Multiply the second question by -1 to cancel out the y’s. then add them. 11x=-11
x=-1
substitute that back into one of the equations
-3(-1)+y=-5
3+y=-5
y=-8
y2-y1 / x2-x1
7-3 / 4-1
4/3
1 & 1/3 should be correct
Answer:
x^2 - 4x + 29 = 0
Step-by-step explanation:
Complex roots occur as conjugate pairs.
So the other root will be 2 - 5i.
First write the equation it in factor form:-
(x - (2 + 5i)) (x - (2 - 5i) = 0
(x - 2 - 5i)(x - 2 + 5i) = 0 Now expand:-
x^2 - 2x + 5ix - 2x + 4 - 10i - 5ix + 10i - 25i^2 = 0
x^2 -2x - 2x + 4 - 25*-1 = 0
x^2 - 4x + 29 = 0 (answer)
Answer:
5π/3 radians
Step-by-step explanation:
The central angle for arc CBD has the same measure as the arc:
300° = 5π/3 radians
_____
180° is π radians, so (5/3)(180°) = 300° = (5/3)π radians.
Answer:
Step-by-step explanation:
log₂ 24 - log₂ 3 = log₂ 2*2*2*3 - log₂ 3
= log₂ 2³*3 - log₂ 3 = log₂ 2³ + log₂3 - log₂3
= 3 log₂ 2
= 3*1 =3
log₅ x = log₂ 24 - log₂ 3
= 3
so the value of x = 125
log₅ 125 = log₅ 5³ = 3log₅ 5 = 3 * 1 =3
