Answer:
x = 2.5
Step-by-step explanation:
2x - 11 = -8x + 14
Add 8x to both sides
10x - 11 = 14
Add 11 to both sides
10x = 25
Divide both sides by 10
x = 2.5
Answer: Directly proportional.
Step-by-step explanation:
The increase of one variable which causes the other variable to increase points to a directly proportional relationship between the two variables. Similarly, the decrease of one variable will cause a decrease in the other variable.
One variable can also be the constant multiple of the other. This means that if one changes, the other one will change in PROPORTION to it.
Answer:
Value of
Step-by-step explanation:
Given: A vertical line is dropped from the x-axis to the point (12, -9) as shown in the diagram below;
To find the value of
.
By definition of secants;

Now, first find the cosine of angle 
As the point (12 , -9) lies in the IV quadrant , where 
Consider a right angle triangle;
here, Adjacent side = 12 units and Opposite side = -9 units
Using Pythagoras theorem;

or

Cosine ratio is defined as in a right angle triangle, the ratio of adjacent side to hypotenuse side.

then;

and
therefore, the value of
is,
2 × c ÷ 7 ÷ 2. This better?
(i) Slope is 
(ii) x - intercept is 
(ii) y - intercept is 
Explanation:
The given equation is 
We need to determine the slope, x - intercept and the y - intercept
(i) Let us determine the slope of the equation.
Since, the equation is of the form
where m is the slope
Thus, comparing the equation
with the general form
, the slope is 2.
Thus, slope is 
(ii) Now, we shall determine the x - intercepts.
The x - intercept can be determined by substituting
in 
Thus, we have,



Thus, the x - intercept is 
(iii) The y - intercept can be determined by substituting
in 
Thus, we get,



Thus, the y - intercept is 