Let the numbers be x and y
x= y-2.... (1)
and, 2y = 16 + 4x.... (2)
putting the value of x from (1) in (2),
2y = 16 + 4x
=> 2y = 16 + 4(y-2)
=> 2y = 16 + 4y - 8
=> 2y = 8 + 4y
=> 2y - 4y = 8
=> -2y = 8
=> y =-8/2
=> y= -4
and x = -4-2 = -6
hence , in short the numbers are -2 and -4
Answer:
no angle c is not supplementary
Step-by-step explanation:
Angle A and angle B are supplementary
A+B=180° Equation 1
The measure of angle B is equal to four times the complement of angle A
The complement of angle A=90°-A
B=4(90°-A)
B=360°-4A
Substitute the value of B in equation 1
A+360°-4A=180°
-3A=-180°
A=60°
The measure of angle A=60°
B=360°-4A=360°-4(60°)=120°
The measure of angle B=120°
Example: 2x+2y=8 and 3y+2x=6
Okay so u first want to put on of the equations into a y= form. So let's use 3y+2x=6. Subtract 2x from both sides. 3y=6-2x divide by 3. Y= 6-2/3x or y= -2/3x + 6. Now just plug this new equation in for Y since "y=" into the other equation.
2x + 2(-2/3x + 6) = 8.
Then you would distribute the 2 into the parenthesis and simplify to solve for x.
After you solve for x, plug x into one of the original equations to find y.
Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
Answer:
b = (a/16) - 4
Step-by-step explanation:
a = 16(b + 4)
a = 16b + 64
16b + 64 = a
16b = a - 64
16b/16 = (a/16) - 64/16
b = (a/16) - 4
