Mathematics High School

x² + y² = 34
=
y = x+2
Show your working.

Answers

Answer 1

Answer:

[tex]\left \{ {{y=5} \atop {x=3}} \right.[/tex] or [tex]\left \{ {{y=-3} \atop {x=-5}} \right.[/tex]

Step-by-step explanation:

X + Y = 34=y = X+2Show Your Working.
Answer 2

Answer:

(- 5, - 3 ) , (3, 5 )

Step-by-step explanation:

x² + y² = 34 → (1)

y = x + 2 → (2)

substitute y = x + 2 into (1)

x² + (x + 2)² = 34

x² + x² + 4x + 4 = 34

2x² + 4x + 4 = 34 ( subtract 34 from both sides )

2x² + 4x - 30 = 0 ( divide through by 2 )

x² + 2x - 15 = 0 ← in standard form

(x + 5)(x - 3) = 0 ← in factored form

equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 3 = 0 ⇒ x = 3

substitute these values into (2) for corresponding values of y

x = - 5 : y = - 5 + 2 = - 3 ⇒ (- 5, - 3 )

x = 3 : y = 3 + 2 = 5 ⇒ (3, 5 )

Related Questions

awnser pls quickly :)))

Answers

Answer:

P': (5,3)

Q': (10,3)

R': (3,10)

Step-by-step explanation:

PLEASE HURRY, 100 POINTS!!
Another common bet in roulette is on the number being even or odd (not including 0 or 00). If the wheel is spun once, what is the probability of the outcome being an odd number?

Answers

Answer:

9/19  or  47.4% (nearest tenth)

Step-by-step explanation:

A roulette wheel is numbered 1 to 36 with 0 and 00.

Therefore, there is a total of 38 evenly-spaced pockets.

The number of odd numbers from 1 to 36 is 18

(1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35)

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \textsf{Probability of odd number}= \sf \dfrac{18}{38}=\dfrac{9}{19}=47.4\%[/tex]

Roulette wheel contains 1 to 36 numbers excluding 0 and 00

Total nos =38

Total odd nos

{1,3,5,7,9,11,13,15,17,19,21,23,25,29,31,33,35}

Total=18

Probability

18/389/19

Which best describes the strength of the correlation, and what is true about the causation between the variables? it is a weak positive correlation, and it is not likely causal. it is a weak positive correlation, and it is likely causal. it is a strong positive correlation, and it is not likely causal. it is a strong positive correlation, and it is likely causal.

Answers

What best describes the strength of the correlation between variables is that it is a strong positive correlation, and it is likely causal.

What is the correlation between variables?

Corresponds to a statistical relationship, which will be positive when both variables, such as x and y move in the same direction, that is, when one variable increases, the other also increases, being a causal relationship.

Therefore, the relationship can also be negative, meaning that when the value of one variable increases, the values ​​of the other will decrease.

Find out more about positive correlation here:

https://brainly.com/question/4219149

#SPJ4

A lightbulb manufacturer must test a sample of lightbulbs to ensure that quality and safety standards are being met. Which of these methods will produce the most representative sample of the population of lightbulbs made by this company? OA. The manufacturer tests every lightbulb made on Monday. B. The manufacturer tests the last 100 lightbulbs produced each month. OC. The manufacturer tests the first lightbulb off the production line each day OD. The manufacturer tests every 1000th lightbulb off the production​

Answers

Answer:

D

Step-by-step explanation:

It makes the most sense

Badia is the apprentice at the local screws and nails factory. The other day she made some six - inch nails. Charli who works next to her made one and half times as many as Badia, but Siva made twice as many as Charli. They all made a total of 110 six - inch nails.
45. How many did Badia make?
46. How many did Charli make?
47. How many did Siva make?

Answers

Answer:

   45. 20

   46. 30

   47. 60

Step-by-step explanation:

Let :

Badia = xCharli = 1 1/2x = 1.5xSiva = 2(1.5)x = 3x

Solving

x + 1.5x + 3x = 1105.5x = 110x = 20

Solution

Badia = 20Charli = 30Siva = 60

Answer:

Badia made 20 nails

Charli made 30 nails

Siva made 60 nails

Step-by-step explanation:

Let b = number of nails Badia made

Let c = number of nails Charli made

Let s = number of nails Siva made

Given:

Charli made one and half times as many as Badia

⇒ Equation 1:    c = 1.5b

Given:

Siva made twice as many as Charli

⇒ Equation 2:    s = 2c

Given:

They all made a total of 110 nails

⇒ Equation 3:    b + c + s = 110

Substitute Equation 1 into Equation 2:

⇒ s = 2(1.5b) = 3b

Substitute s = 3b and Equation 1 into Equation 3 and solve for b:

⇒ b + c + s = 110

⇒ b + 1.5b + 3b = 110

⇒ 5.5b = 110

⇒ b = 20

Substitute found value of b into Equation 1 and solve for c:

⇒ c = 1.5b

⇒ c = 1.5(20)

⇒ c = 30

Substitute found value of c into Equation 2 and solve for s:

⇒ s = 2c

⇒ s = 2(30)

⇒ s = 60

Therefore:

Badia made 20 nailsCharli made 30 nailsSiva made 60 nails

The area of a DVD is 36π cm. What is the diameter of the DVD?

Answers

Answer:

12 cm

Step-by-step explanation:

shape of DVD is circle

Area of circle = 36π

πr² = 36π

r² = 36

r = √36

r = 6

Diameter (d) = 2r = 2(6) = 12cm

i can not figure this question out someone help pls.

Answers

Answer:

228,5

Step-by-step explanation:

a=10

b=15

The area of rectangle:

S=a*b

S=10*15

S=150

The area of 2 halfcircles (1 circle):

d=10

r=d:2

r=5

S=πr²

S=3,14*5²

S=3,14*25

S=78,5

The area of the figure:

78,5+150=228,5

GIVING BRAINLIEST!!!!!

Answers

Answer:

7x+2y=18

The first one

Step-by-step explanation:

The equation to be perpendicular switches they numbers before the x and y. Also plugging into a graphing calculator like desmos will show you
that

Equivalent fractions for 6/11 and 5/12 using the common denominator

Answers

well, the cheap answer is, simply multiply the top and bottom of one fraction by the other fractions denominator, Check the picture below.

Solve for x.
X=
x +19 7x +9

Answers

Step-by-step explanation:

X+7x=9-19

8x=-10

X=-10÷8

X=1.25

What is the value of x?


Answers

Answer:

x = 52°

Step-by-step explanation:

The angles add up to 360°.

x + 98 + x + 91 + x + 15 = 3603x + 204 = 3603x = 156x = 52°

Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?

Answers

The correct answer is C. n is greater than or equal to 30

Select the correct answer. what is the y-intercept of f(x) = 3x 2? a. (9,0) b. (0,9) c. (0,-9) d. (9,-9)

Answers

The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0. The y-intercept of the line with the function y = 3x + 2 is (0, 2)

Intercept of a line

The y-intercept of a line is the point where the line cuts the y-axis or the point where x = 0.

Given the equation of a line f(x) = 3x +2

If x = 0, them;

f(0) = 3(0) + 2

f(0) = 2

Hence the y-intercept of the line with the function y = 3x + 2 is (0, 2)

Learn more on intercept here: https://brainly.com/question/1884491

#SPJ4

Answer:

answer is (0, 9)

Step-by-step explanation:

did the test. plato.

ur welcome buddy

You are the manager at the town pool. You need to build a fence around the new children's pool area. The pool is 5 feet wide by 8 feet long. You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side. How many linear feet of fencing must you buy? (Use an algebraic approach to receive credit for your solution)​

Answers

The length of the fence which needs to be put around the pool will be 26 feet.

What is a rectangle?

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

You are the manager of the town pool.

You need to build a fence around the new children's pool area.

The pool is 5 feet wide by 8 feet long.

You want the fence to be the same distance "x ft" from all sides of the pool, except you need to put a lifeguard chair at one end of the width, so the fence should be twice as far away from the pool on that one side.

Then the length of the fence which needs to be put around the pool will be

P = 2 (5 + 8)

P = 2 x 13

P = 26 ft

Then the length of the fence which needs to be put around the pool will be 26 feet.

More about the rectangle link is given below.

https://brainly.com/question/10046743

#SPJ1

stuck on these two questions.. finding the indicated limit

Answers

Answer:

1: The limit doesn't exist

2:

Step-by-step explanation:

Question 1:

f(x) = x + 10 for when x approaches 8

18 = 8 + 10 which is NOT true x < 8             18 < 8

f(x) = 10 - x for when x approaches 8

2 = 10 - 8 which is NOT true x ≥ 8                2 ≥ 8

Question 2:

f(x) = 5 - x for when x approaches 5

0 = 5 - 5 which is TRUE x < 5           0 < 5

f(x) = 8 for when x approaches 5

which is NOT x = 5                          8 = 5

f(x) = x + 3 for when x approaches 5

8 = 5 + 3 which is TRUE x > 5           8 > 5

PLEASE HELP WITH THE PICTURE BELOW NEED IT IMMEDIATELY!
50 POINTS!

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's use slope - point form of line to get the required equation ~

[tex]\qquad \sf  \dashrightarrow \:y - y_1 = m(x - x_1)[/tex]

where,

m = slope of the line ( given in question )

[tex] \sf{y_1 = 6} [/tex]

[tex] \sf{x_1 = 9} [/tex]

Now, let's put in the values ~

[tex]\qquad \sf  \dashrightarrow \:y - 6= \dfrac{5}{9} (x - 9)[/tex]

[tex]\qquad \sf  \dashrightarrow \: y - 6 = \dfrac{5}{9} x - 5[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x - 5 + 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: y = \dfrac{5}{9} x + 1[/tex]

So, the correct choice is A

if mJK=(7x-39) and mML=87, find x

Answers

Answer:

https://brainly.com/question/9016553

Step-by-step explanation:

You can see the answers from the exact same question. In the link I pasted.

Not my answer but hope this helps

i would really appreciate some help with this question, thank you!

if A(4,5), B(6,8), then vec AB is .......

answer choices;
a)(24,40)
b)(10,13)
c)(2,3)
d)(40,24)
​

Answers

Answer:

A is the answer to the question

Step-by-step explanation:

4*6=24

5*8=40

1.1 solve for x, where 0°< x 90°. write your answer to one decimal place. 1.1.1 tanx=sin38° 1.1.2cosec( x+10°)=1.345​

Answers

The value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

How to solve the trigonometry ratios?

The equations are given as:

tan(x)=sin38°

cosec( x+10°)=1.345​

In tan(x)=sin38°, we have:

tan(x)=0.6157

Take the arc tan of both sides

x = 31.6

Also, we have:

cosec(x+10°)=1.345​

Take the inverse of both sides

sin(x+10°) = 0.7434

Take the arc sin of both sides

x+10 = 48.0

Subtract 10 from both sides

x = 38.0

Hence, the value of x in tan(x)=sin38° is 31.6 and the value of x in cosec(x+10°)=1.345​ is 38.0

Read more about trigonometry ratios at:

https://brainly.com/question/11967894

#SPJ1

PLEASE HELP !!!!!!!!

Answers

Answer:Angle BCE

Step-by-step explanation:

look across from point C

Please help need done by the next hour! Will mark Brainliest

Answers

Answer:

you did not even show the answer

Step-by-step explanation:

you have to post it lol;)

An office building has the same number and size of offices on each floor. If there are 21 offices on the first 3 floors, then what is the total number of offices in the 10 story building?

Answers

Answer:

70 offices

Step-by-step explanation:

21 ÷ 3 to get amount per floor, 7 per floor, 7 × 10 = 70, 70 offices

The figure shown is a rectangle. If you draw a new rectangle in which the dimensions are doubled, what is the relationship between the AREAS of the two rectangles? A) The area of the new rectangle is twice that of the original rectangle. B) The area of the new rectangle is one-half that of the original rectangle. C) The area of the new rectangle is four times that of the original rectangle. D) The area of the new rectangle is eight times that of the original rectangle.

Answers

Answer:

Step-by-step explanation:

Givens

L = 5

w = 3

Formula

Area = L*w

Solution

Area = 3 * 5

Area = 15

Now double both the width and the Length.

New Length = 2*5 = 10

New Width = 2 * 3 = 6

Area = New Length * New Width

Area = 10 * 6

Area = 60

Answer (look at the choices)

The old rectangle has an area of 15. The new Rectangle has an area of 60. If you double 15, do you get 60. No, so the answer is not A

The new rectangle is 60. If you halve it, do you get 15. No so the answer is Not B

C is the answer

D is you multiply 8 * 15, do you get 60? No so the answer is not D

solve (-24) ÷ -6 + 10 and explain

Answers

so the answer is 4

how to get the answer

[tex](-24)[/tex] ÷ [tex]-6+10[/tex]

take the last part

[tex]-6+10[/tex]

and you would solve that

it would be 4

solve this using pythagorean theorem please and give me the right answer and i will give YOU brainliest and a like in return.

Answers

Answer:

answer should be 4.3

Step-by-step explanation:

8.9^(2)-7.8^(2)

=18.37

\sqrt(18.37)

=4.28602379

and round to the nearest tenths should give you 4.3

You decide to go to dinner with three friends. Before the check comes, the group decides to split the check evenly. The total
check is $134.50. As a group you decide to tip the waiter 20% on top of the total check amount. How much money should
you and each friend pay, including tip? Round your answer to the nearest cent.

Answers

Answer:

You each will pay $40.35

Step-by-step explanation:

First you take the total  $134.50 and divide it by 4 which is you and your three friends.

This will give you 33.625 which is the amount each of you will pay without tip.

To find the tip you take 20% from $134.50 which will give you 26.9 and when you divide that by the four of you it will give you 6.725.

Then you take your amount 33.625 plus your tip 6.725 which will give you $40.35.

The total you all will pay will be $161.40 this is the total $134.50 plus the tip $26.90.

Hope this helped.

Does anybody know this? Find the value of y and z

Answers

Answer:

z = 70 (Since it is a straight angle)

y = 110 (y = 180 - z)

[tex]12\frac{1}{2}[/tex]% as a simple fraction is:

a)[tex]\frac{12}{100}[/tex]

b)[tex]\frac{1}{8}[/tex]

c)[tex]\frac{3}{25}[/tex]

d) 0.125

e) 12.5

Answers

Answer:

E. 12.5

Step-by-step explanation:

[tex](12 \times 2) + 1 = 25 \\ \frac{25}{2} [/tex]

Answer:

B

Step-by-step explanation:

25/2  = 12.5

so, 12.5 /100

= 1/8

Therefore b is the correcrt answer

6 erasers cost $6.60.
Which equation would help determine the cost of 3
erasers?

Answers

Answer:

answer is a

Step-by-step explanation:

u just look at 6 and 6.60 thats 1 and 10 every eraser but for 3 its 1.30

What is the additive inverse of the complex number –12 4i? –12 – 4i –12 4i 12 – 4i 12 4i

Answers

The additive inverse of the complex number -12 + 4i is 12 - 4i

How to determine the additive inverse?

The complex number is given as:

-12 + 4i

The additive inverse of a complex number a + bi is -a - bi

This means that the additive inverse of -12 + 4i is 12 - 4i

Hence, the additive inverse of the complex number -12 + 4i is 12 - 4i

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ4

Answer:

It's C

Step-by-step explanation:

Other Questions
Could someone help do 20-25 for me please! Find the number that belongsin the green box.4? 12910Round your answer to the nearest tenth. Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship? which of the following features of academic that make readers easily follow the main ideas and its argumets? 50 POINTS PLEASE HELP!!The employment of radiologic technologists is expected to increase by what amount between 2010 and 2020?O 23 percentO 19 percentO 28 percentO 31 percent answer plsssssssssssssss The sequence of affects of increasing bac is linked to Why we do not have a solar eclipse during every ""new moon"" phase. I have no clue, I have asked others and they don't know either. 40 POINTS!!!Find the volume of this irregular figure.Hint: Find the volume of the whole rectangular prism, then subtract the volume of the missing piece, which is also a rectangular prism. help! Solve each triangle (find all missing sides and angles) Round each answers to the nearest tenth Question 28 of 34What are the products of the neutralization reaction between HNO3 andNaOH?OA. NH3 and NaOOB. NaNO3 and HOOC. NaH and NO4HOD. NO, H, and HO A reporter is planning to write a review of the newest restaurant in town for a city magazine. according to guidelines from the society of professional journalists, what should she do before she writes the review? What are the x-intercepts of the graph of the given function f(x)=3(x+7)(x-9) show your work This figure shows the dimensions of an A frame house.What is the volume of the house?Enter your answer in the box.V = ft Which function can be used to model the graphed geometric sequence? f(x 1) = five-sixthsf(x) f(x 1) = six-fifthsf(x) f(x 1) = five-sixths superscript f (x) f(x 1) = six-fifths superscript f (x) Can someone help me with this please thank you. Explain how cyber bullying of member of the lbgtq1a2s+community could cause phycological harm to them I need help with this math question please! A teacher randomly chooses a two-person leadership team from a group of four qualified students. Three of thestudents, Sandra, Marta, and Jane, are girls. The fourth student, Franklin, is a boy.Using the sample space of possible outcomes listed below, where each student is represented by the first letterof his or her name, answer each of the following questions.What is P(A), the probability that the first student is a girl?What is P(B), the probability that the second student is a girl?What is P(A and B), the probability that the first student is a girl and the second student is a girl?