Use substitution to solve the system of equations algebraically.
x² + y² = 32
y = x
One solution to the system of equations is (4,4).
The other solution to the system of equations is

Answers

Answer 1

Answer:

(-4,-4)

Step-by-step explanation:

Since y=x,plug in x for y in equation 2

x²+x²=32

2x²=32

x²=16

x=√16=±4

So one solution is (4,4) and another is (-4,-4)

Answer 2

Answer:

i really cant tell you

Step-by-step explanation:

sorry


Related Questions

4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.

Answers

Answer:

268.25

Step-by-step explanation:

by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25

*edit, messed up how long a year was, corrected my issue, answer & equation.

Answer:

Step-by-step explanation:

How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome

theres the picture i dont know how to write it out.​

Answers

Answer:

x > -2

Step-by-step explanation:

As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.

Hope this helps!!

Help please I really don’t understand SOS Due today

Answers

Answer:

Step-by-step explanation:

28 > 6x - 2

28 + 2 > 6x - 2 + 2

30 > 6x

5 > x or x < 5

The lenght of a rectangle exceeds it width by 2cm. If area of the rectangle is 80 cm The lenght of the rectangle is ?​

Answers

Answer:

[tex]x4 - (9x5)[/tex]

yan npo wag puro brainly

Answer:

The answer is l =40cm

Which figure in the drawing best represents a dilation of figure A with a scale factor of 1.5?
A.r
b.q
c.s
d.t​

Answers

I’m pretty sure it’s b

What is the slope of the line ( part 2 )

Answers

Answer:

[tex]m=-\frac{1}{2}[/tex]

Step-by-step explanation:

Same as last time, take any 2 points you want:

(0, 3) and (4, 1)

Use the slope formula to calculate the slope:

[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]

On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.

Solve the simultaneous equation


3x-4y=11
9x+2y=5

Answers

Answer:

I assume you are looking for the x and y values of the two equations? if not message me!

y=–2

x=1

Step-by-step explanation:

Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28

We can now divide both sides by 14 to get y by itself so we are left with: y=–2

plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1

To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)

Answer:

Below in bold.

Step-by-step explanation:

3x-4y=11

9x+2y=5

Multiply the first equation by 3:

9x - 12y = 33

Subtract the above from the second equation:

2y - (-12y) = 5 - 33

14y = -28

y = -2.

Now plug y = -2into the first equation:

3x - 4(-2) = 11

3x = 11 - 8 = 3

x= 1.

does anyone know what the answers are to this question? thank you sm if you help!! :)

Answers

u’ should equal to 23
v’ should be equal to 4

I’m not exactly sure but please do feel free to correct any mistakes I made.

What did she do wrong? What can she do to prevent this?

Answers

Answer:

y = 8x + 14  (8x is WRONG)

This is how it is supposed to be

y - 2 = 6x + 12

y = 6x + 14

She must combine like terms, not unlike terms

1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.

Answers

1000x1.05^2 =£1102.5

Answer:

A = £1102.50

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.

Here A = £1000·(1 + 0.05)^2, which evaluates to  A = £1102.50

The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2














2. What would your next step be?

Write your answer in the space below.














3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.

Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6















4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides














5. What would your next step be?

Write your answer in the space below.














6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.

Write your answer in the space below.














7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.

Write your answer in the space below

Answers

Answer:

Below.

Step-by-step explanation:

1. Divide both sides by 2.

2. After dividing both sides by we would have:

x + 14 = 20

The next step would be

Subtract 14 from both sides.

3. 2(x + 14) = 40

x + 14 = 20

x = 20 - 14

x = 6.

2x + 28 = 40

2x = 40 - 28

2x = 12

x = 6.

If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day

Answers

Answer:

112

Step-by-step explanation:

8 days when fitted into a half (1/2) gives you 16

7 times 16 gives the answer of 112 (people needed)

Answer:

112 people to do it in 1/2 of a day

Step-by-step explanation:

7 · 8 = 56

56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day

Answer Asap!
<3 <3 <3
Thx

Answers

Answer:

the answer is 15/17

because cosine=b/h=UV/UW=15/17

-4x + 60 < 72 or 14x + < -31

Answers

x=31/14

Step-by-step explanation:

I did the second one btw

. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.​

Answers

Answer:

25ml of wallpaper remover

Step-by-step explanation:

(y = amount of wallpaper remover)

4500×4 = 18000

18000:600

750    : y

18000y = 600×750

18000y = 450000

y = 450000÷18000

y = 25

What are the values of m and n

Answers

Answer:

m = 20°, n = 45°

Step-by-step explanation:

Both of the triangles are isosceles as marked on the diagram.

The right triangle has missing angles of:

n = 90°/2 = 45°

The missing angles of the bigger triangle:

m + n = 1/2(180° - 50°)m + 45° = 65°m = 20°

A diameter of a circle measures 58cm. What is the length of its radius

Answers

Answer:

29cm

Step-by-step explanation:

a radius is half of a diameter so half of 58cm  is 29cm.

i hope this helps have a good day


6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°

Answers

it would be c . 1.20

I need help on 26 please and thank you

Answers

Answer:

your answer is 1.65 or E :)

a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?

Answers

Answer:

Please I don't understand the question or maybe I'm too young for the question I'm so sorry

An adventure race is 9.75 mi long. The race is divided into equal sections. Each section is 0.75 mi long. The race organizer needs 4 volunteers in each section. How many volunteers does the race organizer need? Show your work.

Answers

Step-by-step explanation:

9.75/.75 = 13

which means the race is divided into 13 equal section according to the question in which each section is 0.75 m long.

as 4 volunteers are needed in each section

so keeping this in mind 13×4 = 52

therefore, 52 volunteers race organizer need.

hope this answer helps you dear! take care

Find the unit rate.

12 laps in 30minutes

Answers

Answer:

0.4/1

Step-by-step explanation:

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 30

Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points

Answers

Answer:

$4811

Step-by-step explanation:

Initial price = 35,000

18% decrease anually = 18/100 = -0.18

after 10 years

substitute these values in the formula shown in below figure

A = 35000 * ( 1 + -0.18/1  ) ^10

= 35000 * 0.82^10

= 4,810.681

= $4811

why (0.0) (3.4) (6.8) (6,12) not a function

Answers

Answer:

Step-by-step explanation:

Look at the first elements of the four points:  {0, 3, 6, 6}.  The element 6 appears twice and is associated with two different second elements:  {8, 12}.  That tells us immediately that this is not a function.

If Ram had 5 apples in house , now calculate the number of apple's in his neighbours house . ​

Answers

Answer:

Ram's neighbors probably had more apples than Ram.

Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].

Step-by-step explanation:

Hello bro ufff.... Finally found u xD-,-

F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?

(A) 5yards

(B) 7yards

(C) 8yards

(D) 10yards

(E) 17yards

Answers

B 108 = 3 12=4 since the technical answer is 7 yards

how do u simplify 4625/1000

Answers

Answer:

37/8

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator. GCD of 4625 and 1000 is 125.

4625 ÷ 1251000 ÷ 125.

Reduced fraction: 378. Therefore, 4625/1000 simplified to lowest terms is 37/8.

Use the linear combination method to solve the system of equations. *Explain each step of your solution.

2x - 3y = 13
x + 2y = 4

Answers

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

[tex] - 2(x + 2y) = 4[/tex]

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

---------------------------------------------

Answered by Benjemin360 ☺️

Population Growth Using 20th-century U.S. census data,

the population of Ohio can be modeled by

12.79

P(1) =

1 + 2.402,-0.0309

where P is the population in millions and r is the number of

years since April 1, 1900. Based on this model, when was the

population of Ohio 10 million?

Answers

The population of Ohio will be 10 million in the year 1970

The population growth of Ohio is represented by the function:

[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]

P is the population in millions

t is the number of years since 1900

To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t

[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]

t = 70 years (to the nearest whole number)

70 years after 1900 will be 1970

Therefore, the population of Ohio will be 10 million in the year 1970

Learn more here:  https://brainly.com/question/25504185


4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2

Answers

Answer:

-4,2

Step-by-step explanation:

(x-2) (x+4)=0

x-2=0

x=2

x+4=0

x= -4

Answer:

x=-4, x=2

Step-by-step explanation:

Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.

There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.

When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.

Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.

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