Answer:
x = 9
Step-by-step explanation:
A midpoint is found by adding up two numbers and then dividing by 2 (Also known as an average). Therefore, a midpoint marks half of a line. That means that DP is 1/2 of DE. We can now form an equation. 6x + 4 = 1/2 * (14x - 10), making 6x + 4 = 7x - 5 by using the distributive property. Next, isolate x by subtracting by 6x on both sides and adding by 5 on both sides. You would get x = 5 + 4, which means that x = 9.
Answer:

Step-by-step explanation:
Angle A is given.
For angle A, BC is the opposite leg.
For angle A, AC is the adjacent leg.
The trig ratio that relates the opposite leg to the adjacent leg is the tangent.
In general, for angle X,

In our problem,




Answer:
-- Another point

Step-by-step explanation:
Given


Solving (a): Another point
Substitute 1 for x and 8 for f(x) in 

Remove absolute bracket



Substitute 8 for a in 

Let x = -1

Remove absolute bracket


So, another point is:

Solving (b): The value of a
This has been solved in (a) above

The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)
<h3>How to determine the coordinate?</h3>
The points are given as:
G = (-4,3)
H = (-1,-4)
Ratio, m : n = 3 : 2
The coordinate of the point is calculated using:

This gives

Evaluate

Evaluate the product
(x,y) = (-2.2, -1.2)
Hence, the coordinate of the point is (-2.2, -1.2)
Read more about line segment ratio at:
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