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).
<span>f(x) = 2x – 5
</span><span>f(22) = 2(22) – 5 = 44 -5 = 39
answer
</span><span>D39</span>
Answer:
you cannot see the graph. So I cannot answer this question
Step-by-step explanation:
if you add the graph maybe I can help :D
Answer:
Step-by-step explanation:
Given
Required
Determine CD
Since, C is a point on BD, the relationship between the given parameters is;
Substitute the values of BD, BC and CD
Collect Like Terms
Divide both sides by -4
To determine the length of CD;
Substitute 3 for x in
Hence;
