What are the solutions of the following system?
=
[x2 + y2 = 25
2x+y=-5
(0, -5) and (-5,5)
(0, -5) and (5, -15)
(0, -5) and (-4,3)
O (0,-5) and (4, -13)
What is it?

Answers

Answer 1

Answer:

Third option: (0,-5) and (-4,3)

Step-by-step explanation:

x^2 + y^2 = 25

2x + y = -5

y = -5 - 2x

x^2 + (-5-2x)^2 = 25

x^2 + 25 + 20x + 4x^2 = 25

5x^2 + 20x + 25 = 25

5x^2 + 20x = 0

5x(x+4) = 0

5x=0 --> x=0

x+4=0 --> x=-4

2(-4) + y = -5

-8 + y = -5

y = 3 --> (-4,3)

2(0) + y = -5

0 + y = -5

y = -5 --> (0,-5)

Therefore, the solutions to the system of equations are (0,-5) and (-4,3)


Related Questions

Bethany is working her way through school. She works two part-time jobs for a total of 23 hours a week. Job A pays $5.70 per hour, and Job B pays $7.10 per hour. How many hours did she work at each job the week that she made $143.70.

Answers

Step-by-step explanation:

x = number of hours A

y = number of hours B

x + y = 23

5.7x + 7.1y = 143.7

from the first equation we get

x = 23 - y

and that we use in the second equation

5.7×(23 - y) + 7.1y = 143.7

131.1 - 5.7y + 7.1y = 143.7

1.4y = 12.6

y = 12.6/1.4 = 9

x = 23 - y = 23 - 9 = 14

she was working 14 hours on job A and 9 hours on job B.

Answer:

she is rich

Step-by-step explanation:

Y'all... Please help I need help with freaking math...

Answers

15% of 850 is 127.5 and therefore the laptop would be reduced by 127.50

The sale price of the laptop is 722.50

Solve.

|x|−5=−20

–4 or 4


no solution


–100 or 100


100

Answers

Answer:

No Solution

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle \large{|x|-5=-20}[/tex]

First, Add both sides by 5 which leaves us [tex]\displaystyle \large{|x|=-15}[/tex]

By definition, an absolute value cannot be negative. There are no x-values that can equal to -15 because no matter what real numbers you put in or substitute, it will never become negative.

Hence, no solution.

Kareem has $20,000 in his savings account that earns 5% annually. How much interest will he earn in one year?

Answers

Answer:

1000

Step-by-step explanation:

5% of my 20000 is 1000 so 21000 total or 1000 anually

2,38 x 5,6 + 9,52 hljkjkk

Answers

Answer:

22.848

Step-by-step explanation:

just type it into a calculator dawg

Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz. If the quiz has 63 questions, how many questions did Jackson answer correctly

Answers

Answer:

49

Step-by-step explanation:

9*7=63

7*7=49

There are 49 questions did Jackson answer correctly.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

Jackson answered every 7 out of 9 questions correctly on a Spanish Quiz.

Total number of questions = 63

Now,

Let number of correct questions = x

So, By the definition of ratio, we can formulate;

⇒ 7 : 9 = x : 63

Solve for x as;

⇒ 7 : 9 = x : 63

⇒ 7 / 9 = x / 63

⇒ 7 × 63 / 9 = x

⇒ x = 7 × 63 / 9

⇒ x = 7 × 7

⇒ x = 49

Thus, There are 49 questions did Jackson answer correctly.

Learn more about the ratio visit:

https://brainly.com/question/2914376

#SPJ2

Can someone explain and answer this question please... I'm very unsure. please and thankyou

Answers

Answer:

Step-by-step explanation:

2.03x13 using standard algorithm

Answers

It came 26 by above calculation.

Ok done. Thank to me :>

write the equation of the line that is parallel to Y=2/3 X -7 and passes through the point (-3,1)

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

parallel means it stays the same so its still 2/3

now use the equation y=mx+b

plug in the slope which is 2/3

so we get y=2/3x+b

then plug in the 2 points

1= 2/3(−3)+b

1=-6/3+b

1=-2+b

add 2 to 1 and -2

3=b

so we get y=2/3x+3

For f(x) = 2x+1 and g(x) = x2 - 7, find (f+ g)(x).
=
A. x2 + 2x - 6
B. 2x3 - 6
C.x2 + 2x+8
D. 2x2 – 15

Answers

Answer:

the answer is A. it good answer

What is the range of the relation?







Question 9 options:



{–4, –2,–1, 2}




{–4, 4}




{–3, –2, 0, 2}




{–4, –2, –1, 0, –2}

Answers

Step-by-step explanation:

the range of a relation or function is the interval or set of valid result values (y values).

in contrast to the domain, which is the interval or set of valid x values.

so, as y values we have here

-3, -2, 0, 2

so, the third answer option is correct.

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
(ASAP)

Answers

Answer:

85°+8x-1+11x+1=180°(being sum of all angle in a

triangle)

or,85°-1+1+8x+11x=180°

or,84+1+19x=180°

or,85+19x=180°

or,19x=180-85

or,19x=95

or,x=95/19

x=5

what does the quantity 28-8 represent?

Answers

You question implies simple subtraction is needed:

28-8=20


The food you ordered at a restaurant costs $32.
lowa sales tax is 7%.
It was good service- You decided to tip 20%.
How much tax would be added to your bill?
What is the cost after tax?

What is the amount after the tip


Find the total cost you will pay

Answers

Answer:The food you ordered at a restaurant costs $32.

lowa sales tax is 7%.

It was good service- You decided to tip 20%.

How much tax would be added to your bill?

What is the cost after tax?

What is the amount after the tip

Find the total cost you will pay

Step-by-step explanation:

Help please.........

Answers

The answer is B

Is long as it is a straight line, it is linear, if it is curvy line, it is nonlinear

Find the equation of a line parallel to line y=6 that passes through the point (-2,-1)

Answers

Answer:

y=-1

Step-by-step explanation:

yeah-ya...... right?

5. Name the side included by

AB
AC
BC
none of these.

Answers

Answer:

AB

Step-by-step explanation:

Side AB is in between angle A and angle B. We can tell this because angle A is at one point, and angle B is at the other.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

find the smaller of 2 consecutive numbers if the sum of the smaller and twice the larger is -4

Answers

Answer:

2

Step-by-step explanation:

n = the smaller even integer

n +2 = the next even integer

The wording of the question translates into:

2n + (n+2) = -4

3n +2 = -4

3n = -6

n = -2

Dwight sits near a bowl of candies in his office. He observed how many candies each person took in a sample of 444 visits. Here is how many candies each person took: 1, 2, 1, 41,2,1,41, comma, 2, comma, 1, comma, 4 Dwight found the mean was \bar x=2 x ˉ =2x, with, \bar, on top, equals, 2 candies. He thinks the standard deviation is s_x =\sqrt{\dfrac{(1-2)^2+(2-2)^2+(1-2)^2+(4-2)^2}{3}}s x ​ = 3 (1−2) 2 +(2−2) 2 +(1−2) 2 +(4−2) 2 ​ ​ s, start subscript, x, end subscript, equals, square root of, start fraction, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 2, minus, 2, right parenthesis, squared, plus, left parenthesis, 1, minus, 2, right parenthesis, squared, plus, left parenthesis, 4, minus, 2, right parenthesis, squared, divided by, 3, end fraction, end square root What is the error in Dwight's standard deviation calculation? Choose 1 answer: Choose 1 answer: (Choice A) A The order of subtraction is incorrect in each of the deviations. (Choice B) B He is missing a deviation in the numerator. (Choice C) C He should only take the square root of the numerator. (Choice D) D He shouldn't square each deviation in the numerator. (Choice E) E There is no error; his calculation is correct.

Answers

Answer: B

Step-by-step explanation:

What is the length of the radius of the circle given the equation ( x + 5)² + (y - 6)² = 49?

Answers

Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

1. 18 is 30% off what number
2. 10 is 25% of _______
3. 54 is 9% of _______
4. 45 is 75% of _______

Answers

2 7.5
That’s all that I could do I hope it help

so I got a question from khan I will give 50 points it is 16− 2r = -3r+ 6r +1
r= equals ?

Answers

Answer:

r = 1/11

Step-by-step explanation:

16r-2r = -3r+6r+1

14r = 3r+1 (combine like terms)

11r = 1

r = 1/11

hi there!! r would equal 3.

what’s the correct answer?

Answers

Answer:

the triangle above is an isoceles triangle

therefore the base angles are equal

So we have:

X + X + 38= 180

2x = 180-38

2x = 142

X = 71°

Answer:

71

Step-by-step explanation:

The two line of length 21 defines that the base angles are equal.

so therefore.

38 degrees + x degrees + x degrees = 180

38 + 2x = 180

2x = 180 - 32

2x = 142

x = 71.

I hope this helps like it and comment if you have more questions or spotted a mistake . thanks

What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.

Answers

The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Recall:

The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Given two points:

(5,−10) and ( 11 , − 12 )

Let,

[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]

Substitute

[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]

Slope (m) = -2/6

Slope (m) = -1/3

Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3

Learn more about slope of a line on:

https://brainly.com/question/3493733

Suppose a book has 100 names listed in each column, with 5 columns per page. The book has 200 pages.
How many books are needed to list all the people in a population of 200 million?

Answers

Answer:

2,000

Step-by-step explanation:

We know that 100 × 5 = 500, so one page has 500 names on it, we can now then infer that each book has 100,000 names on it because we do 500 × 200.

So knowing that there is 100,000 names per book we now then do 100,000 × 2,000 which equals 200,000,000, so we need to do 2,000 books to store the names of 200 million people. Hope this helps.

Giving branliest to correct

Answers

Answer:

2/3

Step-by-step explanation:

In the problem the question is How much longer so that means subtract.

10/12 - 1/6 =2/3

Answer:

maybe 2/3 inches

let me know if its wrong..

help me please help me help

Answers

Answer:

18

Step-by-step explanation:

The question is pretty much asking to find the LCM of the denominators, which is the LCD, Least Common Denominator

First list out the two numbers, then list its multiples,

6: 6, 12, 18, 24

9: 9, 18, 27

since both of them have 18, and its the least, that is the LCD/LCM

Thank You In Advance ;))

Answers

Answer:

17,984,000

Step-by-step explanation:

because it is

can someone help me do this and show work​

Answers

Answer:

Bank A: 24 years, Bank B: 28 years

Step-by-step explanation:

5
9
(
F

32
)

The equation above shows how temperature
F
, measured in degrees Fahrenheit, relates to a temperature
C
, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

A

Step-by-step explanation:

BECAUSE ITS EZ

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