The shape of the solution region for the system (picture) can be described as which of the following? Select all that apply.
1 answer:
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For this case we have the following equation:
Deriving we have:
We match zero:
We clear the value of x:
Then, we substitute the value of x in the equation of the parabola:
Thus, the vertex of the parabola is the ordered pair:
Answer:
The vertice is:
Deriving we have:
We match zero:
We clear the value of x:
Then, we substitute the value of x in the equation of the parabola:
Thus, the vertex of the parabola is the ordered pair:
Answer:
The vertice is:
1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:
Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point
So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
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Lets do this step by step.
This is the trigonometric form of a complex number where is the modulus and
is the angle created on the complex plane.
The modulus of a complex number is the distance from the origin on the complex plane.
where
Substitute the actual values of a = -5 and b = -5.
Now Find .
Raise - 5 to the power of 2.
Raise - 5 to the power of 2.
Add 25 and 25.
Rewrite 50 as 5^2 . 2 .
Pull terms out from under the radical.
The angle of the point on the complex plane is the inverse tangent of the complex portion over the real portion.
Since inverse tangent of produces an angle in the third quadrant, the value of the angle is
.
Substitute the values of and
.
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀