Answer:
Step-by-step explanation:
#22
<h3>Given </h3>
- Equation x² -4x + 1 = k(x - 4) with equal roots
<h3>To find</h3>
<h3>Solution</h3>
<u>The equation in standard form is:</u>
- x² -4x + 1 = k(x - 4)
- x² - 4x - kx + 1 + 4 = 0
- x² - (k + 4)x + 5 = 0
<u>When the quadratic equation has equal roots its discriminant is zero</u>
- D = 0
- b² - 4ac = 0
- (k + 4)² - 4*5 = 0
- (k + 4)² = 20
- k + 4 = ± √20
- k = - 4 ± √20
- or
- k = -4 ± 2√5
Huhhhh? Is this question complete?
Answer:
And is an inclusive conjunction, meaning more can follow and exist at the same time, while or is an exclusive conjunction, meaning only one choice can exist at one time.
Step-by-step explanation:
Answer:
6 cos Θ
Step-by-step explanation:
sin Θ cot Θ + 5 cos Θ =
= sin Θ × cos Θ / sin Θ + 5 cos Θ
= cos Θ + 5 cos Θ
= 6 cos Θ
Answer:
40 miles
Step-by-step explanation:
You would have to start by doing $120 - $96 for the per-day fee, which leaves Calvin with $24 to spend on miles.
Next you would do $24 ÷ $0.60 to find the number of miles he can drive, which is 40 miles.