Answer:
y = 2
Step-by-step explanation:
Calculate the slope m and equate to - 
m = 
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (8, y)
m = 
, that is
m = 
= -
Multiply both sides by 10 to clear the fractions
y - 4 = - 2 ( add 4 to both sides )
y = 2
The greatest common factor (GCF) is determined by finding the greatest factor that would simplify all the terms of the equation the most.
For the equation -2x³ - 4x² + 4x
The common factor for the coefficients -2, -4 and 4 is -2, since all of them are divisible by -2.
The common factor for the variables x³, x² and x is x, since all of them are divisible by x.
Then, the GCF would be -2x. We use this to simplify the equation:
-2x(x² + 2x -2)
The answer is at 7:12 a.m, did you get that?
The midpoint of the points ( 4, 5.5 ) and ( 4, 10.5 ) is the center of the circle:
C =
C = ( 4, 8 ), h=4, k=8
r =
r = 2.5
The equation of the circle in standard form:
( x - h )² + ( y - k )² = r²
( x - 4 )² + ( y - 8 ) = 6.25
1 1/9
To figure out how much walnuts to a pound of dried fruit you’d need to do proportions. So we cross multiply:
2/3 = X
—————- —————-
3/5 = 1
You multiply diagnols 2/3 x 1 = 2/3
3/5 times x is 3/5x.
2/3 = 3/5x. Isolate the variable. Divide 3/5 on both sides cancel out 3/5. 2/3 divide by 3/5 is 2/3 x 5/3 which is 10/9 which equals 1 1/9.
So for 1 lb of dried fruit you need 1 1/9 lb of walnuts to maintain the same mixture
