Answer:
Length of the rope = 15.6 ft.
Step-by-step explanation:
Given:
Height of the pole from the ground = 12 ft
Adjacent distance from the pole = 10 ft
We have to find the length of the rope attached by Scott to secure the pole.
According to the question :
In forma right angled triangle as shown in the figure.
We have to find the measure of the hypotenuse.
Length of rope = Hypotenuse measure
Let the length of the rope = "h" ft
Using Pythagoras formula.
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒
ft
The length of the rope, rounded to the nearest tenth is 15.6 ft.
According to the given table, the slope-intercept equation of the line is given by:

The equation of a line, in <em>slope-intercept</em> form, is given by:

In which:
In this problem, we are given two points, (3,-5) and (-2,5).
- The slope is given by <u>change in y divided by change in x</u>, hence:

Hence:

Point (3,-5) means that when
, which is used to find b.



Hence, the equation of the line is:

A similar problem is given at brainly.com/question/24685547
Answer:
The third side of the triangle is 10x + 3
Step-by-step explanation:
x + 1 + 2x + 4 = 3x + 5
( 13x + 8 ) - ( 3x + 5 ) = 13x + 8 - 3x - 5
= 10x + 3