In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)

Answers

Answer 1

Answer:

(8) [tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

(9) [tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

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

Step-by-step explanation:

Given [Missing from the question]

[tex](8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)[/tex]

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

[tex]x + y = -6 - 2[/tex]

[tex]x + y = -8[/tex] --- (1)

[tex]2x - y = 2 * (-6) - (-2)[/tex]

[tex]2x - y = -10[/tex] -- (2)

So, the equations are:

[tex]x + y = -8[/tex] and [tex]2x - y = -10[/tex]

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

[tex]3x - y = 3 *(-12) - 18[/tex]

[tex]3x - y = -54[/tex]

[tex]4x + y = 4 * (-12) + 18[/tex]

[tex]4x + y = -30[/tex]

So, the equations are:

[tex]3x - y = -54[/tex] and [tex]4x + y = -30[/tex]

Solving (9): (2,0)

Let the equations be: x + y and x - y

[tex]x + y = 2 + 0[/tex]

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

[tex]x - y = 2 - 0[/tex]

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

So, the equations are:

[tex]x + y = 2[/tex] and [tex]x - y = 2[/tex]


Related Questions

What is the solution to the equation



m = –24 m = –12 m = –6 m = –4

Answers

the answer is ........... x= —12

Please help asap!!

Kianna and Jos houses are reflections of each other across both axes. What are the coordinates of Jo's house?

Answers

Answer:

(-4,-2)

Step-by-step explanation:

(4,-2) because it’s a reflection which means the x stays the same but the y variable changes to a negative

Matthew has the choice between accepting a prize of $100,000 or being given a penny to start and adding triple the previous amount every day for three weeks . Which should he choose and why ?

Answers

Answer:

the penny because, the amount is going to triple everyday which will leave you with alot more money towards the end, and I've seen this so definitely pick the penny.

If the Math Olympiad Club consists of 15 students, how many different teams of 3 students can be formed for competitions?

Answers

Answer:

5 teams

15÷3=5

Have a great day

Answer:

5 teams

Step-by-step explanation:

There are 15 students, and 3 students per team. Divide 15/3 and you get 5.

A cone shaped party hat has a radius of 3 inches and a height of 6.5 inches. Find the number of cubic units that hat occupies?

Answers

Answer:

61.25

Step-by-step explanation:

The of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.

What is of volume of cone?

Volume of cone is the amount of quantity, which is obtained it in the 3 dimensional space.

The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

A cone-shaped party hat has a radius of r=3 inches and a height of h=6.5 inches. The amount of cubic units it occupies is equal to the volume of hat.

Thus, put the values in the above formula as,

[tex]V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=61.26\rm\; in^3[/tex]

Thus, the of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.

Learn more about the volume of cone here;

https://brainly.com/question/26666727

#SPJ2

if I have one broccoli and my teacher gives me two broccolis how many broccolis do I have​

Answers

three broccz babeyyy ✨‍♀️

Answer:

Step-by-step explanation:

I'm sure of it i even used my calculatr... it 13

The price of a hot tub was marked down by $250. The original price of the hot tub was $3,600. What was the percentage rate of the discount (to the nearest
tenth of a percent)?
5.8% rate of discount
7.2% rate of discount
6.9% rate of discount
8.5% rate of discount
None of these choices are correct.
ОООО

Answers

Then what’s the point

6.9% discount

(6.9% of 3,600 is 248.40 but the question says to choose the closest answer)

What is the perimeter of an octagon if each side is 7 inches in length?

Answers

Answer:

an octagon has 8 sides

8 x 7 = 49 inches

Step-by-step explanation:

8 sides or inches ... ps I’m just guessing I’m not 100% sure

How do I find the solution to 1 = r /12 ?

Answers

Multiple each side by 12
R=12

Answer:

first, you have to multiply out the 12, to isolate the r. so multiply 12 to both sides to get:

r= 12

Step-by-step explanation:

i hope this helps :)

Jerry rhombus has a base of 15 inches and a height of 9 inches. Charlene rhombus has a base

Answers

Complete Question:

Jerry’s rhombus has a base of 15 inches and a height of 9 inches. Charlene’s rhombus has a base and a height that are 13 the base and height of Jerry’s rhombus. Compare the area of Charlene’s rhombus to the area of Jerry’s rhombus.

Answer:

Charlene's rhombus has a larger area

Step-by-step explanation:

Given

Jerry's

[tex]Base = 15in[/tex]

[tex]Height = 9in[/tex]

Charlene's

[tex]Base = Height = 13in[/tex]

Required

Compare both areas

The area of rhombus is:

[tex]Area = Base * Height[/tex]

For Jerry's

[tex]Area = 15in * 9in[/tex]

[tex]Area = 135in^2[/tex]

Charlene's

[tex]Area = 13in * 13in[/tex]

[tex]Area = 169in^2[/tex]

By comparison: Charlene's rhombus has a larger area by 34in^2

Answer:

I THINK THE ANSWER IS 1/9 WHICH IS THE 2ND ANSWER.

Step-by-step explanation:

I DONT HAVE AN EXPLANATION BUT I DO KNOW ITS ACCURATE

helpppppppppppp meeeee plssss lpereira25

Answers

Answer:

1. Reflect across the y-axcis:

  1) (-1,-5)

  2) (0,-3)

  3) (-2,0)

  4) (-4,-2)

________________________

2. Reflect across the x-axis:

  1) (0,0)

  2) (1,-4)

  3) (2,-4)

  4) (4,0)

Do u wanna join

my

zoom

because its much better to tell/show u the answers...?

The measures of the angles of a triangle are shown in the figure below. Find the
measure of the largest angle.

Answers

i can’t see the bottom numbers

What is the equation of the square root parent function?

Answers

y = square root x

I don't have the square root sign

(this is 12 year old math)
the price of a visit to the dentist is calculated according to the formula 50+100n where n is the number of cavities the dentist finds. On your Last visit to the dentist, 2 cavities we're found.
what's the cost of your visit? ​

Answers

Is 50 the cost of 100 cavities??

A community theater uses the function p(d)= -5d²+300d -200 to model the profit (in dollars) expected in a weekend when the tickets to a comedy show are priced at d dollars each: Part A: Write and solve an equation to find out the prices at which the theater would earn $2,300 in profit from the comedy show each weekend. Show your reasoning Part B: At what price would the theater make the maximum profit. and what is that maximum profit? Show your reasoning.​

Answers

Answer:

A. $66.33B. $4300

Step-by-step explanation:

Given function:

p(d)= -5d² + 300d - 200 Part A

p(d) = 2300, find d:

2300 = -5d² + 300d - 200 5d² - 300d + 200 - 2300 = 05d² - 300d - 2100 = 0d² - 60d - 420 = 0d²- 2*30d + 900 = 1320(d - 30)² = 1320d- 30 = √1320d = 30 + 36.33d = 66.33 Part B

Maximum point of the function is obtained at vertex, which is (x = -b/2a):

d = - 300/-10 = 30

The maximum profit is:

p(30) = -5(30)² + 300(30) - 200 = 4300

How many 3/8 does it take to make 3/2 ?

Answers

Answer: four

Step-by-step explanation:

Answer: It takes 4 to make 3/2

NEED HELP ASAP WILL GIVE BRAINLY

Answers

Answer:

B = 240/h

Step-by-step explanation:

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate. The candy has 3 pounds of milk chocolate. How many pounds of dark chocolate are present in the candy? Show your work. (5 points)

Answers

Answer:

1 pound

Step-by-step explanation:

Evelyn is making a candy that contains 25% dark chocolate and the rest milk chocolate

therefore, 75% = milk chocolate

3 pounds = 75%

25% = ?

25 % = 1 pound

1 pound of dark chocolate is present in the candy.

Simplify a/b + c/f

a/b x c/f

a/b divided by c/f

Answers

Answer:

1 (a f+bc)/bf

2 ac/bf

3 a f/bc

Step-by-step explanation:

can someone help.. i’ll chose brainliest if best

Answers

Answer:week 3 and week 1

Step-by-step explanation:

Answer:

chicken

Step-by-step explanation:

Sarah hiked a path that took her from 34 feet below sea level to 52 feet above sea level. What was the change in her elevation?

Answers

Answer:

18 feet

Step-by-step explanation:

52 - 34 = 18

Answer:

18

Step-by-step explanation:

52 - 34 = 18 because she went  34 down so that will be a -34 and then she went 52 up and 52 is a positive number so it really is  negative -34 + 52 = 18

what is the rate of change of the function y=-4x+2

NEED HELP ASAP!!!!!!! PLEASE

Answers

Answer:

The rate of change is -4

Step-by-step explanation:

In slope intercept form the m value is the rate of chane/slope

I believe it is same as the slope so it would be -4x

A customer bought 2/3 pound of roast beef and 1/2 pound of cheese at the deli. What is the ratio of roast beef to cheese?

Answers

Answer:

4/3

Step-by-step explanation:

2/3 divided by 1/2

2/3 times 2/1

2 times 2 is 4

3 times 1 is 3

final answer: 4/3

The Ratip is 4:3

There were 874 tickets sold for a school event. Student tickets were $3 and non-student
tickets were $7. If the total amount of ticket sales was $3,786, how many student
tickets were sold? (Use only the digits 0-9 to enter a number.)
This questions weird

Answers

Answer:

583 student tickets

Step-by-step explanation:

This question is likely asking us to set up a system of equations. Let us say that:

x represents the number of student tickets  

y represents the number of non-student tickets

We know that there were a total of 874 tickets sold, so:

x + y = 874

We also know that every student ticket was sold for $3 and every non-student ticket was sold for $7. We also know the total sales, so:

3x + 7y = 3786

These are our two equations. We can use substitution to solve for the number of student tickets, x:

x + y = 874

y = 874 - x

3x + 7y = 3786

3x + 7(874 - x) = 3786

3x + 6118 - 7x = 3786

-4x = -2332

x = 583 student tickets

Please help me!!!!! Pleasee

Answers

Answer:

Step-by-step explanation:

cos x= LJ/JK=2.8/9.3

⇒x ≈1°

The answer is 26.04 I’m sorry if it’s not correct but i tried my best

please help thank youuuuu

Answers

Answer:

Y=3x-1

Step-by-step explanation:

Let x =1 then ,Y=(3×1)-1=2

Let x=2 then, Y=(3×2)-1=5

Let x=3 then Y=(3×3)-1=8

Let x=0 then Y=(3×0)-1=-1

20 POINTS Find the diameter?? Pls help I dont know what to do..

Answers

Answer:

Diameter = 19.33

Step-by-step explanation:

Imaging a radius line from O to the endpoints of the 7. call this line R.

Label the part of the vertical line from O to the 90 degree intersection y.

Now you have a right triangle.

Using the Pythagorean theorem:

R² = 7² + y²

also

y = R - 3

substitute for y:

R² = 49 + (R-3)²

R² = 49 + R² - 6R + 9

simplify:

0 = 58 - 6R

6R = 58

R = 9.6667

Diameter = 2(9.6667) = 19.33

True or false? A correct answer is worth (2 pts). Explain how you know for the additional (2 pts). Using complete sentence for (1 pts)



(5,2) is a solution to the equation 2x + 3y = 10.

Answers

answer (in words)

FALSE. the coordinate pair (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order to figure out whether or not the statement is true or false, plug the [tex]x[/tex] and [tex]y[/tex] values from the coordinate pair (5, 2) into the given equation, [tex]2x+3y=10[/tex]. if both sides of the equation end up equal, the coordinate pair is a solution to the equation. if not, the coordinate pair is not a solution to that equation.

(i hope i explained that well enough, i'm better at explaining it algebraically as opposed to putting it into words lol)

answer (algebraic/steps for solving)

first, plug in 5 for [tex]x[/tex] in the equation [tex]2x+3y=10[/tex].

[tex]2x+3y=10[/tex] ⇒ [tex]2(5)+3y=10[/tex]

then plug in 2 for [tex]y[/tex].

[tex]2(5)+3y=10[/tex] ⇒ [tex]2(5)+3(2)=10[/tex]

now your equation is [tex]2(5)+3(2)=10[/tex]. all that's left to do is to simplify. you can do this in whatever order you'd like, but i'll start with multiplying 2 · 5.

[tex]2(5)+3(2)=10[/tex] ⇒ [tex]10 + 3(2) = 10[/tex]

multiply 3 · 2.

[tex]10 + 3(2) = 10[/tex] ⇒ [tex]10 + 6 = 10[/tex]

add 10 + 6.

[tex]10 + 6 = 10[/tex] ⇒ [tex]16=10[/tex]

16 and 10 are not equal, therefore (5, 2) is not a solution to the equation [tex]2x+3y=10[/tex]. in order for a coordinate pair to be the solution to an equation, both sides of the equation need to end up equal after solving and simplifying.

i hope this helps! have a great rest of your day <3

$800 invested at 5.25% simple interest for 4 yrs.

Answers

Answer:

14 dollars.

Step-by-step explanation:

With annual interest rate, 5.25 interest rate is $14.00

Answer:

$968

Step-by-step explanation:

800 × 0.0525 × 4 = 168 (interest)

168 + 800 = 968 (total)

Sara is renting a car for x amount of days. To rent the car she must pay an initial fee of $130 and then $17 for each day. If sara rents a car for 9 days, how much will it cost her?

Answers

Answer:

283

Step-by-step explanation:

130+17(9)

130 + 17 times the days

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