Answer:
Center is at (0,0)
Step-by-step explanation:
An equation of ellipse in standard form is:

Where center is at point (h,k)
From the equation of
. First, we add 45 both sides:

Convert into the standard form with RHS (Right-Hand Side) equal to 1 by dividing both sides by 45:

Therefore, the center of ellipse is at (0,0) since there are no values of h and k.
Answer:
Question 6. M(5, 2)
Question 7. M(-6, 0)
Step-by-step explanation:
1. C(3, -5) and D(7, 9)
Use the midpoint formula:
(x1 + x2/2, y1 + y2/2)
(3 + 7/2, -5 + 9/2)
(10/2, 4/2)
(5, 2)
2. S(-8, -6) and T(-4, 6)
Use the midpoint formula:
(x1 + x2/2, y1 + y2/2)
(-8 + -4/2, -6 + 6/2)
(-12/2, 0/2)
(-6, 0)


( makes co - interior angles, since the two lines are parallel )

The value of x is 126.87° and the value of y is 53°.
<h3>What is an obtuse and an acute angle?</h3>
An obtuse angle is an angle that is greater than 90° but lesser than 180° while an acute angle is an angle between 0-90°.
From the given information:
sin x° = 0.8
x = sin⁻¹ (0.8)
x = 53.13°
x + 53.1° = 180°
x = 180° -53.13°
x = 126.87°
If cos 127° = -cos y°,
-cos y = -0.6018
cos y = 0.6018
y = cos⁻¹ (0.6018)
y = 53°
Learn more about the determination of obtuse and acute angles here:
brainly.com/question/22323626
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Answer:
4.25 0r 5.75
Step-by-step explanation: