Answer:
Step-by-step explanation:
hello :
-3(4w-3)= - 12w+9
The area of the triangle which is formed as described is; 60.
<h3>What is the area of the triangle formed?</h3>
According to the task content, when Point A(5,6) is reflected over the y-axis, the point B formed is; (-5,6) and when reflected over both axis, the point C formed is; (-5,-6).
It therefore follows that the length of segments AB and BC which represents the base and height of the triangle formed are; 10 and 12 respectively.
Therefore, the area of the triangle is; (1/2) × 10 × 12 = 60.
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Answer:
m and k
Step-by-step explanation:
<h2>
Answer:</h2>
y =
x + 3
<h2>
Step-by-step explanation:</h2>
As shown in the graph, the line is a straight line. Therefore, the general equation of a straight line can be employed to derive the equation of the line.
The general equation of a straight line is given by:
y = mx + c <em>or </em>-------------(i)
y - y₁ = m(x - x₁) -----------------(ii)
Where;
y₁ is the value of a point on the y-axis
x₁ is the value of the same point on the x-axis
m is the slope of the line
c is the y-intercept of the line.
Equation (i) is the slope-intercept form of a line
Steps:
(i) Pick any two points (x₁, y₁) and (x₂, y₂) on the line.
In this case, let;
(x₁, y₁) = (0, 3)
(x₂, y₂) = (4, -2)
(ii) With the chosen points, calculate the slope <em>m</em> given by;
m = 
m = 
m = 
(iii) Substitute the first point (x₁, y₁) = (0, 3) and m =
into equation (ii) as follows;
y - 3 =
(x - 0)
(iv) Solve for y from (iii)
y - 3 =
x
y =
x + 3 [This is the slope intercept form of the line]
Where the slope is
and the intercept is 3