Y=x+16
X^2+y^2=128
Find the intersection of the line and the circle

Answers

Answer 1

Answer:

(-8, 8)

Step-by-step explanation:

Plug in the y from the top equation into the y of the bottom equation

x² + (x + 16)² = 128

x² + x² + 32x + 256 = 128

Subtract 128 from both sides to make it equal to zero

2x² + 32x + 256 = 128

                 - 128    - 128

2x² + 32x + 128 = 0

Divide both sides by 2

(2x² + 32x + 128)2 = 0/2

x² + 16x + 64 = 0

Factor the equation

(x + 8)(x + 8) = 0

We see that x will have to be -8 for it to equal zero

so x = -8

Plug the new x into one of the original equations; let's use the top one

y = -8 + 16

y = 8


Related Questions

The coordinates of a figure are (0, 2), (3, 4), (-1, -3), and (2, -1). What is the most specific classification?

A. quadrilateral

B. Parallelogram

C. isosceles trapezoid

D. rectangle

Answers

Answer:

B. Parallelogram

Step-by-step explanation:

It should look something like this which is a parallelogram.

Parallogram is like a rectangle or square that is kinda slanted.

    ________

  /                /

/_______/

Ben plants 6 rows of roses, with the same number of roses in each row.

Answers

Answer/Step-by-step explanation:

r are roses,

r + 6

Ben plants 6r

[RevyBreeze]

50 POIINTS AND BRAINLIEST IF YOU ANSWER THESE QUESTIONS QUICK AND CORRECT PLS HURRY!!!

Answers

first one 200 and second 6

Answer:

Step-by-step explanation:

1. 1300/65=20 sales

2.2+2=4

22-4=18

18/2=9

unknown number of inch=x+3

x=9

(9)+3=11

unknown number is 11 inch.

9(b + 5) – 4b
what is this equivalent expression?
=

Answers

Answer:

[tex]9(b + 5) - 4b = \\ 9b + 45 - 4b = \\ 5b + 45 = b + 9[/tex]

Hope it helps you<3

[tex] \looparrowright \sf9(b + 5) - 4b[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9b + 45 = - 4b[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9b + 4b + 45 = 0[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf5b + 45 = 0[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf5b = - 45[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \: b = - 45 \div 5[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf \: b = -9[/tex]

Sum of the digits of a 2-digit number is 9. When the digits are reversed, it is found that the resulting number is smaller then the original number by 63. Find the number.​

Answers

Answer:

81

Step-by-step explanation:

the sum of adding 81 is 9, reversed 81 is 18 and 81 - 18= 63

Answer:        ans  is 36                                                                        

y-step explanation:

what is the rule for this table?

Answers

Your answer is
+6 input
+2 output

Ahmed sells different types of cake in his shop.
The cost of each cake depends on its type and its size.
Every small cake costs $x and every large cake costs $(2x + 1).

The number of small cherry cakes that can be bought for $4 is the same as the number of large
cherry cakes that can be bought for $13.
Find the cost of a small cherry cake.

Answers

Answer:

$0.80

Step-by-step explanation:

Let y be the number of cakes that can be bought then...

xy=4

y(2x+1)=13

Distribute the y to each term in the parentheses...

y(2x)+y(1)=13

2xy+y=13

xy=4

Multiply the second equation by 2...

2xy+y=13

2xy=8

Solve the equation using elimination (subtract the two equations and eliminate 2xy)...

y=13-8=5

Now, plug 5 back in for y to solve for x...

xy=4

5x=4

Divide both sides by 5

x=$0.80

I need explanation on the 3 times an odd integer and explanation of the questions.

You’re the god if u can so answer this question.

Answers

I'm going to try the strategy of "narrow it down slowly."

Let's start with how many perfect squares there are less than 1000. We have

0^2 = 0

1^2 = 1

2^2 = 4

3^2 = 9

...

30^2 = 900

31^2 = 961

32^2 = 1024

This means there are 0...31 so 32 perfect squares less than 1000.

Three times an odd integer... this is tricky. If you think about it, if n is divisible by three, then n must have a factor of 9 in it (why?), so [tex]\sqrt n[/tex] must have a factor of three! Boom, now we just have to count how many odd numbers from 0...31 are divisible by three. The first one is 1(3), the second is 3(3), the third is 5(3), the fourth is 7(3), and the fifth is 9(3). This means there are five such numbers.

To estimate the proportion of city residents who shop online, a researcher visits a mall on a weekday morning and

asks people she encounters to share their experiences with online shopping, including this question: "Do you shop

online at least once each week?" The results show that 32% of shoppers shop online at least once per week. Which

of these describes a likely source of bias present in the survey results?

O Response bias may be present because people may not be truthful with their responses.

O Question wording bias may be present because the question asked may exclude important information

O Nonresponse bias may be present because people in a mall may not want to answer questions.

O Undercoverage bias may be present because people in the workforce and many younger people could be

excluded

Answers

Answer:

Undercoverage bias may be present because people in the workforce and many younger people could be excluded.

Step-by-step explanation:

Chen is baking muffins and banana bread for a brunch buffet.He needs. 3 1/5cups of flour to make the muffins and 3 2/3cups of flour to make the banana bread.Which is the best estimate of the number of cups of flour that Chen needs to bake both recipes?

Answers

Answer:

6 13/15

Step-by-step explanation:

Make both the numerator and denominator the same. Thean add the fractions together to get 6 13/15

Select all equations that are equivalent to x2 + 6x= 16.
A) x2 + 6x +9=0
B C2 + 6x +9 = 16
C. x2 + 6x +9= 25
D. (a + 3)2 = 0
E, (x + 3)2 = 16
F. (x + 3)2 25

Answers

Answer:

(b) c2+6x+9=16

(e) (x+)2=16

Step-by-step explanation:

HELP HELP MEEEEEE PLEASE 100 points ANYONE PLS

Answers

First and third are the correct answers

Answer:i want to say first third

Step-by-step explanation: hope this is helpful

PLEASE ANSWER ILL GIVR BRAINLIEST 50 POINTS
Use the parabola tool to graph the quadratic function f(x)=x2−12x+27.

Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

vertex = (6, -9)

point = (0, 27)

see attached diagram for graph

Step-by-step explanation:

[tex]f(x)=x^2-12x+27[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

Rewrite function in vertex form:

[tex]\implies f(x)=(x-6)^2-36+27[/tex]

[tex]\implies f(x)=(x-6)^2-9[/tex]

Therefore, vertex = (6, -9)

As the coefficient of [tex]x^2[/tex] is positive, the parabola will open upwards (u shaped).

Point to plot:  

f(0) = 27

Therefore, point = (0, 27)

Find the value of x.

Answers

Answer:

  x = 12

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°.

  (5x +4)° +(4x +9)° +(9x -6)° +(4x +1)° +(7x +4)° = 360°

  29x +12 = 360 . . . . . divide by °, collect terms

  29x = 348 . . . . . . . subtract 12

  x = 12 . . . . . . . . . divide by 29

Answer:

x=11.58

Step-by-step explanation:

The sum of an exterior angle of a polygon is 360°,

9x-6+4x+9+5x+4+7x+4+4x+1=360°

29x+24=360

29x=360-24

29x=336

x=336/29

x= 11.586

x=11.58

Hope it helps! :)

please help!!-
-
-
-
-
-
-

Answers

you want a better price to pay the bill on a daily plan or manual to make sure the balance was not included to pay to the insurance to get rid if they had been approved to be paid in a year for 170m months to come and legendary domortu for a few days now for a long weekend and Golden is a bit crazy but I'm not even getting out here to get it out and I don't want you want it or don't know me or you know I am not a big fan of your music and legendary domortu but if someone could give them some pets from your bank to help us find out the details for 200m

What is the equation of the line that passes through the point (3,−5) and has a slope of 0?

Answers

Slope zero
Y=0x+b
Y=b
Y=-5

Answer:

The answer is y + 5 = 0

Step-by-step explanation:

We know that, the equation of a line passing through point P(a, b) and slope m is given by

(y – b) = m(x – a) ...(1)

Here, The given point is P(3, -5) and slope is m = 0

from (1) we get

[(y – (-5)] = 0(x – 3)

y + 5 = 0 is the required equation of line.

Thus, The answer is y + 5 = 0

-TheUnknownScientist 72

Huilan's age is two times Thomas's age. The sum of their ages is 87 What is Thomas's age?​

Answers

Answer:

29

Step-by-step explanation:

We can make an equation from the word problem:
H +T =87
2T+T=87

3T=87

87÷3=29

T=29
This is our answer but we can substitute this into our equation:
H +T = 87

2T+T =87
2(29)+29 = 87

58+29=87

87=87
So 29 is ✅

WILL MARK YOU BRAINLIEST NO FAKE ANSWERS! Name a pair of same side exterior angles.

Answers

Answer:

Angles 5 and 9 or angles 1 and 8

Step-by-step explanation:

Given m and n are parallel and there are two transversals, one of which doesn't form exterior angles hence angles 5 and 9 as well as angles 1 and 8 are the same side exterior angles

What is the area of a picture of a silent that are 12 inches? Use The formula A=s^2, where is the length of one side


Answers

Answer:

144 in²

Step-by-step explanation:

Area of square: [tex]s^2[/tex]

Here s is 12 inches.

Using the formula:

area:  [tex]s^2[/tex]

area: 12²

area: 12 * 12

→ 144 in²

The formula to find area of square is:

[tex] \tt \: area = {s}^{2} [/tex]

Where,

s is side

In our case,

s = 12 inches

So,

[tex] \sf \: area = {12}^{2} [/tex]

[tex] \boxed{ \bf \: area = 144 \: {in}^{2}}[/tex]

Write the equation of the line that passes through the given points. (2,2.5) and (0,-2.5)

Answers

Answer:

y = 2.5x - 2.5

Step-by-step explanation:

slope is y2-y1 / x2-x1

so

2.5- (-2.5)/ 2 - 0

5/2

2.5 for your slope

Hi, I need some help with this slope problems
It’s due tomorrow, some help with them would really help
Thanks

Answers

1. D
2. Y= .25x-1.5
3.
4. M= -9/2 y-intercept = -12
5. M= -2 y= 0

7. A. (I think)
8. Y=2x-18

Find the circumference of the circle. Use 3.14 for
23ft

Answers

Answer:

144.44 units

Step-by-step explanation:

C = 2 * 3.14 * 23

C = 6.28 * 23

C = 144.44 units

pls help rn pls pls pls if u answer correct ill mark u as brainliest

Answers

Answer:

the answer is 3

Step-by-step explanation:

is this a joke

What is the factored form of the expression x2 − 81

Answers

Answer:

(x + 9)(x - 9)

Step-by-step explanation:

Apply the Difference of Two Squares formula: x² - y² = (x + y)(x - y)

Rewrite 81 at 9²

⇒ x² - 81 = x² - 9² = (x + 9)(x - 9)

Answer:

[tex]\left(x+9\right)\left(x-9\right)[/tex]

Step-by-step explanation:

[tex]x^2 - 81[/tex]

factor 81 as 9²

[tex]x^2-9^2[/tex]

using formula: a² -b² = (a+b)(a-b)

[tex]\left(x+9\right)\left(x-9\right)[/tex]

A cylinder with a base diameter of x units has a volume
of cx cubic units.
Which statements about the cylinder are true? Select
two options.
The radius of the cylinder is 2x units.
The area of the cylinder's base is xx2 square units.
The area of the cylinder's base is
rxsquare units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units.
Mark this and return
Save and Exit
Submit
ity.com/ContentViewers/AssessmentViewer/Activit

Answers

Answer:

use symbolab

Step-by-step explanation:

the interior angles of a pentagon are 100°,×°,(3×+30)°,(2×-10)°,and 80°. Find ×​

Answers

Step-by-step explanation:

Sum of the interior angles of a Pentagon = 540

Therefore, 100+x+(3x+30)+(2x-10)+80=540

100+x+3x+30+2x-10+80=540

Group like terms

x+3x+2x=540-100-30+10-80

6x=340

6x=340

6 6

x=56.6

Countries with the highest populations in the world also have the highest population densities. True False.

Answers

Countries with the highest populations in the world also have the highest population densities is False.

What is a population?

The number of people living in a country is known as population.

What is population density?

The number of people living in a unit area is called population density. It is the ratio of the population of the country and the area of the country.

Countries with the highest populations in the world also have the highest population densities.

This statement is false because the population density depends on the area.

For example - China is having the first rank in population but its population density is 153 persons per kilometer square is much lesser than India which has a population density is 403 persons per kilometer square.

More about the population link is given below.

https://brainly.com/question/905400

Answer:

It is false

Step-by-step explanation:

I took the test

How many significant figures are in the measurement 1. 050 L? a. 1 b. 2 c. 3 d. 4 Please select the best answer from the choices provided A B C D.

Answers

The answer is D because when you look at the number 1.050 the one number in front of the decimal counts and since there is a value in front of the decimal the rest of the numbers count.

In the diagram shown, altitude AC is drawn from a right angle to BD in such a way that BC: DC = 4:1 Find the length of DC algebraically. Show your work below.​

Answers

Applying the altitude theorem and solving algebraically, the length of DC is: 6.

What is the Altitude Theorem?

If an altitude of a right triangle divides an opposite side into a and b, based on the altitude theorem, the height (h) of the altitude = √(ab).

Solving algebraically:

Let DC = x

Therefore:

BC = 4x

Applying the altitude theorem, we would have:

12 = √(4x × x)

12 = √(4x²)

12 = 2x

12/2 = x

6 = x

x = 6

Therefore, DC = x = 6.

Learn more about altitude theorem on:

https://brainly.com/question/10612854

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

?=35

Step-by-step explanation:

Answer:

5/7 = 25/35

Step-by-step explanation:

First look at the numerators of the fractions. One fraction has both a numerator and denominator. Find the number that this numerator is multiplied by to get to the numerator that is missing its denominator. Multiply the known denominator by this number to find the unknown denominator.

Basically, what number did we multiply to get 25? its 5 (5x5=25)

So, multiply 7 by 5 and you'll get 35

Hope this helps!

Other Questions
width is 4 cm hight 8 cm how much square Mary and John, a young couple, come to you asking for financial advice. They recently graduated and have found entry-level positions in their chosen professions. They never received any formal financial education, but someone did give them a couple of The Wealthy Barber, and they read it. Now they want to take action and begin saving for their future. Right now, they wish to save money for their 1-year old daughters college/university education. They know how the Registered Education Savings Plan (RESP) works and consider themselves moderate risk-takers, given that they have an 18-year time horizon. However, they want to know how to invest through lump-sum (PMT = 0) or dollar cost (PV = 0) averaging? Assume they could invest a maximum of $3,000 per year and earn a 6% annual return. Your answer should address the following: a) You will explain both the terms in simple language to the couple. (2 Marks)b) Explain the advantage and disadvantages of both strategies. (4 Marks)c) Recommend one strategy based on the discussion. There is no right or wrong answer here. Marking will be given based on your argument and conclusion. (1.5 Marks) please help me with this, please write explanation Write and equation in slope intercept form of the line that has a slope of -6 and passes through the point (3,-4). The measures of the angles of triangle ABC are in the ratio 2:4:9. What are the measures of the angles. help Which of the following is the best reason many southerners feared theabolition of slavery?The international slave trade was a growing businessIt would give the South more political powerSlave labor was necessary for the Southern economyThey feared that the freed slaves would be given equal political rights Use IF functions to calculate the regular pay and overtime pay based on a regular 40-hour workweek in cells E5 and F5. Pay overtime only for overtime hours. In cell G5, calculate the gross pay based on the regular and overtime pay. Abrams regular pay is $398. With 8 overtime hours, Abrams overtime pay is $119.40. This list shows the weight of three vegetables Frank bought to make stew.The potatoes weighed 2 7/8 pounds.The green beans weighed 1 1/4 pounds.The peppers weighed 2 1/2 pounds.How many more pounds of vegetables would he need to have exactly 10 pounds of vegetables for his stew? Two positive integers differ by 9. If the squares of the integers are added, the result is 125. Findthe two integers. What is the percent of change from 55 to 22? is "with the sleeves of his tight black T-shirtrolled up" a imagery? How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is Choose. Units. The width of the rectangle is Choose. Units. The area of the rectangle is Choose. Square units. The area of the triangle is half the area of the rectangle, so the area of the triangle is Choose. Square units. The heart rate of 10 football players is sampled. The rates, measured in beats per minute, are62, 74, 74, 64, 76, 64, 80, 76, 68, 76What is the best estimate of the population mean for heart rate among football players?Enter your answer in the box. beats/minPLEASE ANSWER ASAP Kent paid $24.64 to ship 11 packages. Each package was the same size and weight. How much did it cost to ship one package? Write the ratio as a fraction in the simplest form.The ratio of 96 cent to 20 cents is When a cardiac arrest occurs and an aed becomes available, it should be used as soon as possible. please help me with this I add 12 to a certain number and then double the result. The answer is 42. Find the original number (SAT Prep) If the lengths of two sides of a triangle measure 8 and 13 what could the length of the third side measure(A) 6(B) 21(C) 3(D) 4Hint its not D. How would one determine population change?(5b)add the deaths and births then subtract the immigrantsadd the births and immigrants then subtract the deaths and emigrantsO add the deaths and immigrants then subtract the birthso add the births and immigrants then subtract the emigrants plus births