Answer:
<em>The birch tree needs 12 years</em>
Step-by-step explanation:
<u>Proportional Relationship</u>
Two variables t and d are proportional if they have the relationship described by the equation:
d = kt
Where k is the constant of proportionality.
From the graph on the question, we recognize the proportionality of the age of a birch tree and its diameter because the line passes through the origin (0,0). To find the equation, we need to recognize a clear point on the graph. We select the point (2,7). Substituting in the equation:
7 = 2k
Thus:
The equation is:
For the birch to have a diameter of d=42 inches, the time needed can be calculated by solving the equation:
t = 12 years
The birch tree needs 12 years
Answer:
$758 per week
Step-by-step explanation:
15.16 x 50 = 758
Answer:
12.6
Step-by-step explanation:
2 1/3 × 5 2/5
2 1/3= 7/3
5 2/5= 27/5
7/3×27/5= 12.6
A quadratic equation that has 2 roots that are equal means that the discriminant of the equation is 0. The value of k that makes the equation have 2 real and equal roots is
Given that:
Rewrite as:
A quadratic equation is represented as:
By comparison:
If an equation has 2 real and equal roots, then:
So, we have:
Divide by 4
Divide by 6
Subtract 2 from both sides
Take LCM
Divide by 2
Hence, the value of k that makes the equation have 2 real and equal roots is
Read more about real and equal roots at:
brainly.com/question/2535040