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3 years ago

Find the opposite of the opposite of each integer. 9

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

-9 is the opposite of 9!

maks197457 [2]3 years ago

7 0

Hi!

The opposite of 9 is -9.

Hope this helps!

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Solve this problem n-6/-4=6

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Which of the following equations have complex roots?

mestny [16]

Answer:

Step-by-step explanation:

Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.

<u>Discriminant</u>

$b^2-4ac\quad\textsf{when}\:\:ax^2+bx+c=0$

Evaluate the discriminant of each of the given equations.

$\textsf{A.} \quad 3x^2+2=0$

$\implies a=3, \quad b=0, \quad c=2$

$\implies b^2-4ac=0^2-4(3)(2)=-24$

As -24 < 0 the equation will have complex roots.

$\textsf{B.} \quad 2x^2+1=7x$

$\implies 2x^2-7x+1=0$

$\implies a=2, \quad b=-7, \quad c=1$

$\implies b^2-4ac= (-7)^2-4(2)(1)=41$

As 41 > 0 the equation does not have complex roots.

$\textsf{C.} \quad 3x^2-1=6x$

$\implies 3x^2-6x-1=0$

$\implies a=3, \quad b=-6, \quad c=-1$

$\implies b^2-4ac=(-6)^2-4(3)(-1)=48$

As 48 > 0 the equation does not have complex roots.

$\textsf{D.} \quad 2x^2-1=5x$

$\implies 2x^2-5x-1=0$

$\implies a=2, \quad b=-5, \quad c=-1$

$\implies b^2-4ac=(-5)^2-4(2)(-1)=33$

As 33 > 0 the equation does not have complex roots.

Learn more about discriminants here:

brainly.com/question/27444516

brainly.com/question/27869538

Learn more about complex roots here:

brainly.com/question/26344541

6 0

2 years ago

Plz help me :((((((

yawa3891 [41]

Answer:

a and d = 32

Step-by-step explanation:

since ABC and DEF are similar m<A = m<D so you have the equation

5x + 12 = 8x

subtract 8x from both sides

5x + 12 -8x = 0

subtract 12 from both sides

5x -8x = -12

combine like terms

-3x = -12

devide by -3

x = 4

plug 4 into equation

5(4) + 12 = 8*4

20 + 12 = 32

32 = 32

7 0

2 years ago