Answer:
C) 4
Step-by-step explanation:
Given equation:

The above equation represents proportional relationship.
To find the constant of proportionality.
Solution:
<em>The equation representing proportional relationship is given by:</em>
<em>
</em>
<em>where
represents constant of proportionality.</em>
So, in order to find the value of
for the given proportionality relationship, we will solve for 
We have:

Solving for 
Dividing both sides by 2.


∴ 
Thus, the constant of proportionality = 4.
Answer:
<em>The height of the bullding is 717 ft</em>
Step-by-step explanation:
<u>Right Triangles</u>
The trigonometric ratios (sine, cosine, tangent, etc.) are defined as relations between the triangle's side lengths.
The tangent ratio for an internal angle A is:

The image below shows the situation where Ms. M wanted to estimate the height of the Republic Plaza building in downtown Denver.
The angle A is given by his phone's app as A= 82° and the distance from her location and the building is 100 ft. The angle formed by the building and the ground is 90°, thus the tangent ratio must be satisfied. The distance h is the opposite leg to angle A and 100 ft is the adjacent leg, thus:

Solving for h:

Computing:
h = 711.5 ft
We must add the height of Ms, M's eyes. The height of the building is
711.5 ft + 5 ft = 716.5 ft
The height of the building is 717 ft
let us take any two points here (5,20) and (7,30)
now let us use slope formula to get its slope


slope =5
now let us use one coordinate (say (5,20)) and slope to get the y intercept
20= 5*5 +b
b=-5
plugging the values of b and m in the given equation we get
y=5x-5
or c=5m-5
Answer:
<h2>The answer is 5 units</h2>
Step-by-step explanation:
The distance between two points can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (9,-7) and (5, -4)
The distance between them is

We have the final answer as
<h3>5 units</h3>
Hope this helps you