Answer:
Step-by-step explanation:
Answer: The losing candidate got 1240 and the winning candidate got 1560.
Step-by-step explanation:
First divide the number of votes by the number of people: 2800/2= 1400.
add 160 to one candidate and subtract 160 from the other.
Points (1, 7) and (-3, 2)
Slope for a line between (x₁, y₁) and (x₂, y₂) , m = (y₂ -y₁) / (x₂- x₁)
The slope for the line joining the two points = (2 - 7) / (-3 - 1) = -5/-4
Slope = 5/4
Hence the perpendicular bisector would have a slope of -1/(5/4) = -4/5
By condition of perpendicularity
For points (1, 7) and (-3, 2),
Formula for midpoints for (x₁, y₁) and (x₂, y₂) is ((x₁ +x₂)/2 , (y₁+ y₂)/2)
Midpoint for (1, 7) and (-3, 2) = ((1+ -3)/2 , (7+2)/2) = (-2/2, 9/2)
= (-1, 9/2)
Since the slope of perpendicular bisector is -4/5 and passes through the midpoint (-1, 9/2)
Equation y - y₁ = m (x - x₁)
y - 9/2 = (-4/5) (x - -1)
y - 9/2 = (-4/5)(x + 1)
5(y - 9/2) = -4(x + 1)
5y - 45/2 = -4x - 4
5y = -4x - 4 + 45/2
5y + 4x = 45/2 - 4
5y + 4x = 22 1/2 - 4 = 18 1/2
5y + 4x = 37/2
10y + 8x = 37
The equation of the line to perpendicular bisector is 10y + 8x = 37
Answer:
m<-2
Step-by-step explanation:
-4m-3.65>4.35
-4m>4.35+3.65
-4m>8
4m<-8 (the greater than or less than sign flips when you multiply or divide by the - sign)
m<-2 (divide both sides by 4)
Given :
The ratio of collectable cards Deshawn owns to cards that Stephanie owns is 5:2.
Stephanie has 36 cards.
To Find :
How will the ratio of Deshawn's cards to Stephanie's cards change if they both sell half there cards.
Solution :
Number of card Deshawn had, n = 5/2 × 36
n = 90 .
Number of card after they sell half there cards :
Therefore, new ratio is 
.
So, new ratio will be same.
