A is the point (70, -80) and B has coordinates (-58, 48) what is exact length of AB
1 answer:
Answer:
units
Step-by-step explanation:
We are given;
- Coordinates of A (70, -80)
- Coordinates of B (-58, 48)
We are required to calculate the length of AB
- To determine the length of AB we are going to use the formula for getting magnitude;
- Given, coordinates (x₁, y₁) and (x₂, y₂), then
- Magnitude =√((x₂-x₁)²+(y₂-y₁)²)
Therefore;
Length =
=
=
=
=
Therefore, the exact length of AB is units
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Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.
There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.
There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
Answer:
and
and b=
Step-by-step explanation:
We are given that a quadratic equation
We have to solve the equation by completing square and find the value of b.
and
And
Therefore, and
and b=