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).
Question 9 answer is 0.375
Question 10 answer is 0.03125
Answer:
Step-by-step explanation:
Area = L x W gym area is (5x + 5x) ft² if W = 5x Find the L
Area = L x W divide both sides by W
Area/W = (L x W) / W
Area/W = L = Area/W
L = Area/W
= (5x + 5x) / (5x)
= 5x( 1 + 1) / 5x
= 5x(2) / 5x the 5x's cancel each other 5x/5x = 1
= 2 ft I got 2. I suspect the 12 was a typo and should have been 2
a parallelogram has four sides so all its angles add up to make 360
the angle across from the 55 would also be a 55 equaling a 110 degrees angle leaving you with 250 so your other two angles both equal 125
