I hope this helps you
5x=20 x=4
10x=10×4=40
Just look at the x axis (horizontal) and see where x=1 or go 1 unit from the origin (0,0), then go up untill you hit a point that coresponds witha y value which looks to be 2 so coresponding y for x=1 is y=2
if we are given point (1,2) then
(x,y)
x=1
y=2
that is the solution already
Use trigonometry to solve for x.
The tangent function is defined to be opposite side divided by the adjacent side.
tan(78) = x/10
tan(78)(10) = x
47.0463010948 = x
We now round off to two decimal places. In other words, we round off to the nearest tenths.
47.05 = x
Done!
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:
1074.5 or 1074 1/2
Step-by-step explanation:
