Help please!!!!!!!!! A. (1, -2) B. (1, 2) C. (2, -1) D. Infinite number of solutions
1 answer:
Answer:
(1, -2) Option A in your list of possible answers
See attached image.
Step-by-step explanation:
We need to graph the lines by using a couple of points on the plane for each equation.
For example:
the points (0, -3) and (3, 0) for the line y = x - 3
and the points (0, 1) and (-1, 4) for the line y = - 3 x + 1
Please see the lines in the attached image, and notice that they intersect at the point (1, -2), which gives you the solution for the system.
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- Since the triangles are similar, the slope of line segment AD and line segment BD are the same.
- The initial value and slope of the graph are 66 and 44 respectively.
Considering the two right-angled triangles (ΔABD and ΔBCE) with the following points A(2, 154), B(1, 110), D(2, 110) and E(1, 66).
Since the triangles are similar, the slope of line segment AD is given by:
Tanθ = AD/BE
Tanθ = (154 - 110)/(110 - 66)
Tanθ = 44/44
Tanθ = 1.
Also, the slopes of line segment BD is given by:
Tan∅ = BD/CE
Tan∅ = (2 - 1)/(1 - 0)
Tan∅ = 1/1
Tan∅ = 1.
Therefore, the slope of line segment AD and line segment BD are the same because θ is equal to ∅.
<h3>What are the initial value and slope of the graph?</h3>By critically observing the graph, we can logically deduce that the initial value of this graph is 66 and it represents the shark's distance at the initial time (0 minute).
For the slope, we have:
Slope = Δy/Δx
Slope = (154 - 66)/(2 - 0)
Slope = 88/2
Slope = 44.
Read more on slope here: brainly.com/question/17601248
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<u>Complete Question:</u>
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.
Part B: What are the initial value and slope of the graph, and what do they represent?
