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Gala2k [10]
3 years ago
7

What is the least possible degree of a polynomial that has roots -5, 1+4i, and -4i

Mathematics
1 answer:
N76 [4]3 years ago
3 0
If complex coefficients are allowed, the answer is 3.

If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.

Root -5 is real, so that is 1 root, and degree 1.

Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.

Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.

Answer: The least possible degree is 5 with real coefficients.
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If Aniyah can run 6.5 miles per hour, and she runs for 15 minutes, how far did she go?
zhenek [66]

Step-by-step explanation:

PRIMERO CONVIERTES MINUTOS A HORAS

15 MIN = 0.25 h

LUEGO CON LA ECUACIÓN DE GALILEI:

<em>x</em> = 6.5 mi/0.25 h = 26 mi

3 0
3 years ago
Two angle of a tranigle measure 55 and 20 what is the measure of the third angle
wariber [46]

Answer:

105 degrees

Step-by-step explanation:

Recall that the sum of angles in a triangle is 180 degrees. As such, where a, b and c are the angles of a triangle then

a + b + c = 180 ( all in degrees)

Given that two angles of a triangle measure 55 and 20, let the size of gthe 3rd be T then

55 + 20 + T = 180

simplify

75 + T = 180

Subtract 75 from both sides

T = 180 - 75

T = 105

7 0
2 years ago
Can someone please answer this question I need it today please show work and please answer it correctly i
svlad2 [7]

Answer:

24) $495

25) 14%

26) 25/X = 83/100

27) 0.7p

28) x + .085x and 1.085x

29) $221.90

30) $24.10

31) $6.13

32) 40%

Step-by-step explanation:

24) 600 - (600 × 0.25) = 450

450 × 1.10 = 495

25) (106 - 93) ÷ 93 = 0.13978

0.13978 × 100 = 13.978 ~ 14

27) 1.0 - 0.3 = 0.7

28) 1.00 + 0.085 = 1.085

29) 100% - 15% = 85%

240 × 0.85 = 204

204 × 1.0875 = 221.85

30) 25.89 × 4 = 103.56

103.56 + 179.99 = 283.55

283.55 × 0.085 = 24.10175

31) 8.75 × 0.70 = 6.125

32) 80 - (80 × 0.40) = 48

4 0
3 years ago
When x = 12, y = 8. Find x when у = 12
Bad White [126]

Answer:

y =  \frac{12 \times 12}{8}  = 18

7 0
3 years ago
Brainly y=-1/3x+5 graph
Wewaii [24]

Answer:

The answer will be listed below.

Step-by-step explanation:

To graph the equation, first mark down your y-intercept which would be 5. Look at the y-axis and put a dot on 5. Now you must graph the slope of the line. To graph the slope, you would use rise/run (1/3). You would start on 5 and go up one and to the right three times. Keep repeating the process until you run out. Now draw the line through the dots and you did it!

8 0
2 years ago
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