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:
A) 50
B) 20
C) 20
Step-by-step explanation:
To solve the first question, we can multiply both sides by 10.
Thus, we get:
6x = 300.
Then, divide by 6, to get x:
x = 50.
You can do the same thing to all of these questions.
I've already checked the answers, but if you don't trust them, just pluck the values in.
For example, let's check the answer for question A.
0.6*50 is supposed to equal 30.
Does it equal? Yes, so we know that the answer is correct.
Answer:14 dimes 10 nickels
Step-by-step explanation:
24 coins total
14 X.10 = 1.40
10 x .05 = .50
1.40 + .50 = 1.90
