Answer:
1 and 3
Step-by-step explanation:
1 and 3 are vertical angles
To find the answer to this problem, you can use the unit circle to see that pi over 6 radians is equal to 30°
Another way is to use the equation: degrees = radians • (180 over pi)
In this example, plugging in the radians portion of the equation gives us: degrees = (pi over 6) • (180 over pi), which will become degrees = (180pi over 6pi)
Simplify and pi cancels out to give us degrees = 30
Answer: 30°
Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )