Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
Answer:
y=3/4x+-3
Step-by-step explanation:
first use rise over run to find the slope. go up 3 and over four making the slope 3/4. nxet locate the y-intercept which is clearly at -3. now just substitute the values into the equation y=mx+b
Answer:
The lady is on the second door
Step-by-step explanation:
we have that
The sign on the first door reads "In this room there is a lady, and in the other one there is a tiger"
The sign on the second door reads "In one of these rooms, there is a lady, and in one of them there is a tiger."
so
The sign on the second door is true
The sign on the first door is true or false
Since one of these signs is true and the other is false, the sign in the first door must be false
therefore
The lady is on the second door
Answer:
Answer:$624
Total sales: $52 x 48 = $2,496
Cost of ingredients:
$2,496
4
= $624
Step-by-step explanation:
Assuming LCD means Lowest Common Denominator
Assuming by "and" you mean adding the two
Well, you go by the multiples of 7;
7, 14, 21, 28, 35, 42, 49, 56, 63,<u> 70</u>
Multiples of 10;
10, 20, 30, 40, 50, 60, <u>70</u>, 80, 90, 100
Straight away you can see the lowest common multiple is 70,
Now to go about adding them,
2/7 * 10 (both sides) , 20/70
9/10 * 7 (both sides) , 63/70
Then you add the two; 20/70 + 63/70 - now we can add them because they share the same denominator
20/70 + 63/70 = 83/70 = 1 whole 13/70 (simplified)
<u>The LCD is 70
Quick tip, </u>to find a common multiple (not necessarily the lowest) multiply the two denominators.
