The temperature in New York was -14°F in the morning.If the temperature dropped 7°F what is the temperature now?
1 answer:
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Answer:
The distance between the points is approximately 6.4
Step-by-step explanation:
The given coordinates of the points are;
(2, -2), and (6, 3)
The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;
Substituting the known 'x', and 'y', values for the coordinates of the points, we have;
Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.
Step
In the right triangle ADB
<u>Find the length of the segment AB</u>
Applying the Pythagorean Theorem
we have
substitute the values
Step
In the right triangle ADB
<u>Find the cosine of the angle BAD</u>
we know that
Step
In the right triangle ABC
<u>Find the length of the segment AC</u>
we know that
solve for AC
Step
<u>Find the length of the segment DC</u>
we know that
we have
substitute the values
Step
<u>Find the length of the segment BC</u>
In the right triangle BDC
Applying the Pythagorean Theorem
we have
substitute the values
therefore
<u>the answer is</u>