Answer:
The slope of the line is -2
Step-by-step explanation:
<em>The rule of the slope of a line is</em>:
, where
and
are two points on the line
<em>Let us find the slope using the rule above</em>
∵ The line passes through points (3, -7) and (-1 , 1)
∴
= 3 and
= -1
∴
= -7 and
= 1
<em>Substitute these values in the rule above to find m</em>
∴ 
∴ The slope of the line that passes through the given points is -2
You walked 5/6 mile
1/3(x2)=2/6
1/2(x3)=3/6
5/6 mile
The capital letter that shows an example of perpendicular line segments is: A. L (see attachment).
<h3>What are Perpendicular Line Segments?</h3>
Perpendicular line segments are lines or rays that intersect at a point to form right angles (angle 90 degrees) at their point of intersection.
When two lines intersect, and at their point of intersection, the angle formed is a right angle, then both lines are perpendicular line segments just like the lines that forms letter L as shown in the diagram attached below.
Therefore, the capital letter that shows an example of perpendicular line segments is: A. L (see attachment).
Learn more about perpendicular line segments on:
brainly.com/question/7783266
Answer:
- tan(θ) = 5/3
- sin(θ) = 5√34/34
- sec(θ) = √34/3
Step-by-step explanation:
The hypotenuse is given by the Pythagorean theorem:
h = √(3² +5²) = √34
The trig functions are the ratios of sides:
Tan = Opposite/Adjacent
tan(θ) = 5/3
__
Sin = Opposite/Hypotenuse
sin(θ) = 5/√34 = (5/34)√34
__
Sec = Hypotenuse/Adjacent
sec(θ) = √34/3