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Naily [24]
3 years ago
14

What is the greatest common factor of 24s3, 12s4, and 18s?

Mathematics
1 answer:
slava [35]3 years ago
7 0

Answer:

Step-by-step explanation:

The GCF if 24s^3, 12s^4 and 18s is

24s^3: 2^3 * 3 s s s

12s^4: 2^2 * 3 s *s* s* s

18s: 3^2 * 2 s

3s is the GCF

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.. Discuss the nature of the root of equation x2 + 2x + 3 = 0​
Mariana [72]

Answer:

  • No real roots

Step-by-step explanation:

Given equation:

  • x² + 2x + 3 = 0

On comparing the equation by ax² + bx + x = 0, We get: a = 1, b = 2 and c = 3

To Find the nature of the roots of the equation firstly we need to find the discriminant of the equation. The expression b²- 4ac is called the discriminant.

~

  • Two Distinct real roots, if b² - 4ac > 0
  • Two equal real roots, if b² - 4ac = 0
  • No real roots, if b² - 4ac < 0

\\ \: \: \dashrightarrow \: \: \: \sf  {b}^{2} - 4ac = 0 \\ \\ \\\: \: \dashrightarrow \: \: \: \sf (2)² - 4 \times 1 \times 3 = 0 \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf 4 - 4 \times 1 \times 3 = 0  \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf 4 - 12 = 0 \\  \\  \\ \: \: \dashrightarrow \: \: \: \sf {\underline{\boxed{\sf{\purple{  -8 > 0}}}}} \\  \\

The discriminant is smaller than 0.

  • <u>Hence, Equation has no </u><u>real</u><u> roots (no solution)</u>
6 0
1 year ago
Help me out thank you. use the image I have attached.
Ket [755]

Same-side interior angles are supplementary, meaning that they add up to 180 degrees.

5x + 34 + 2x + 76 = 180

7x + 110 = 180

7x = 70

x = 10

Measure of angle A = 5(10) + 34 = 84 degrees

Hope this helps!! :)

7 0
3 years ago
Read 2 more answers
×^2+4x-5/×^2+7x+1<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7Bx%7D%5E%7B2%7D%20%2B%204x%20%2B%20-%205%20%7D%20%20%20
Serjik [45]
(4x2 – 4x – 7)(x + 3)

(4x2 – 4x – 7)(x) + (4x2 – 4x – 7)(3)

4x2(x) – 4x(x) – 7(x) + 4x2(3) – 4x(3) – 7(3)

4x3 – 4x2 – 7x + 12x2 – 12x – 21

4x3 – 4x2 + 12x2 – 7x – 12x – 21

4x3 + 8x2 – 19x – 21

6 0
3 years ago
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Maru [420]

Answer:

71

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the equation of a line that goes THROUGH (-2, 3) and is PERPENDICULAR to the line
andre [41]
3=-2+B. +2 +3 B=5 “y=1/3x+5” in perpendicular lines slope1times slope 2 creates a negative (-1) example(-3/1)(1/3)=-1 so slope 1 multiplied by slope 2 is the opposite inverse which creates a negative 1
8 0
3 years ago
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