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balandron [24]
3 years ago
13

6. Write the general equation of a circle with the given information. *(x + 4)2 + (y - 3)2 = 24​

Mathematics
1 answer:
trapecia [35]3 years ago
4 0

I think the answer is

2x + 2y = 26

You might be interested in
Simplify h= 105sin (0.0698(90+1)) + 105
IrinaK [193]

Answer:

h= 116.616

Step-by-step explanation:

we have

h= 105sin (0.0698(90+1)) + 105

step 1

Solve (90+1)

h= 105sin (0.0698(91)) + 105

step 2

Solve 0.0698(91)

h= 105sin (6.3518) + 105

step 3

Solve sin (6.3518)

h= 105(0.11063) + 105

step 4

Solve 105(0.11063)

h= 11.616 + 105

step 5

Solve 11.616 + 105

h= 116.616

5 0
3 years ago
Can someone pls explain how to do this
Rama09 [41]

The polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

In the question, we are asked to find the correct representation of A, when the algebraic expression (x² + x)/(x + 3) can be rewritten as the algebraic expression A + 6/(x + 3), where A is a polynomial.

Thus, we can write an equation,

A + 6/(x + 3) = (x² + x)/(x + 3),

or, A + 6/(x + 3) - 6/(x + 3) = (x² + x)/(x + 3) - 6/(x + 3) {Subtracting 6/(x + 3) from the both sides of the equation}

or, A = (x² + x)/(x + 3) - 6/(x + 3) {Simplifying},

or, A = (x² + x - 6)/(x + 3) {Subtracting the two fractions with the same denominator (x + 3)},

or, A = (x² + 3x - 2x - 6)/(x + 3) {Mid-term factorization},

or, A = {x(x + 3) - 2(x + 3)}/(x + 3) {Taking common},

or, A = {(x - 2)(x + 3)}/(x + 3) {Taking (x + 3) common},

or, A = x - 2 {Cancelling (x + 3) from the numerator and the denominator}.

Thus, the polynomial A is represented as <u>x - 2</u>, making <u>option A</u> the right choice.

Learn more about polynomials at

brainly.com/question/11434122

#SPJ1

5 0
1 year ago
Thomas wants to invite Madeline to a party. He has an 80% chance of bumping into her at school. Otherwise, he'll call her on the
mash [69]

Answer:

The probability of Thomas inviting Madeline to the party over the phone is 0.143.

Step-by-step explanation:

Consider the tree diagram below.

The events are denoted as follows:

<em>A</em> = Thomas bumps into Madeline at school

<em>B</em> = Thomas call Madeline on the phone

<em>X</em> = Thomas asks Madeline to the party

The information provided is:

P (A) = 0.80

P (B) = 1 - P (A) = 1 - 0.80 = 0.20

P (X|A) = 0.90

⇒ P (X'|A) = 1 - P (X|A) = 1 - 0.90 = 0.10

P (X|B) = 0.60

⇒ P (X'|B) = 1 - P (X|B) = 1 - 0.60 = 0.40

The conditional probability of event <em>U</em> given that another events <em>V</em> has already occurred is:

P(U|V)=\frac{P(V|U)P(U)}{P(V)}

The law of total probability states that:

P(V)=P(V|U)P(U)+P(V|U')P(U')

In this case we need to determine the probability that Thomas invites Madeline to the party over the phone, i.e. P (B|X).

Use the law of total probability to determine the value of P (X) as follows:

P(X) = P(X|A)P(A)+P(X|B)P(B)

         =(0.90\times 0.80)+(0.60\times 0.20)\\=0.72+0.12\\=0.84

Compute the value of P (B|X) as follows:

P(B|X)=\frac{P(X|B)P(B)}{P(X)}

             =\farc{0.60\times 0.20}{0.84}\\\\=0.14286\\\\\approx 0.143

Thus, the probability of Thomas inviting Madeline to the party over the phone is 0.143.

6 0
3 years ago
How do you find x? Please help
marusya05 [52]
Since you know that DA and DC are equal in length, you can say 2x-3=x+2, when you add 3 to both sides, it becomes 2x=x+5, subtract x from both sides, and you find that x=5
5 0
3 years ago
5. Which value of k will make the
AlexFokin [52]

Answer:

-54

Step-by-step explanation:

25x2+kx+4=0

50+kx+4=0

54+kx=0

54+-54=0

0=0

4 0
2 years ago
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