Answer:
x = - 3 and x = 1
Step-by-step explanation:
Given the rational expression

The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be, that is
x² + 2x - 3 = 0 ← in standard form
(x + 3)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
Thus x = 1 and x = - 3 are both excluded values
Answer:
1. (2,2)
2. (-20, -1)
3. (4,3)
Step-by-step explanation:
See attached images
The coordinates of all the vertices:
A = (-7,5)
B = (-5,8)
C = (-2,4)
I believe it’s B, i may be wrong. I’m not entirely sure what this question is asking
m(ar AB) = 60°, m(ar BAC) = 240°, m(ar BC) = 120°,
m(ar EA) = 92°, m(ar ECA) = 268°
Solution:
Let us take O be the center of the circle.
Given m∠AOB = 60° and m∠BOE = 32°
<em>Sum of the adjacent angles = 180°</em>
m∠EOC + 32° + 60° = 180°
m∠EOC + 92° = 180°
m∠EOC = 88°
<em>Angle in the diameter is 180°.</em>
∠AOC = 180°
<em>The angle measure of the central angle is congruent to the measure of the intercepted arc.</em>
m∠AOB = m(ar AB) = 60°
Central angle = intercepted arc
m∠AOC = m(ar AOC) = 180°
m(ar BAC) = m(ar AOC) + m(ar AOB)
= 180° + 60°
m(ar BAC) = 240°
m(ar BC) = m(ar BE) + m(ar EC)
= 32° + 88°
m(ar BC) = 120°
m(ar EA) = m(ar EB) + m(ar AB)
= 32° + 60°
m(ar EA) = 92°
m(ar ECA) = m(ar EC) + m(ar AOC)
= 88° + 180°
m(ar ECA) = 268°