1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
uranmaximum [27]
3 years ago
10

A circle with the equation (x + 4)2 + (y + 2)2 = 36 is reflected over the line x = 1. What is the equation of the image? (x + 4)

2 + (y - 2)2 = 36 (x - 6)2 + (y + 2)2 = 36 (x + 6)2 + (y - 2)2 = 36 (x - 4)2 + (y + 2)2 = 36

Mathematics
2 answers:
Nataly_w [17]3 years ago
8 0

Answer:

(x - 6)² + (y + 2)² = 36

Step-by-step explanation:

Centre before reflection: (-4,-2)

Centre after reflection:

(-4+5+5,-2) = (6,-2)

(x - 6)² + (y + 2)² = 36

Rasek [7]3 years ago
3 0

Answer:

B

Step-by-step explanation:

Currently, the graph looks like the attachment.

The centre of this circle is at (-4, -2), but when we flip it over the line x = 1 (the blue line on the picture), the centre will become ((1- -4) + 1, -2) = (6, -2).

Look for the equation (x-h)^2+(y-k)^2=r^2 that matches this center. We want the center (h, k) to be (6, -2), so our equation should look something like:

(x-6)^2+(y+2)^2=36

The answer is B.

You might be interested in
*UNIT RATE AND PROPORTIONS*
Advocard [28]

Answer:

Unit rate is $7 per pound.

6 pounds will cost $42

You can buy 10 pounds for $70

Step-by-step explanation:

28/4 = $7 --> Unit rate is $7 per pound.

7 × 6 = $42 --> 6 pounds will cost $42

70/7= 10 --> You can buy 10 pounds for $70

3 0
2 years ago
A container has peppermint gum and spearmint gum. There are 40 pieces of peppermint gum in the container and the ratio of pepper
Anit [1.1K]

Answer:

16 pieces of spearmint gum

Step-by-step explanation:

For every five pieces of peppermint gum, there are 2 pieces of spearmint gum.

First, divide the total number of peppermint gum by 5:

40/5 = 8

Multiply this number by 2 (pieces of spearmint) to get the number of spearmint gum pieces:

8 x 2 = 16

Proof:

Ratio is 40 : 16, dividing this by 8 will reduce the ratio to 5:2

7 0
2 years ago
A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is
Norma-Jean [14]

Answer:

A. P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

Step-by-step explanation:

Working with an ordinary Normal Distribution of probability and trying to find the probabilities asked in it could be difficult, because there´s no easy method to find probabilities in a generic Normal Distribution (with mean μ=4 and STD σ=0.1). The recommended approach to this question is to use a process called "Normalize", this process let us translate the problem of any Normal Distribution to a Standard Normal Distribution (μ=0 and σ=1) where there´s easier ways to find probabilities in there. The "Normalization" goes as follows:

Suppose you want to know P(x<a) of the Normal Distribution you are working with:

P(x<a)=P( (x-μ)/σ < (a-μ)/σ )=P(z<b)   ( b=(a-μ)/σ )

Where μ is the mean and σ is the STD of your Normal Distribution. Notice P(z<b) now it´s a probability in a Standard Normal Distribution, now we can find it using the available method to do so. My favorite is a chart (It´s attached to this answer) that contains a lot of probabilities in a Standard Normal Distribution. Let´s solve this as an example

A. We want to find the probability of the cork being defective (P(x<3.85) + P(x>4.15)). Now we find those separated and, then, add them for our answer.

Let´s begin with P(x<3.85), we start by normalizing that probability:

P(x<3.85)= P( (x-μ)/σ < (3.85-4)/0.1 )= P(z<-1.5)

And now it´s time to use the chart, it works like this: If you want P(z<c) and the decimal expansion of c=a.bd... , then:

P(z<c)=(a.b , d)

Where (a.b , d) are the coordinates of the probability in the chart. Keep in mind that will only work with "<" (It won´t work directly with P(z>c)) and we will do some extra work in those cases.

P(z<-1.5) is in the coordinates (-1.5 , 0)

P(z<-1.5)= 0.0668

P(x<3.85)= 0.0668

Now we are looking for P(x>4.15), let´s Normalize it too:

P(x>4.15)=P( (x-μ)/σ < (4.15-4)/0.1 )=P(z>1.5)

But remember the chart only work with "<", so we need to use a property of probability:

P(z>1.5)= 1 - P(z<1.5)

Using the chart:

P(z<1.5)=0.9332                             (1.5 , 0)

P(z>1.5)= 1 - 0.9332

P(z>1.5)= 0.0668

P(x>4.15)= 0.0668

And our final answer will be:

P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

4 0
3 years ago
Plz help. pl and thank u
Verizon [17]

Answer: sorry i cant read it its to small

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Needing help solving this question. Not sure on how to start the problem to solve it.
VashaNatasha [74]
Divide -3 from both sides leaving you with just m

make sure you switch the inequality sign
3 0
3 years ago
Other questions:
  • Pack-Em-In Real Estate is building a new housing development. The more houses it builds, the less people will be willing to pay,
    12·1 answer
  • For thousands of​ years, gold has been considered one of the​ earth's most precious metals. one hundred percent pure gold is​24-
    12·1 answer
  • How does the area of a square changes when the side length is tripled
    12·1 answer
  • Floyd is an aspiring music artist. He has a record contract that pays him a base rate of $200 a month and an additional $12 for
    10·1 answer
  • Evaluate 2d + 3 when d = 8
    14·1 answer
  • The volume of a cylindrical soup can is represented by the expression πr3 + 7πr2, where r is the radius of the cylinder. Which s
    10·1 answer
  • When Anna bought her new truck, there were 60 different ways his truck could be equipped. He had five choices of engines and thr
    8·1 answer
  • Is the equation y=3x + 10 proportional? Explain how you know
    8·2 answers
  • 4 Amanda's bedroom is a rectangle 415 cm long by 295 cm wide.
    9·1 answer
  • 10 Points + BRANIEST
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!