) = (2, -2, 1).
A 0 because you can not subtract 2-5 or the rest
Answer:
Ummm because its not a negative sign in front of it
Step-by-step explanation:
i d k t b h
Answer:
The Greatest Common Factor (GCF) for 56 and 84, notation CGF(56,84), is 28.
Step-by-step explanation:
The factors of 56 are 1,2,4,7,8,14,28,56;
The factors of 84 are 1,2,3,4,6,7,12,14,21,28,42,84.
So, as we can see, the Greatest Common Factor or Divisor is 28, because it is the greatest number that divides evenly into all of them.
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