Answer:
a) adjacent angles, complementary angles
b) vertical angles, congruent angles
c) supplementary angles, adjacent angles
d) supplementary angles, adjacent angles
Step-by-step explanation:
Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )
Complementary angles are angles that form a 90 degree angle ( right angle )
Supplementary angles are angles that form a straight line
Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )
The equation of the ellipse is
<h3>How to determine the ellipse equation?</h3>
The given parameters are:
- Foci: (-4, 0) and (4, 0)
- Length of major axis = 14
The above means that:
c = 4 and
The semi-major axis, a = 7 i.e 14/2
Calculate b using
So, we have:
Square both sides
The standard form of the ellipse is represented as:
This gives
Evaluate
Hence, the equation of the ellipse is
Read more about ellipse at:
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Answer:
No
Step-by-step explanation
The square root of 10 is irrational because it isn't a fraction
Answer:
6 + 5x³ - 9x² + 2x
Step-by-step explanation:
Given
(3x² - 2x)(2x² + 3x - 1)
Each term in the second factor is multiplied by each term in the first factor, that is
= 3x²(2x² + 3x - 1) - 2x(2x² + 3x - 1) ← distribute both parenthesis
= 6 + 9x³ - 3x² - 4x³ - 6x² + 2x ← collect like terms
= 6 + 5x³ - 9x² + 2x