Solve the linear inequality 1.5−2.5x≤4.5
2 answers:
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Answer:
The coordinates are and
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where is the vector translation.
If we know that and
, then the vector translation is:
Then, we determine the coordinates for Y' and Z':
The coordinates are and
.
The true statement about these graph is that: B. the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).
<h3>What is a graph?</h3>A graph can be defined as a type of chart that's commonly used to for the graphical representation of data on both the horizontal and vertical lines of a Cartesian coordinate, which are typically known as the x-axis and y-axis respectively.
<h3>How to interpret the graph?</h3>Mathematically, the standard form of the equation of a straight line on a graph is given by;
y = mx + c
<u>Where:</u>
- x and y are the points.
- m is the slope.
- c is the intercept.
In Mathematics, the condition for perpendicularity of two (2) lines is as follows:
m₁ × m₂ = -1
8/5 × (-5/8) = -1
Based on the graph (see attachment) of the original function and new function, we can infer and logically deduce that the true statement about their graph is that the graph of the original function (y = 8/5x + 4) is perpendicular to the graph of the new function (y =- 5/8x + 8).
Read more on perpendicularity here: brainly.com/question/1202004
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Complete Question:
Suppose the following function is graphed. y = 8/5x + 4 On the same grid, a new function is graphed. The new function is represented by the following equation. y =- 5/8x + 8. Which of the following statements about these graphs is true?
A. The graphs intersect at (0,8).
B. The graph of the original function is perpendicular to the graph of the new function.
C. The graph of the original function is parallel to the graph of the new function.
D. The graphs intersect at (0,4).
