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3 years ago

Figure ABCD was reflected across the x-axis to create

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

I think the answer is (8,2)

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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 discriminant is negative.

Discriminant

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

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

If $580 is invested in an account which earns 9% interest compounded annually, what will be the balance of the account at the en

joja [24]

The formula for compounded interest is A = P (1+r/n)^nt.
P=580
r = .09
n = 1
t = 9

To find how much the balance is at the end of nine years, plug in all of the knows into the formula.
A = 1259.698 is how much the balance will be. (Rounded to 1259.70 if you round to the nearest cent).

8 0

4 years ago

What is the answer I need help? PLZ HELP ME

Firlakuza [10]

Use an app called Socratic, take a photo of the questions you're stuck on, then it will help you in stages and show you the answer.

This app gives you *instant* homework answers, all subjects Get it: https://socratic.org/a/p04dj0084n

6 0

3 years ago

What you find 420% of 85 what are you looking for?

muminat

Answer:

420% of 85 = 357

Step-by-step explanation:

85/x=100/420

(85/x)*x=(100/420)*x - we multiply both sides of the equation by x

85=0.23809523809524*x - we divide both sides of the equation by (0.23809523809524) to get x

85/0.23809523809524=x

357=x

x=357

3 0

3 years ago

Airplane descended 375 m in 10 seconds. What was the airplane’s rate of change in elevation (how many meters does the airplane d

34kurt

Answer:

37.5 m/s

Step-by-step explanation:

$\text{Rate of descent } = \dfrac{\text{descent}}{\text{time}} = \dfrac{\text{375 m}}{\text{10 s}}= \textbf{37.5 m/s}$

3 0

3 years ago