Please help question 30
1 answer:
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Answer: (3, 5)
<u>Step-by-step explanation:</u>
y = x + 2 is already in Slope-Intercept format
- b = 2: Plot +2 on the y-axis
- m = 1: Count up 1 and right 1 from "b" to plot the next point
y = -x + 8 is already in Slope-Intercept format
- b = 8: Plot +8 on the y-axis
- m = -1: Count down 1 and right 1 from "b" to plot the next point
See attached graph
To compute the distance between the points, we can apply the distance formula as shown below.
In which x₁ and x₂ are the x-coordinates and y₁ and y₂ are the y-coordinates of the two points. Thus, applying this with the segments AABB, AACC, and BBCC, we have
Now that we have the lengths of all the sides of ΔAABBCC, we can find the missing angles using the Law of Cosines.
Generally, we have
or
Hence, we have
Simplifying this, we have
Thus, from this, we can arrange the angles from smallest to largest: ∠CC, ∠AA, and ∠BB.
Answer: ∠CC, ∠AA, and ∠BB
In which x₁ and x₂ are the x-coordinates and y₁ and y₂ are the y-coordinates of the two points. Thus, applying this with the segments AABB, AACC, and BBCC, we have
Now that we have the lengths of all the sides of ΔAABBCC, we can find the missing angles using the Law of Cosines.
Generally, we have
or
Hence, we have
Simplifying this, we have
Thus, from this, we can arrange the angles from smallest to largest: ∠CC, ∠AA, and ∠BB.
Answer: ∠CC, ∠AA, and ∠BB