Answer:
The constant of proportionality is option D i.e 5.
Step-by-step explanation:
Variation:
Variation problems involve fairly simple relationships or formulas, involving one variable being equal to one term. There are two types of variation i.e.
- Direct variation
- Inverse variation
Direct Variation:
Mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other.
Example 
where, k is constant of proportionality.
The above given example is of Direct Variation
∴ y = 5 x
∴ k = 5 = constant of proportionality.
Inverse Variation:
Mathematical relationship between two variables which can be expressed by an equation in which the product of two variables is equal to a constant.
Example 
where, k is constant of proportionality.
The volume of the resulting prism is 3.375 times of original volume.
<h3>
What is a dilation or scale factor?</h3>
The factor by which the dimensions of an object are enlarged is called the scale factor.
Let us take the base area of Prizm = a²
Height of the prism = h
Enlarged area = (scale factor)² * previous area
Enlarged area = 1.5²*a² = 2.25a²
Enlarged height = 1.5h
So, enlarged volume = enlarged area* enlarged height
Enlarged volume= 2.25a²*1.5h = 3.375a²h
Enlarged area/previous area = 3.375a²/a² = 3.375
Therefore, the volume of the resulting prism is 3.375 times of original volume.
To get more about dilation visit to:
brainly.com/question/10253650
Answer:
(1) {-1/4, 0, 3}
Step-by-step explanation:
Step 1: Factor left side of equation.
2x(4x+1)(x−3)=0
Step 2: Set factors equal to 0.
2x=0 or 4x+1=0 or x−3=0
x=0 or x= −1/4 or x=3
Answer: Alberto run 27 meters.
Time taken By Alberto=3 seconds
Step-by-step explanation:
Let d be the distance Alberto ran to catch Omar.
Then, distance ran by Omar=x-6
Also, 
Since, both started running at the same time.
Time taken By Alberto=
Time taken By Omar=
Now, at the point they meet time taken by both is equal.
Hence, Alberto run 27 meters.
Time taken By Alberto=
=3 seconds
