How many times does 18 go into 12?
2 answers:
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Answer:
The length of the base is 11 meters.
Step-by-step explanation:
The diagram of the triangle is not shown; However, the given details are enough to solve this question.
Given
<em>Shape: Triangle</em>
<em>Represent the height with h and the base with b</em>
Required
Find the length of the base
The area of a triangle is calculated as thus;
Substitute 22 for Area and 3 + 2h for b
The formula becomes
Multiply both sides by 2
Open the bracket
Subtract 44 from both sides
Rearrange
At this point, we have a quadratic equation; which is solved as follows:
Split the above
Solve the above linear equations separately
Add 4 to both sides
---- <em>First value of h</em>
Subtract 11 from both sides
Divide both sides by 2
<em> ------ Second value of h</em>
Since height can be negative, we'll discard
Hence, the usable value of height is
Recall that
Substitute 4 for h
Hence, the length of the base is 11 meters
Answer:
<u>Potential roots:</u>
Step-by-step explanation:
Simply put, the rational roots theorem tells us that if there are any rational roots of a polynomial function, they must be in the form
±
Where
a_n is the number before the highest power of the polynomial, and
a_0 is the constant in the polynomial
<em>From the polynomial shown, we have a_n = 9 and a_0 = 4</em>
<em />
<em>The factors of 9 are 9, 3, 1</em>
<em>and</em>
<em>The factors of 4 are 4,2,1</em>
<em />
So, if there are any rational roots, they would be:
±
±
Which is ± 9/4, 9/2, 9/1, 3/4, 3/2, 3/1, 1/4, 1/2, 1/1
or