Answer:
36
Step-by-step explanation:
Here is the correct and complete question: The units digit of a two-digit number is twice the tens digit. If the digits are reversed, the new number is 9 less than twice the original number. What is the original number?
Lets assume the original number be"10y+x". (x is unit digit and y is 10th digit)
∴ if number is reversed then resulting number be "10x+y".
As given: x= 2y
and 
Now, solving the equation to get original number.
Distributing 2 to 10y and x, then opening the parenthesis.
⇒ 
subtracting by (2x+y) on both side.
⇒ 
subtituting the value of "x", which is equal to 2y.
∴ 
⇒ 
subtracting both side by (16y-9)
⇒ 
cross multiplying
We get, 
y=3
∵x= 2y
∴ x= 6
Therefore, the original number will be 36 as x is the unit number and y as tenth number.
Step-by-step explanation:
1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
I'll do #2 and #3 as examples.
2. x = (-4 + 10) / 2 = 3
y = (6 + -10) / 2 = -2
So the midpoint is (3, -2).
3. x = (-3 + -6.5) / 2 = -4.75
y = (-8 + -4.5) / 2 = -6.25
So the midpoint is (-4.75, -6.25).
Answer:
7
Step-by-step explanation:
hi , you can see here we have a rectangle without a triangle :
area rectangle - area triangle = area of the shape
Area of the triangle= L x l
=4 x 2
=8
Area of the triangle = 
=
=1
So we do : 8 - 1 = 7
I hope it is gonna be helpful,
have a nice day.
One of the lines passes through points (0, 6) and (-4, 3). Hence the equation is given by:
(y - 6)/(x - 0) = (3 - 6)/(-4 - 0)
(y - 6)/x = -3/-4 = 3/4
4(y - 6) = 3x
4y - 24 = 3x
3x - 4y = -24
The other line passes through points (0, -3) and (1, 0). Hence the equation is given by:
(y - (-3))/(x - 0) = (0 - (-3))/(1 - 0)
(y + 3)/x = (0 + 3)/1
y + 3 = 3x
3x - y = 3
Therefore, the system of equations representing the graph is:
3x - 4y = -24
3x - y = 3
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