Answer:
68°
Step-by-step explanation:
ABD is a right angle and the measure of it is 90°
m<CBD + m<ABC = m<ABD
4x + 52° + 8x - 10 = 90° add like terms
12x + 42° = 90°
12x = 48°
x = 4
m<CBD is 4x + 52° replace x with 4
4×4 + 52 = 68°
The discriminant of a quadratic equation is calculated through the equation,
D = b² - 4ac
In the given above, a = 5, b = -4, and c = 3. Substituting these values to the equation,
D = (-4)² - 4(5)(3) = -44
Since the discriminant is negative, the roots are non-real.
I used synthetic division on the first one cuz I could and got that D is the answer for that one (#3); the next one I used long division and got C. Learn how to do this because it's a method of factoring and factoring is everywhere...it's just as important as being able to solve equations.
That's division. It show up as a slash in calculators and computers.
Answer:
In 5040 ways.
Step-by-step explanation:
To solve this problem we will use combination without repetition which means:
C ( n k) = (n₁ k₁) (n₂ k₂) (n₃ k₃) = (4 3) (9 2) (7 3) =
(4 · 3 · 2 / 3 · 2 · 1) (9 · 8 / 2 · 1) (7 · 6 · 5 / 3 · 2 · 1) = 4 · 36 · 35 = 5040
It can be done in 5040 ways.
God with you!!!
