b
Step-by-step explanation:
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Answer:
Pretty Sure all except D. and E. are true
Step-by-step explanation:
The text states the ship reaches 236 dt above sea level proving A. true
The ship also reaches -74 ft below sea level meaning it goes 74 ft undersater proving B.
The 74 ft plus the 236 ft show that the ship's full size is more than 236 alone proving C. correct
and proving D. and E. false as well
The answer for the equation
Answer: b = 90
Step-by-step explanation:
Full triangle is 180
5 + 4 = 9 + 1 (the smallest angle)
180 ÷ 10 = 18
First and smallest angle is 18
p= 18
Second angle is 72
18 × 4 = 72
Thrid angle is 90
18 × 5 = 90
b = 90
18 + 72 = 90 + 90 = 180
Answer:
- 6. See solution
- 7. k = 2, k = -6
Step-by-step explanation:
6.
<u>Given equation:</u>
- The sum of the roots is q1 and the product of the roots is q2
Need to show that q1+q2 = 0
<h3>Solution</h3>
<u>Bringing the equation into standard form of ax² + bx + c = 0:</u>
- 2(x + 2)² + p(x + 1) = 0
- 2x² + 8x + 8 + px + p = 0
- 2x² + (p + 8)x + (p + 8) = 0
<u>Sum of the roots: </u>
<u>Product of the roots:</u>
<u>We see that q1 and q2 are opposite numbers, therefore their sum equals zero:</u>
- q1 + q2 = -(p + 8)/2 + (p + 8)/2 = 0
=============================================
7.
<u>Given quadratic equation:</u>
Need to find the possible values of k
<h3>Solution</h3>
<u>When the quadratic equation has equal roots, then its discriminant is equal to zero:</u>
- D = 0
- √b² - 4ac = 0
- √(-k -2)² - 4*1*4 = 0
- √k² + 4k + 4 - 16 = 0
- √k² + 4k - 12 = 0
- k² + 4k - 12 = 0
- k = {-4 ± √4² -4*1*(-12)}/2
- k = (-4 ± √16 + 48)/2
- k = (-4±√64)/2
- k = -2 ± 4
- k = 2, k = -6