Answer:

Step-by-step explanation:
Point B partitions AC in a 3:4 ratio.
B is located at (4,1) and C is located at (12,5).
Let
be the coordinates of A.
Then 
But m:n=3:4 implies m=3 and n=4 and 






Ok so for part A, the x-coordinate of the intersection is the solution to <span><span>2<span>−x</span></span>=<span>4<span>x+3.
Part B </span></span></span><span>y>3x+10</span> for (8,10)
<span><span><span>10>3(8)+10</span><span>10>34
I am not sure about the thrid one
</span></span></span>
X = larger number, y = smaller number
x = y + 12
x + y = 74
y + 12 + y = 74
2y + 12 = 74
2y = 74 - 12
2y = 62
y = 62/2
y = 31
x = y + 12
x = 31 + 12
x = 43
so ur 2 numbers are : 43 and 31
Notice the picture below
so.... the angle of depression, is above in dashed lines.... however, the angle of depression, is identical to the angle of elevation from the water, since, both angles are "alternate interior" angles
now, using the 45-45-90 rule, then we know the swimmer is 90 feet from the lighthouse, then just use the tangent ratio to get "x"
Answer:
The area of the triangle is 
Step-by-step explanation:
Given:
Coordinates D (0, 0), E (1, 1)
Angle ∠DEF = 60°
△DEF is a Right triangle
To Find:
The area of the triangle
Solution:
The area of the triangle is = 
Here the base is Distance between D and E
calculation the distance using the distance formula, we get
DE = 
DE =
DE = 
DE = 
Base = 
Height is DF
DF =
DF = 
DF = 
Now, the area of the triangle is
= 
=
=
=