18. Find the equation of the circle containing the points (-1.-1) and (3, 1) and with the centre on the line x-y + 10 = 0​

Answers

Answer 1

Answer:

x^{2} +2x+y^{2}+2y= 18

Step-by-step explanation:

equation of circle is:

[tex]x^{2}+y^{2}=r^{2}[/tex]

using distance formula and substituting value,

[tex](3-(-1))^{2} +(1-(-1))^{2}=r^{2}[/tex]

solving,

r=[tex]2\sqrt{5}[/tex]

for equation of circle,

[tex](x-(-1))^{2} +(y-(-1))^{2} =20[/tex]

on solving,

[tex]x^{2} +2x+1+y^{2}+2y+1=20[/tex]

on solving,

[tex]x^{2} +2x+y^{2}+2y= 18[/tex]


Related Questions

Can someone please help me out

Answers

A= 3,2
B= -1,-1
C= 3,4
D= 1,4

Which value of v makes 12 = 12 +
V – 8
a true statement?
2
Choose 1 answer:
А
v=8
B
v= 10
v= 12
D
v= 14

Answers

The answer would be A. I gochu homie

HELP ME PLEASE NEED HELP

Answers

Answer:

y = -3x - 6

Step-by-step explanation:

What is the value of c in the equation below?

2 Superscript negative 4 Baseline times 2 squared = a Superscript b Baseline = c

Answers

Answer:  

c

Step-by-step explanation:  

Answer:

1/4

Step-by-step explanation:

Show work!!!!!!!!!!!!!!!!

Answers

33.5 - 21.9 = 11.6 this is the answer to your question

Chris plays basketball every 2 days and football every 5 days. The last day he played both sports on the same day was on June 13th. What is the next day in June that he will play both basketball and football on the same day?

Answers

Answer:

They will both occur on the 28th of june.

Step-by-step explanation:

This will happen bc you are trying to find same multiples of the two numbers

2 x 5 = 15

3 x 5 = 15

add 15 to 13 and you will get your date.

**IF ANYONE IS AN EXPERT IN MATH PLEASE HELP.**

i’ve figured out the answer to this problem but i have to check which i dont know how. Could anyone please help me on this? how do you check your answer?

Answers

To check you're answer just fill in 18.7 for h in the original problem.

6th grade math !!!!!!!!!!!!!!!!

Answers

Answer:

4th one

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

How are angle 4 and angle 5 related?

Answers

they are supplementary angles

Answer:

C supplementary angles

Step-by-step explanation:

Reason: They Both Add Up To 180 Degrees

pls help!!
(don’t mind the circles on the numbers)
pls try them all, but ill be okay even if you just try one or however many.

Answers

Answer: 35. The equation would be y = 17/2x

Answer:

32) yes, linear

33) no

34) yes

Step-by-step explanation:

32) if you look at the difference in the y-values and the difference of the x-values you will see that they all equal 3; for example, 24/8, 21/7, 18/6

33) following same method as for #32, there is not a consistent ratio of change between x-and-y values

34) yes, constant ratio is 10

Millie expected 20 friends to show up to her birthday party, but 24 attended. What was
her percent error? Round to the nearest percent.

Answers

Answer:

Her percent error was: ≈ 17% (whole percent)

Step-by-step explanation:

Given

Approximate value = 20 friends

Exact Value = 24 friends

To determine

Percent error

Using the formula to calculate the Percent error

Percent error = | Approximate Value| - Exact Value | / | Exact value | × 100

                       = | 20 - 24 | / | 24 | × 100

                       = | - 4 | / | 24 | × 100

Apply absolute value: |-a| = a,   a>0

                       = 4/24 × 100

                       = 16.67 %

                       ≈ 17% (whole percent)

Thus, her percent error was: ≈ 17% (whole percent)

Line a passed through points (-2,1) and (2,9). Which is parallel to line a?

Answers

Answer:

D

Step-by-step explanation:

Line A's slope: 9-1/2+2 = 8/4 = 2

y = 2x+b

y = 2x-5

If the slope of 2 lines are equal, then the lines are parallel.                    

What is the measure of Zx?
Angles are not necessarily drawn to scale.
B
20
35
A-
C
What is the measure of x?

Answers

Answer:

x = 145

Step-by-step explanation:

x and 35 are adjacent angles and are supplementary, sum to 180° , then

x + 35 = 180 ( subtract 35 from both sides )

x = 145

at school, 460 of the students walk to school.

The number of students who bike to school is 5% of the number of students who walk. How many students bike to school?

Answers

Answer:

460/100 X 5 = 23

23 bike to school xx

(geomatry) Pleasee help I'll give brainest and thanks :)

Also please don't answer if you don't know!! Thanks in advance

Answers

Answer:

JML=142 degrees

Step-by-step explanation:

This shape is a rhombus, as all 4 sides are equal, but the angle measures are not. One of the properties of a rhombus is that opposite angles are congruent, and adjacent angles are supplementary. Only the second one is important. Since angles KLM and angle JML are supplementary, the equation KLM+JML=180 can be used. KLM is then substituted by the given angle measure, 38 degrees, to get an equation such as JML+38=180. Now, to solve for JML, 38 must be subtracted from both sides of the equation, which leaves teh answer of JML=142.

How much more money is needed to make $10?
?
$5.95
$10

Answers

$4.05 is the answer I’m pretty sure

Given the circumference of a circle is 8π centimeters, calculate the area of the circle in terms of π.

Answers

Answer:

16π cm²

Step-by-step explanation:

circumference = 2πr

Area = πr²

We need to determine r to calculate the area

2πr = 8π

Divide both sides of the equation by 2π to find r

r = 4

Now, we determine area.

area =  πr² =   π4² = 16πcm²

Answer:

[tex]\Large\boxed{\sf{16\pi\text{cm}^2}}[/tex]

Step-by-step explanation:

The formula for the circumference of a circle can be used to solve this problem.

[tex]\underline{\text{CIRCLE OF A CIRCUMFERENCE FORMULA:}}[/tex]

[tex]:\Longrightarrow: \sf{C=2\pi r}[/tex]

[tex]\text{AREA:}= \sf{\pi r^2}[/tex]

[tex]\sf{2\pi r=8 \pi}[/tex]

You have to divide by 2 from both sides.

[tex]\sf{\dfrac{2\pi r }{2}=\dfrac{8\pi}{2} }[/tex]

Solve.

Divde the numbers from left to right.

8/2=4

r=4

[tex]\sf{\pi r^2=\pi4^2}[/tex]

Solve by exponents.

[tex]\sf{4^2=4*4=\boxed{\sf{16}}[/tex]

[tex]\Longrightarrow: \boxed{\sf{16\pi \text{cm}^2}}[/tex]

Therefore, the correct answer is 16πcm².

I hope this helps. Let me know if you have any questions.

Al, Tom and Joe share €3000.
The ratio of the amount Al gets to the amount Tom gets is in the
ratio 5:4
Joe gets 1.5 times the amount Tom gets.
Work out the amount of money that Tom gets.

Answers

Answer:

Tom's share = €800

Step-by-step explanation:

Given that:

Amount shared by Al, Tom and Joe = €3000

Ratio of Al's share to Tom's share = 5 : 4

Joe's share = 1.5(Tom's share) = 1.5(4) = 6

Therefore,

Ratio of Al, Tom and Joe = 5 : 4 : 6

Let,

x be the number of times of amount each get.

5x + 4x + 6x = 3000

15x = 3000

Dividing both sides by 15

[tex]\frac{15x}{15}=\frac{3000}{15}\\x=200[/tex]

Tom's share = 4x = 4(200) = €800

Hence,

Tom's share = €800

f(x)= (x-1)(x(x+1)+2x) find all rational zeros​

Answers

Answer:

x = 0, x = 1, x = - 3

Step-by-step explanation:

To find the zeros, let f(x) = 0 , that is

(x - 1)(x(x + 1) + 2x) = 0  ← distribute and simplify parenthesis

(x - 1)(x² + x + 2x) = 0

(x - 1)(x² + 3x) = 0 ← factor out x from the second parenthesis

x(x - 1)(x + 3) = 0

Equate each factor to zero and solve for x

x = 0

x - 1 = 0 ⇒ x = 1

x + 3 = 0 ⇒ x = - 3

If a proportional relationship has a constant of proportionality of 6, what is a point that lies on the graph of
the line representing the relationship?

Answers

Answer:

(0,0) (1,6) (2,12)

Step-by-step explanation:

Proportional relationships are also known as direct variation, so I'll refer to it as DV.

The formula for finding DV is y=kx.

In this case, k=6, which is just y=6x. So, essentially..

(0,0) (1,6) (2,12) etc.

The points that lies on the graph of the line representing the relationship are (0, 0), (1, 60, and (2, 12).

What is Constant of Proportionality?

If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality. We can also express it as x is to y at times.

Given:

As, we know that the constant proportionality have

y= k x

where k is constant of proportionality.

We have given that constant of proportionality = 6

So, y= 6x

Now, when x=0

y=0

and, x=1

y= 6

and, x=2

y= 12

Hence, the points are (0, 0), (1, 60, and (2, 12).

Learn more about Constant of Proportionality here:

https://brainly.com/question/29126727

#SPJ2

At an art auction, Geannina's painting sold for over $ 300 $300dollar sign, 300. Write an inequality that describes P PP, the price of Geannina's painting in do

Answers

Answer:

[tex]P > 300[/tex]

Step-by-step explanation:

Given

An art sold for over $300

Required

Represent as an inequality

Represent the price with p.

This implies that; P is over 300

In inequalities; the term "over" means greater than i.e. >

Hence:

P is over 300 is equivalent to [tex]P > 300[/tex]

Two planes leave an airport at the same time. Each flies at a speed of 110 mph. One flies in the direction N 60° E. The other flies in the direction S 40^ E How far apart are the planes after 3 hours?

P.S. We are doing the law of sine

Answers

40^2 is how far apart the planes are after three hours travel

!!PLEASE HELP ME!!
Which of the following is the product of the rational expressions shown below?

Answers

Answer:

(3x^2+6x)/(x^2-16)

Step-by-step explanation:

When multiplying fractions you just go straight accross

this means that our fraction is equal to

((x+2)(3x))/((x-4)(x+4))

The numerator is quite easy 3x(x+2)=3x^2+6x

The second one is a little tough at first and if you need help I would reccomend using khan academy

but pretty much you get x^2-16

put them together and get your answer

what is the length of AC

Answers

Answer:

12 units

Step-by-step explanation:

[tex]\sin 30\degree = \frac{AC}{BC} \\ \\ \frac{1}{2} = \frac{AC}{24} \\ \\ 2AC = 24 \\ \\ AC = \frac{24}{2} \\ \\ AC = 12 \: units[/tex]

2+17x
i need help i can not find the answer

Answers

Answer:

this question is not factorable with rational number so either trick question and the answer is no solution or it is typed wrong

Step-by-step explanation:

Lindsay owns one-third the number of books that Destiny owns. Henry owns a fourth as many books as Destiny. Together they own 57 books. If the equation One-third x + one-fourth x + x = 57models the scenario, how many books does Lindsay own?
12
18
36
48

Answers

Answer: 12

Step-by-step explanation:

The price of a notebook was $3.60 yesterday. Today, the price fell to $3.10. Find the percentage decrease. Round your answer to the nearest tenth of a percent.

Answers

Answer:

13.9%

Step-by-step explanation:

First, we find the amount of decrease.

$3.60 - $3.10 = $0.50

The price decreased $0.50.

Now we find what percent $0.50 is of $3.60.

percent = part/whole * 100%

percent = $0.50/$3.60 * 100%

percent = 0.13888 * 100% = 13.9%

Answer: 13.9%

Someone plz help me this is urgent!

Answers

Answer:

5^12

Step-by-step explanation:

When you have a power to the power, you multiply the powers. Since we have (5^3)^4, we can multiply the powers because we have a power to the power. Since 3 * 4 is equal to 12, we have 5^12. That means that 5^12 is the answer.

Answer:

1250

Step-by-step explanation:

5 times 5 times 5

Sophie earns 6% interest from her bank. If she has $456 in the bank, how much interest will she earn?

Answers

Sophie would earn $27.36 from interest because 456 divided by 0.06 equals 27.36

Convert the following linear equations from slope form to standard form:

y=-3x+7

y = - 2/3x - 3/4

Answers

Answer:

3x+y=7

8x+12y=-9

Step-by-step explanation:

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