PLZ HELP ME ASAP.. Which is the correct algebraic expression after combining like terms?
1 answer:
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81/4
Step-by-step explanation:
9=4x/9
81=4×
x=81/4
adding logs means elements are multiplied, subtracting means divide. number in front of log is raised to power
base of log is raised to power of element after =
element in log is then equal to log base raised to power
solve resulting equation
- 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?
