Answer:
y-10=5(x-15)
Step-by-step explanation:
Slope =5
15-10/16-15=5
Then plug in 10 as the y1 and 15 as y2.
First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:

Now we can rewrite our expression using the common denominator:

Finally, we can use the trig identities:

and

to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices
using a graph tool
see the attached figure
the hypotenuse is the segment AC
find the equation of the line AC
</span>A(-5, 5) C(3, 4)
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8
step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35
the answer isx+8y=35
Answer:
- Railway lines are example of parallel lines
- The floor and the walls of a room are example of perpendicular lines
- Two roads crossing at a signal can be termed as example of intersecting lines
Step-by-step explanation:
The lines can be related in following three ways
- Lines can be parallel
- Lines can be perpendicular
- Lines can be intersecting at an angle other than 90.
Now three real life examples of above three scenarios are described below:
- Railway lines are example of parallel lines
- The floor and the walls of a room are example of perpendicular lines
- Two roads crossing at a signal can be termed as example of intersecting lines
Acute. Step-by-step explanation: Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.