put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6 ​

Answers

Answer 1

Answer:

The general equation of a slope-intercept form is as below;

[tex]y = mx + c[/tex]

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

[tex]5x + 2y = - 6 [/tex]

subtract 5x from either sides:

[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]

apply the division rule of equality:

[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]

slope » -5/2

y - intetcept » -3


Related Questions

0 can be natural number true or false

Answers

Answer:

No Natural numbers start from 1

Step-by-step explanation:

true it can be a natural number

-3/7(21x+7)=-7x+11
A.) x=-7/8
B.) x=-7
C.) x=7
D.) x=-7/8

Answers

Answer:

B

Step-by-step explanation:

-3/7 (21x + 7) = -7x + 11

Let's simplify the left side real quick

Distribute the -3/7

(-3/7)21x + 7(-3/7)

-63x/7 + -21/7

-9x - 3 = -7x + 11

Move like terms to one side

Let's move the variables to the left side by adding both sides by 7x

-9x - 3 = -7x + 11

+7x        +7x

-2x - 3 = 11

Add both sides by 3

-2x - 3 = 11

     +3    +3

-2x = 14

Divide both sides by the coefficient, -2, to isolate the variable, x

-2x/-2 = 14/-2

x = -7

Solve.

2x−y−4z=4
3x−2z=7
x−2y=−2

Enter your answer, in the form (x,y,z), in the boxes in simplest terms.

Answers

9514 1404 393

Answer:

  (x, y, z) = (2, 2, -1/2)

Step-by-step explanation:

Most manual solutions to a system of 3 equations in 3 unknowns are ad hoc. The idea is to take advantage of any relationships that might exist between the coefficients.

Multiply the first equation by 2, then subtract the third equation.

  2(2x -y -4z) -(x -2y) = 2(4) -(-2)

  4x -2y -8z -x +2y = 8 +2 . . . . . . . eliminate parentheses

  3x -8z = 10 . . . . . simplify

Now, we can subtract this from the second equation:

  (3x -2z) -(3x -8z) = (7) -(10)

  6z = -3 . . . . . . . simplify

  z = -1/2 . . . . . . . divide by 6

Using the second equation, we can find x:

  3x -2(-1/2) = 7

  3x = 6 . . . . . . . . subtract 1

  x = 2 . . . . . . . . . divide by 3

Using the last equation, we can find y:

  2 -2y = -2

  1 -y = -1 . . . . . . divide by 2

  y = 2 . . . . . . . . add y+1

The solution is ...

  (x, y, z) = (2, 2, -1/2)

4x squared minus 7x =3

Answers

Step-by-step explanation:

4x^2-7x=3

4x^2-7x-3=3-3

4x^2-7x-3=0

X1,2= -(-7)±√(-7)^2-4*4(-3)/2*4

x1,2= -(-7)±√97/2*4

X=7+√97 /8,X=7-√97 /8

the base of a prism is right angled triangle with its two shorter sides equal to 4cm and 8cm . the prism is 10cm long.!​

Answers

Answer:  you want :

volume = area of base x height

Your base is a right-angled triangle

= (1/2)(4)(8)

multiply that by the height of the prism and you are done

Step-by-step explanation: add me brainliest and rate and say thanks

Good science requires that you record your observations accurately.



TrueFalse

Answers

Answer:

True.

Step-by-step explanation:

The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in tall. If one average textbook has the dimensions of 8.5 in wide by 11 in long by 1.5 in tall, how many books could you fit on your bookshelf with no shelving?

Answers

Answer:

About 73.93 books. Round that to 73 books, because you can't place 93% of a book.

Step-by-step explanation:

You first calculate to dimensions of the bookcase, then you calculate the dimensions of the books. As a result, divide the calculation of the bookshelf by the calculation of the books, and you should have your answer.

(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))​

Answers

Answer:

[tex] \sqrt[3]{4} \times {3}^{ \frac{35 \sqrt{3} }{54} } [/tex]

Step-by-step explanation:

attached

the square root of 24025

Answers

Answer:

155

Step-by-step explanation:

✓24025=155

..,......,.................

help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-10 because you do parenthesis first

Answer:

x = -10

Step-by-step explanation:

3(-2x - 3) + 4x - 3 = 8

~Simplify

-6x - 9 + 4x - 3 = 8

-2x - 12 = 8

~Add 12 to both sides

-2x = 20

~Divide -2 to both sides

x = -10

Best of Luck!

93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)] (b) lim x→3 g[f(x)]​

Answers

Answer:

a) 26. b) 13

Step-by-step explanation:

steps are in picture.

Note:If you have any question about it you can ask.

PLSSS HELPPPPP- Evaluate the expression. 1 1 4 25 3 Write your answer as a fraction or as a whole or mixed number.​

Answers

Answer:

Mixed number form 4 4/5 exact form 24/5

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

8/15

What is the y-intercept of the function f(x) = -2/9x+1/3​

Answers

Answer:

(0, 1/3)

Step-by-step explanation:

When a function is given in slope-intercept form, the y value of the y-intercept can be seen at the end of the function. In this case, the y-intercept of the function is (0, 1/3).

How do you add or subtract fractions?

Answers

Answer:

STEP ONE: Get a common denominator.

STEP TWO: Add or subtract the numerators.

STEP THREE: Simplify the result if needed.

And that's all there is to it! Final Answer

Answer:

By doing it normally as in arithmetic rule

Step-by-step explanation:

For starter see the following 2 numbers

334, 53

let add them and substract them in arithmetic way

334

+53

------

387

and

334

-53

------

281

here from right to left we add a single number and write it under the line, if the sum is above 1 decimal value the value upto 1 decimal from the very right of that number is written , for example in case of 9+8 that would be 17 so we would write 7 and carry 1, and the oposite of that for subtraction

Just in the same way lets consider the following example

1.23

+0.93

--------

2.16

and

1.23

-0.93

---------

0.30

Add followup question if needed

I need help and ty for helping

Answers

She can make 8

48/6=8
32/4=8

6. The population of wolves is currently 250 in a forest. Scientists estimate that there should be a
10% increase in population next year. What would the population of wolves be next year?

Answers

Answer:

275

Step-by-step explanation:

250÷10=25 250+25=275

what is equivalent to -7/-9

Answers

-7/-9 is equivalent to -14/-18. Multiply the denominator and numerator by the same number(I used 2)

Vertical Stretch of 7, up 8, reflect over the x axis???

Answers

Answer:

f(x) = -(7x) + 8

Step-by-step explanation:

The negative on the outside reflects over the x-axis.

The 7 on the inside stretches the function vertically.

The +8 on the outside moves the function up 8.

-what is the sum of -15+18​

Answers

Step-by-step explanation:

the sum of - 15 + 18 is 3

please mark the brainliest thank you

Answer:

Step-by-step explanation:

-15+18​ = 3

As you move to the right of this place value chart you are multiplying by what value

Answers

Answer:  1/10 or 0.1

For example, going from 700 to 70 is

700*(1/10) = 700*0.1 = 70

which is us going from the hundreds place value to the tens place value.

If we move to the left instead of right, we would multiply each item by 10.

Please help this work is some BS☹️

Answers

Answer: Ray AC is correct

This is because ray AE points in the same direction along ray AC. Put another way, points C and E are on the same line as A. So relabeling from "ray AE" to "ray AC" does not change the ray itself.

Keep in mind that order is important. So saying "ray AE" is completely different from "ray EA" due to the fact that the first letter is the endpoint while the second letter is where the ray goes on forever. So we can think of starting at point A and going in the direction of E to get ray AE, or going in the direction of C to get ray AC, and we're talking about the same ray.

Simplify 8/11 divided by 4

Answers

Answer:

2/11

Step-by-step explanation:

This will not always work!!! But i divided 8 by 4 and got 2. I used my calculator and got the same exact answer

Hope this helps.

Does anyone know how to do this

Answers

Answer:

Step-by-step explanation:

1. Thousands. Grater number 1,799,347

2. Millions. 3,555,782

3. Hundred thousands. 97,245,375

4. Hundred millions. 670,256,112

5. Hundreds. 34,910,295

6. Tens. 83,945,290

7. Ones. 823,579,044

8. Ten millions. 759,566,000

9. Ten thousands. 56,230,448

10. Tens. 967,442,021

11. Hundred thousands. 326,738,902

12. Tens. 5,266,993

Noemy had homework three days of the school week. What is the ratio of days with homework to days without homework?

Answers

Answer:

3 : 2

Step-by-step explanation:

Number of days having homework during school week =  3

Number of days not having homework during school week =  5 - 3 = 2

Homework days : Without home work days = 3 : 2

Angle sum theorem. What does y=?

Answers

Answer:

90 degrees

Step-by-step explanation:

Michael is working two jobs. He gets paid $15 per hour for his job. He earns $12 per hour at his second job. Michael worked the same amount of time at each job. Michael earned a total of $405 for the week. How many hours did he spend working at each job? How many hours did Michael work in the week total?

Answers

This is the answer I hope it helps (sorry for the bad handwriting)

Answer:

15 hours and 30 hours

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

help please, need help.

Answers

Answer: c

Step-by-step explanation:

correct answer would be b.

this is shown by just moving the individual points following the directions of the different answer choices.

A number rounded to the nearest hundred thousand is 400,000 the same number rounded to the nearest ten thousand is 350,000 what is the number

Answers

Answer:

347,000

Step-by-step explanation:

Can someone help me with problem 6 and 7? Please explain I am confused

Answers

This is interesting. You cannot turn 1/4 or 2/4 or 3/4 into a mixed number because they are proper fractions. Perhaps ask your teacher about it? Or just rewrite the fractions as is and state they are in proper form.

Same with 7. They are each simplified already. I would suggest asking your teacher.

Write expression as a sine or cosine of an angle.
cos 94° cos 18° + sin 94° sin 18° ​

Answers

Answer:  cos(76)

=========================================================

Explanation:

The original expression is of the pattern cos cos + sin sin. This pattern matches the second identity in the hint. Specifically, we'll say the following:

cos(A - B) = cos(A)cos(B) + sin(A)sin(B)

cos(A)cos(B) + sin(A)sin(B) = cos(A - B)

cos(94)cos(18) + sin(94)sin(18) = cos(94 - 18)

cos(94)cos(18) + sin(94)sin(18) = cos(76)

----------

We can verify this by use of a calculator. Make sure your calculator is in degree mode.

cos(94)cos(18) + sin(94)sin(18) = 0.24192cos(76) = 0.24192

Both expressions give the same decimal approximation, so this helps confirm the two expressions are equal. You could also use the idea that if x = y, then x-y = 0. Through this method, you'll subtract the left and right hand sides and you should get (very close to) zero.

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