Line AB and line CD intersect at point E, with point E between A and B and between C and D. Which rays are opposite rays?
1 answer:
Answer:
EA, EB, EC and ED are opposites rays.
Step-by-step explanation:
Given that,
Line AB and line CD intersect at point E.
According to figure,
We need to find opposite rays
Using diagram
We draw a first line AB and second line CD which is intersect of AB at point E.
Now, EA and EB is called opposite ray of first line AB.
Similarly,
EC and ED is called opposite ray of first line CD.
Hence, EA, EB, EC and ED are opposites rays.
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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: