Answer:
9/16
Step-by-step explanation:
1) convert 1/8 into 2/16 so denominator are the same
2) then you just add the fractions
Answer:
96 degrees
Step-by-step explanation:
The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.
Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:
x = 144-48
x = 96


Substitute into

Insert y = 5 into

Answer: 9 coach tickets, 5 first class tickets.
Hope this helps.
Answer:
= -
Step-by-step explanation:
Answer:
there are two complex roots
Step-by-step explanation:
Recall that for a quadratic equation
y = ax² + bx + c
the solution given by the quadratic formula is
x = ( -b ± √discriminant) / 2a
if the discriminant is negative, the radical term will become √ (negative number), which we know gives complex solutions. Hence we can eliminate real roots as possible answers.
Also notice that the "±" sign in the quadratic formula means that you will get 2 possible solutions:
x = ( -b + √discriminant) / 2a
or
x = ( -b - √discriminant) / 2a
Hence we know we will get 2 solutions.
Combining our findings, we can conclude that if the discriminant is negative, we will get 2 complex roots.