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2 years ago

Identify the center of the circle whose equation is (x - 2)2 + (y + 8)2 = 16.

Mathematics

2 answers:

qwelly [4]2 years ago

7 0

I believe the answer to your question would be x = -y + 2

astra-53 [7]2 years ago

3 0

2x - 4 + 2y + 16 = 16
16 - 4 = 12
2x + 2y + 12 = 16
16 - 12 = 4
4/2 = 2x + y
2/2 = 1x + y

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What is the solution for the system of equations {9x+8y=3 6x−12y=−11?

lions [1.4K]

Answer:

( - $\frac{1}{3}$ , $\frac{3}{4}$ )

Step-by-step explanation:

Given the 2 equations

9x + 8y = 3 → (1)

6x - 12y = - 11 → (2)

To eliminate the y- term multiply (1) by 1.5

13.5x + 12y = 4.5 → (3)

Add (2) and (3) term by term

(6x + 13.5x) + (- 12y + 12y) = (- 11 + 4.5)

19.5x = - 6.5 ( divide both sides by 19.5 )

x = $\frac{-6.5}{19.5}$ = - $\frac{1}{3}$

Substitute this value into either of the 2 equations and solve for y

Using (1), then

- 3 + 8y = 3 ( add 3 to both sides )

8y = 6 ( divide both sides by 8 )

y = $\frac{6}{8}$ = $\frac{3}{4}$

Solution is (- $\frac{1}{3}$ , $\frac{3}{4}$ )

6 0

2 years ago

Out of the 150 students at a summer camp, 72 signed up for canoeing. there were 23 students who signed up for trekking, and 13 o

True [87]

Answer:

Approximately 45% students signed up for neither canoeing or trekking.

Step-by-step explanation:

First we subtract the number of the students who signed up from the number of the total students to find the number of the students who did not signed up for either.

But there are 13 students who signed up canoeing and also for trekking.

Hence the number of students they signed up for activity is

72 + 23 - 13 = 82

And the number of students they not signed up for any activity is

150 - 82 = 68

so 68 students signed up neither for trekking nor canoeing. The percentage of those students are :

$\frac{68}{150}$ × 100 = 45.3333%

Approximately 45% students signed up for neither canoeing or trekking.

8 0

2 years ago

I need help please.

Rudiy27

Answer:

0.167, 0.164, 0.16

Step-by-step explanation:

In decimals, the closer it is to 1 the larger it gets. 0.167 is smaller than 0.164 because 0.164 is closer to one, which makes it greater.

8 0

2 years ago

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.

Finger [1]

Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

For this cae that one buggy whip would be defective is $p = \frac{5}{20}=0.25$

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=5, p=0.25)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

3 0

3 years ago

DF=78, DE=5x-9, and EF-2x+10, find EF

lbvjy [14]

Answer:

As e is point between df. So we can write df as

df = de + ef

As given df = 78 , de = 5x - 9 , ef = 2x + 10.

So we can write

78 = 5x - 9 + 2x + 10

78 = 7x + 1

On subtracting 1 on booth side

78 - 1 = 7x +1 - 1

77 = 7x

On dividing both side by 7.

11 = x

So x = 11.

So ef = 2x + 10 = 2*11 + 10 = 22 + 10 = 32

Step-by-step explanation:

8 0

2 years ago