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

HELP YALL HELP PLEASE ​

Answers

Answer:

66 ur welcome

I have a test I don’t know what to do. Can someone please help me?

Answers

i think it’s b i worked it out and that’s what i got but i could be wrong

A local city collects 8% sales tax. If the total purchase was $216.09,then how much was collected for sales tax?

Answers

Answer:

$17.29

Step-by-step explanation:

8% = 0.08

216.09(0.08) = 17.29


Write 9 19/20
as a decimal.

Answers

Answer:

9.95

Step-by-step explanation:

Answer:

9 19/20 = 9.95

Step-by-step explanation:

4. If y = 5x – 3 and 3x - y = -1, what is the value of y?
A 2
B -1
C 7
D -8​

Answers

answers:

4.C po

Step-by-step explanation:

i hope its help

Javier's speed is equivalent to
(answer) feet per second.

Answers

Answer:

please be more specific

Step-by-step explanation:

This isn't a lot of info, we don't know how fast he is, so find the speed, and divide it by feet! easy! Hope this helps enough?

a rectangle is 16 feet long and 8 feet wide find its area

Answers

The area of the rectangle is 128 square feet.

To find the area of a rectangle, you multiply the length by the width. In this case, the rectangle is 16 feet long and 8 feet wide.

Area = Length * Width

Substituting the given values:

Area = 16 feet * 8 feet

To perform the calculation, multiply the numbers:

Area = 128 square feet

Therefore, the area of the rectangle is 128 square feet.

The area of a rectangle represents the total amount of space enclosed within its boundaries. In this case, the rectangle measures 16 feet in length and 8 feet in width, so the area is calculated as 16 feet multiplied by 8 feet, resulting in 128 square feet.

The concept of area is fundamental in geometry and is used to measure the size of two-dimensional shapes. In the case of a rectangle, the area represents the product of its length and width, as every point within the rectangle contributes to its overall size.

Knowing the area of a rectangle can be useful in various situations. For example, if you want to determine how much flooring material is required to cover a rectangular room, you would need to know the area of the floor.

For more such questions on area visit:

https://brainly.com/question/25292087

#SPJ8

Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left

Answers

Answer:

1 1/2 feet

Step-by-step explanation:

Martin is making a model of a Native American canoe. He has 5 1/2 feet of wood he uses 2 3/4 feet for the whole and 1 1/4 feet for a paddle how much does he have left

This is calculated as:

5 1/2 feet - ( 2 3/4 feet + 1 1/4 feet)

Lowest Common Denominator 4

5 1/2 feet - (2 + 1 ( 3 + 1/4)

5 1/2 feet - 3 + 1

5 1/2 feet - 4 feet

= 1 1/2 feet of wood left

3. Graph the function.
xy + 25 = 0

Answers

Answer:

look at the answer below

Step-by-step explanation:

this is xy + 25 = 0 if you wanted it. hope it helps

Answer:

(Rational Functions Practice)

3. Graph the function. (1 point)

xy+25=0

Step-by-step explanation:

Graph B. is the correct answer

2. Solve by using the quadratic formula 3x2 - 6x - 4 = 0 round to the nearest hundredth.

Answers

Answer:

[tex]let \: \alpha \: and \: \beta \: be \: two \: roots \: of \: above \: [/tex]

[tex]equation \: .[/tex]

[tex] \alpha = 2.52 \: and \: \beta = -0.52[/tex]

i really need help with this​

Answers

The correct answer to this question is B.

Please help !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1) b - correct statement: The interquartile range of the number of volunteers is 16

2) c - correct statement: About 50% of the students have between a 75 and a 90

Step-by-step explanation:

1B --> 66 - 50

2C --> About 50% of the students have between a 75 and a 90

A rhombus has an angle measure of 120, and it’s longer diagonal has a length of 10 inches. What is the area?

Answers

Answer:

1200INCHES²

Step-by-step explanation:

the formula for the area of rectangle and rhombus is same so l*b will work....120*10=1200

Write a word equation for 24 = 3x

Answers

twenty four equals three x

help due really soon​

Answers

Answer:

B.) y - 6 = -8/5(x + 2)

Step-by-step explanation:

Remember in order to find the slope intercept form on 2 points, you need these equations: [tex]\frac{x_2 -x_1}{y_2 -y_1}[/tex] and [tex]y-y_1=m(x-x_1)[/tex]

To find the slope, you will need to use the first equation. In this case the equation will look like this: [tex]\frac{(-2)-6}{3-(-2)}=-\frac{8}{5}[/tex]

Then use the second equation, plug in the numbers, and you will get B as your answer

pls try itt brainliiestttt

Answers

Answer:

$25,377.11 or

$25,759.92

Step-by-step explanation:

hope that helps

What are the zeros of the quadratic function shown in the graph?

a) –2 and –10
b) –2 and 10
c) 6
d) 2 and 10

Answers

Answer:

D

Step-by-step explanation:

Look at where the graph intercepts on the x-axis

If u can't see it's 2 and 10

Answer:

the answer is D

Step-by-step explanation:The answer is 2 and 10 because its directly on the line.

Hope I helped

area of rectangular figures​

Answers

Answer:

531 in^2

Step-by-step explanation:

21 x 18 = 378 in^2

17 x 9 = 153 in^2

378 + 153 = 531 in^2

Please help I will give brainiest !!!!!?!!!!!!

The exact circumference of a circle is 30. What is the diameter?
60
15
30
45

Answers

Answer:

9.549296

Step-by-step explanation:

30/pi = 9.549296 for diameter

Find the point (,) on the curve =8 that is closest to the point (3,0). [To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answers

Question:

Find the point (,) on the curve [tex]y = \sqrt x[/tex] that is closest to the point (3,0).

[To do this, first find the distance function between (,) and (3,0) and minimize it.]

Answer:

[tex](x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})[/tex]

Step-by-step explanation:

[tex]y = \sqrt x[/tex] can be represented as: [tex](x,y)[/tex]

Substitute [tex]\sqrt x[/tex] for [tex]y[/tex]

[tex](x,y) = (x,\sqrt x)[/tex]

So, next:

Calculate the distance between [tex](x,\sqrt x)[/tex] and [tex](3,0)[/tex]

Distance is calculated as:

[tex]d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}[/tex]

So:

[tex]d = \sqrt{(x-3)^2 + (\sqrt x - 0)^2}[/tex]

[tex]d = \sqrt{(x-3)^2 + (\sqrt x)^2}[/tex]

Evaluate all exponents

[tex]d = \sqrt{x^2 - 6x +9 + x}[/tex]

Rewrite as:

[tex]d = \sqrt{x^2 + x- 6x +9 }[/tex]

[tex]d = \sqrt{x^2 - 5x +9 }[/tex]

Differentiate using chain rule:

Let

[tex]u = x^2 - 5x +9[/tex]

[tex]\frac{du}{dx} = 2x - 5[/tex]

So:

[tex]d = \sqrt u[/tex]

[tex]d = u^\frac{1}{2}[/tex]

[tex]\frac{dd}{du} = \frac{1}{2}u^{-\frac{1}{2}}[/tex]

Chain Rule:

[tex]d' = \frac{du}{dx} * \frac{dd}{du}[/tex]

[tex]d' = (2x-5) * \frac{1}{2}u^{-\frac{1}{2}}[/tex]

[tex]d' = (2x - 5) * \frac{1}{2u^{\frac{1}{2}}}[/tex]

[tex]d' = \frac{2x - 5}{2\sqrt u}[/tex]

Substitute: [tex]u = x^2 - 5x +9[/tex]

[tex]d' = \frac{2x - 5}{2\sqrt{x^2 - 5x + 9}}[/tex]

Next, is to minimize (by equating d' to 0)

[tex]\frac{2x - 5}{2\sqrt{x^2 - 5x + 9}} = 0[/tex]

Cross Multiply

[tex]2x - 5 = 0[/tex]

Solve for x

[tex]2x =5[/tex]

[tex]x = \frac{5}{2}[/tex]

Substitute [tex]x = \frac{5}{2}[/tex] in [tex]y = \sqrt x[/tex]

[tex]y = \sqrt{\frac{5}{2}}[/tex]

Split

[tex]y = \frac{\sqrt 5}{\sqrt 2}[/tex]

Rationalize

[tex]y = \frac{\sqrt 5}{\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]

[tex]y = \frac{\sqrt {10}}{\sqrt 4}[/tex]

[tex]y = \frac{\sqrt {10}}{2}[/tex]

Hence:

[tex](x,y) = (\frac{5}{2},\frac{\sqrt{10}}{2}})[/tex]

The number 720 can be expressed as
24 x 36 x 5. Work out the values of a and b.

Answers

Answer:

24×36×5=4,320

4,320÷6=720

Answer:

I don't understand your question.

5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2x + 6
O y = 3/2x + 5/2
O y = 3/2x + 4/3
O y = -2/3x + 5/2
O y = -2/3x + 4/3

Answers

Answer:

D.  y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

4/3 = b

So the equation is y = -2/3 x + 4/3.

HELPP PLEASEEE


John's toy car is built on a scale of one
inch represents 12 inches on the actual
car. If john's toy car is 5 inches long,
how long is the actual car?

Answers

12/1 = x/5

1 • x = 12 • 5
x = 60

John’s car is 60 inches long.

Name and locate points in all four quadrants of the coordinate plane.

Answers

shiiii who’s that fine man

378x378x378x378x378x378x378x378x378

Answers

Answer:

378x³⁰²

Step-by-step explanation:

378x378x378x378x378x378x378x378x378

=378*x^378*x^378*x^378*x^378*x^378*x^378*x^378*x^378

=378*x3024

=378x³⁰²

Hope this helps

Consuelo recorded the amount of time, in minutes, she spent exercising on the treadmill. 15, 25, 30, 25, 45, 20, 35, 30, 35, 30, 40 Which value best represents the mode? 10 min 10 min 30 min 30 min 35 min 35 min 25 min

Answers

Answer: 30 mins.

Step-by-step explanation:

The mode is the value that appears the most times.

In such a situation, first order the numbers in an ascending order:

15, 20, 25, 25, 30, 30, 30, 35, 35, 40, 45

As can be seen from the above, 30 is the number that appears the most so the mode is 30 mins.

If p(x)=2x,which of the following is the graph of h(x)=p(x)-6

Answers

Answer:

the graph is the one with h(x)=2x-6

Step-by-step explanation:

it will hit the y-axis at (0,-6) and it will hit the x-axis at (3,0)

The graph of h(x)=p(x)-6 is shown below.

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation.

Thus, if a point lies on the graph of a function, then it must also satisfy the function.

We are given that;

p(x)=2x

Now,

To find the graph of h(x) = p(x) - 6, we need to use the concept of transformations of functions. A transformation is a change in the position, shape, or size of a function’s graph.

To graph h(x), we can start by graphing p(x) = 2x and then shifting it down by 6 units. The graph of p(x) is a straight line that passes through the origin and has a slope of 2. To shift it down by 6 units, we can subtract 6 from the y-coordinate of every point on the line. For example, the point (1, 2) on p(x) becomes (1, -4) on h(x).

The graph of h(x) is also a straight line that has the same slope as p(x), but has a y-intercept of -6. The equation of h(x) is y = 2x - 6.

Therefore, the graph of the function will be shown below.

Learn more about points lying on graph of a function here:

brainly.com/question/1979522

#SPJ2

Jane made a door frame for the house but does not have a tool to measure the angles. How can she check that the corner is 90 degrees?

Answers

Answer:

She can use any square object around her. Since squares are made up of right angles, any side she chooses can be used to compare the angle of the door. If the square corner fits perfectly, the angle is 90. If the square fits with space, obtuse. If the square doesn’t fit, acute

Step-by-step explanation:

Trudy bought 1 foot of fabric. If she cuts the fabric into 3-inch pieces, how many pieces will she have?

Answers

Answer:

Trudy will have 4 pieces of the fabric.

Step-by-step explanation:

Since, 1 foot of the fabric = 12 inches

If Trudy cuts the fabric into pieces of 3 inch.

Number of pieces she will have = [tex]\frac{\text{Total length of the fabric}}{\text{Length of one piece}}[/tex]

                                                     = [tex]\frac{12}{3}[/tex]

                                                     = 4 pieces

Therefore, she will have 4 pieces of the fabric.

1. Find the equation of a line, in Slope Intercept Form, that has a slope of 2 and
passes through the point (-3, 1).

Answers

Answer: y = 4

Step-by-step explanation:

Other Questions
9. On a math test with 52 questions, Kim solved 3/4 of the questions correctly. How many questions did Kim solveincorrectly?Pls hurry 1.[tex]16 \frac{3n}{4} \div 18 \frac{5n}{4} \times {4}^{n + 2} [/tex]simplify2.[tex] {2}^{2y} = 6( {2}^{y)} - 8[/tex]Find the value for y3.[tex] {2}^{2x + 1} - 15( {2}^{x}) - 8 = 0[/tex]Solve the equation I will mark you brainliest Santa Anna order how many rebels executed by the river? a)execute only half b)execute all of themc)execute the traitors onlyd)execute every other one Blood enters the right side of the heart and travels to the lungs. There, the lungs eliminate carbon dioxide and exchange it for more oxygen. The oxygen-rich blood enters the left side of the heart. Then, arteries carry blood away from the heart. What process is being described? Hydrogen burns exothermically in oxygenWhat is the energy given out during the reaction: 2H2 + O2 -> 2H2O? Given: H-H bond: 436 kJ/mol O=O double bond: 498 kJ/mol O-H bond: 464 kJ/molA. -3226 kJ/molB. -884 kJ/molC. -486 kJ/molD. -442 kJ/mol Examine the system of equations. Which is an equivalent form of the first equation that when added to the second equation eliminates the y terms? Negative StartFraction 5 Over 8 EndFraction x + three-fourths y = 12 8 x + 12 y = 11 1. What communist country lies just north of North Korea? _____________________________________________________________2. Along what line of latitude (running east to west on the map, called a parallel) was Korea divided after World War II?_____________________________________________________________3. What happened during June- September 1950?__________________________________________________________________________________________________________________________4. In November 1950, the UN front line was north of the North Korean capital of Pyongyang (pyuhng-YAHNG). What began on November 26 that pushed the UN forces south?__________________________________________________________________________________________________________________________5. Who were the major participants in the Korean War?__________________________________________________________________________________________________________________________ Type the appropriate ending in the blanks.Use uppercase OR lowercase**Don't forget accents! is has accent over the a like this: Which of the following best describes the difference between simple and compound interest?Simple interest is easier to calculate than compound interest.Simple interest earns interest on the previous interest earned only.Compound interest earns interest on the principal plus any previous interest earned.Compound interest earns interest on the principal only. What does 19+6y-8 equal? Describe, step-by-step how to find the slope of a line through two points How does Waverly's mother give her daughter support? *A. She lets Waverly eat cake from the bakery that sponsors her.B. She hires an old man to teach Waverly and pays for lessons.C. She takes Waverly to tournaments and gives her advice.D. She makes Waverly's brothers teach her how to play chess every day. Pls answer great gatsby question When your muscle gets tired, it builds up the _______ and makes it more powerful.Group of answer choicesmomentumbloodcellstissue Walter has a fear of enclosed spaces. He sweats profusely, shakes and becomes highly agitated whenever he thinks about enclosed spaces, and he avoids them at all cost, even if it means he will not be able to do something or go someplace. His friend Peter does not like enclosed spaces either; however, Peter will not avoid doing things that require him to be closed off or in a small space. The difference between Walter's reaction and Peter's reaction is that Walter's reaction: PLEASE HELP ME PLEASEEEEE most of the elements to the left of the stair step line in the periodic table exist as what? Describe General Grants generous terms of surrender. To begin, check that Reaction 1 and Forward are selected. In this reaction, hydrogen (H2) and oxygen (O2) react to form water (H2O). The reaction takes place inside a device called a calorimeter. Inside the calorimeter, a small chamber holds the reactants. The rest of the calorimeter is filled with water. Click Play (). What happens? HELPPPPPP ORUSHTKSHRBDJS