If there are 50 trees in 4 acres of land. how many are there in 10 acres of land
2 answers:
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Part A)
The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)
The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
The given equation is:
The radicand or discriminant(d) of the equation will be:
Since the discriminant is equal to 0, the given quadratic equation has only 1 root. In other words we can say the the given equation is a perfect square.
Part B)
The given equation is:
We can solve this expression by factorization. Factors of middle term are to be made in such a way that their product equals the product of first and third term and sum is equal to the middle term i.e. product should be 4x² and sum should be -4x.
So the two such terms are -2x and -2x. Using the factors and simplifying the equation by taking common we get:
Option C:
We can find the value of PR using law of cosines.
Solution:
Given data:
∠Q = 18°, r = 9.5, p = 6.0
To find which length could be find in the triangle:
Law of cosines:
Substitute a = q, b = r, c = p and A = Q
If we substitute the values given, we can find q.
q = PR
Hence we can find the value of PR using law of cosines.
Option C is the correct answer.