The midpoint of UV is point W. What are the
1 answer:
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Answer:
Point-slope equation of this line:
.
Step-by-step explanation:
The equation for a line in a cartesian plane can take multiple forms. This question gives
- a point on the line, and
- the slope of the line.
The point-slope form will the most appropriate.
What is the point-slope form equation of a line ?
In general,
,
where
is the x-coordinate of the given point on the line,
is the y-coordinate of the given point on the line, and
is the slope or gradient of the line.
In other words, the point on the line.
For this line,
- The point is
, where
and
.
- Gradient of the line
.
Thus the equation for this line:
.
Answer:
21 cm
Step-by-step explanation:
Call the triangle ABC, with the right angle at B, the hypotenuse AC=25, and the given leg AB=10. The altitude to the hypotenuse can be BD. Since the "other leg" is BC, we believe the question is asking for the length of DC.
The right triangles formed by the altitude are all similar to the original. That means ...
AD/AB = AB/AC . . . . . . ratio of short side to hypotenuse is a constant
Multiplying by AB and substituting the given numbers, we get ...
AD = AB²/AC = 10²/25
AD = 4
Then the segment DC is ...
DC = AC -AD = 25 -4
DC = 21 . . . . . centimeters
