I think it’s B might be wrong though
Answer:
- first number = 89
- second number = 534
- third number = 189
Step-by-step explanation:
Let the first number be x
Given second number is 6 times a first number.
If first number is x then second number is 6*x = 6x
Given third number is 100 more than the first number
If first number is x then third number is x+100 = x+100
Sum of these three numbers in terms of x
is
sum = x+ 6x+x+100 = 8x+100 __________1
Given, that sum of these numbers is 812.
equating 812 with equation 1 we have,
8x+100 = 812
=> 8x = 812- 100
=> 8x = 712
=> x = 712/8 = 89.
Therefore,
first number = x = 89
second number = 6x = 89*6= 534
third number = x+100 = 89+100 = 189
Answer:
(14 , -7)
Step-by-step explanation:
terminal points: A (-6,3) B (4,-2)
u = x₁ + i y₁ u = -6 + i3
v =x₂ + iy₂ = 4 - i2 2v = 8 - i4
2v - u = (8 - i4) - (-6 + i3) = 14 -i7
Resulting terminal point: (14 , -7)
Number = -14
(-14)+(-6)=-8
(-8)*(-3)=24
Answer:
y = 0
Step-by-step explanation:
A parallelogram is a quadrilateral with opposite sides parallel. Then segment CD must be parallel to AB, and CB must be parallel to DA. Two different segments are parallel if they have the same slope.
slope of DA = (yA - yD)/(xA - xD) = (4 - 2)/(1 - (-1)) = 1
slope of CB = (yB - yC)/(xB - xC) = (2 - yC)/(1 - (-1)) = 1
(2 - yC) = 2 * 1
2 - 2 = yC
0 = yC
Note: coordinates of A are (xA, yA), of B are (xB, yB), of C are (xC, yC) and of D are (xD, yD)
