M = 72
Your main goal in this equation is to isolate m or in other words leave m alone in one side of the equality.
All you need to do is multiply 4 in both sides for you to eliminate the denominator attached to m.
Saying this,
(M/4)(4) = (18)(4)
M = 72
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer is x=-7 x=6 or choice A
Answer:
D. 36.75-3x
Step-by-step explanation:
You have a total amount of 36.75.
Since you are spending money you need to subtract.
We know that Marshall buys 3 tickets.
We also know that 'x represents the amount of a single ticket.
Remember that they are asking you for an algebraic expression and not an equation.
So you need to take away from your total, 36.75. And since you plan on buying three tickets and aren't given the amount x it leaves you with taking 3x from your total 36.75 or an other words
D. 36.75 - 3x
Basically that is a certain order where you can swap around the numbers. The answer is that the problem is correct because both equal 49x