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Simora [160]
3 years ago
9

If a quadratic equation with real coefficients has a discriminant of -2, then its roots must be

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0
The correct answer is C: imaginary.

When the discriminant is negative, this implies that the quadratic equation has no roots (or zeros) in the set of real numbers. The roots belong to the set of complex numbers, and will be called "complex roots" (or "imaginary roots").

Therefore, the correct answer is C: imaginary.

Please mark my answers as the Brainliest if you find this explanation helpful :)
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kompoz [17]

Answer:

A and C

Step-by-step explanation:

Let Triangle ABC is a right angle traingle.

From Option A

AB= 24, BC= 26 and AC=10

By Pythagorean Triplet

(AB)^2 + (AC)^2 = (24)^2 + (10)^2

= 576+100

(AB)^2 + (AC)^2 = 676 ---------------- (I)

(BC)^2 = 26^2 = 676 -------------------(ii)

From (I) and (ii)

(BC)^2 = (AB)^2 + (AC)^2

Therefore, the sides 10,24 and 26 are the sides of the right angle triangle.

From Option C

AB= 18, BC= 30 and AC=24

By Pythagorean Triplet

(AB)^2 + (AC)^2 = (18)^2 + (24)^2

= 324+576

(AB)^2 + (AC)^2 = 900---------------- (I)

(BC)^2 = 30^2 = 900 -------------------(ii)

From (I) and (ii)

(BC)^2 = (AB)^2 + (AC)^2

Therefore, the sides 18, 24 and 30 are the sides of the right angle triangle.

3 0
3 years ago
Find the absolute mean deviation of this data set:<br> 8, 8, 4, 12
nasty-shy [4]

Answer:

2 is the absolute mean deviation

Step-by-step explanation:

absolute mean deviation is

the average of the differences of the data from the average

8, 8, 4, 12

1. take the average

8+8+4+12=32 -> 32/4 = 8

2. subtract each number from this average

8 - 8 = 0

8 - 8 = 0

4 - 8 = 4 (there are no negative answers)

12 - 8 = 4

3. take the average of these subtractions

0+0+4+4=8 -> 8/4 = 2

4. answer: 2 is the absolute mean deviation

8 0
2 years ago
In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what i
balandron [24]

Answer

square root of 32

Step-by-step explanation:

in a right triangle we can use Pythagorean theorem to find B

C^{2} =A^{2}+B^{2}  \\\\  9^{2}=7^{2}+B^{2}   \\81=49+B^{2} \\81-49=B^{2} 32=B^{2}\\ B=\sqrt{32}we substitute C for 9 and A for 7

6 0
3 years ago
What is the value of X?
LenKa [72]

Answer:

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5 0
3 years ago
Read 2 more answers
The sum of three numbers is 35. The first number is three less than the second and the third is two more than 4 times the second
saul85 [17]

Step-by-step explanation:

x + y + z = 35 \\ x = y - 3 \\ z = 4y + 2 \\  \\ (y - 3) + y + (4y + 2) = 35 \\ 6y - 1 = 35 \\ 6y = 36 \\ y =  \frac{36}{6}  \\ y = 6 \\  \\ x = y - 3 \\ x = 6 - 3 \\ x = 3 \\  \\  z= 4y + 2 \\  z= (4 \times 6) + 2  \\ z = 26

7 0
3 years ago
Read 2 more answers
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