Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)

Answers

Answer 1
Answer:  5x + y + 21 = 0

Work Shown:

y + 6 = -5(x + 3)

y + 6 = -5x - 15

y + 6 + 5x + 15 = 0

5x + y + 21 = 0

The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.

Answer 2

Answer:

5x + y = -21

Step-by-step explanation:

y + 6 = -5x - 15

5x + y + 6 = -15

5x + y = -21


Related Questions

Just a quick math problem that I forgot how to do.

Answers

Answer:

16

Step-by-step explanation:

If they are parallel then the 2 angles are congruent, so

8x + 14 = 12x - 50

64 = 4x

16 = x

Answer:

x = 16

Step-by-step explanation:

For the 2 lines to be parallel, then

12x - 50 and 8x + 14 would be corresponding angles and congruent , so

12x - 50 = 8x + 14 ( subtract 8x from both sides )

4x - 50 = 14 ( add 50 to both sides )

4x = 64 ( divide both sides by 4 )

x = 16

The regular price of an item is $150. The item is on sale at a discount rate of 30%.
What is the sale price of the item?
$45
$105
$120
1970

Answers

Answer:

$105

Step-by-step explanation:

30% of 150 is 45.

150-45 = 105

Hope that helps

It would be $105 for the sales price

0.25(x + 4) - 3 = 28

Answers

Answer:

x = 120

Step-by-step explanation:

0.25(x + 4) - 3 = 28

Multiply 0.25 into the parenthesis

0.25x + 1 - 3 = 28

Combine like-terms

0.25x - 2 = 28

Add 2 to both sides

0.25x = 30

Divide both sides by 0.25

x = 120

The answer is 120

0.25(x+4)-3=28
0.25x+1-3=28
0.25x-2=28
0.25x=30
x=120

Find the exact value of the indicated trigonometric function of θ.
sin θ = [tex]\frac{1}{6}[/tex], sec θ < 0 Find cos θ and tan θ. ____________________

Answers

Answer:

cosθ = -√(35/36)

tanθ = -1/√35

Step-by-step explanation:

We know that

sin²θ + cos²θ = 1

(1/6)² + cos²θ = 1

1 - (1/6)² = cos²θ

35/36 = cos²θ

sec θ = 1/ cosθ

1/ secθ = cos θ

Because secθ < 0, 1/ secθ would also be < 0, so cos θ < 0

cosθ = -√(35/36)

tanθ = sinθ/cosθ = (1/6)/-√(35/36)

= (1/6) / -(√35/6)

= -1/√35

An athlete trains by swimming 3/5 miles in 1 day.

Which expression shows how many miles he would swim in 7 days?

Answers

Answer:

3/5 x 7

Step-by-step explanation:

The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.

write the decimal 4.005 as a fraction in the simplest form​

Answers

1) write 4.005 as 4.005/1
2) Mulitply both numerator and denominator by 10 for every number after the decimal point
4.005x1000/1x1000 = 4005/1000

reducing the fraction gives
801/200

Steps to convert decimal into fraction

Write 4.005 as  

4.005

-----------

1

Multiply both numerator and denominator by 10 for every number after the decimal point

4.005 × 1000

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

1 × 1000

=  

4005

-----------

1000

Reducing the fraction gives

801

--------

200

I think that font up there might not be that understandable, so I got a picture for ya!

Given the word FAMILY, find the number of ways you can arrange with all letters

Answers

Answer:

That's impossible to make another word with all those letters used together.

But 5 letter words like  filmy and flamy

and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.

And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai,  and ail

and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.

It's not impossible

I Hope I Had HELPED You :)

SO there is 39 different ways to make other words with the letters you have given me.

The factorize formula for n.

n! = n(n - 1)(n - 2)(n - 3).......1

The number of ways that can be arranged with all letters is 720.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The factorize formula for n.

n! = n(n - 1)(n - 2)(n - 3).......1

FAMILY

The number of ways that can be arranged with all letters.

The number of letters in the word FAMILY.

= 6

The number of ways.

= 6!

= 6 x 5 x 4 x 3 x 2 x 1

= 730 ways.

Thus,

The number of ways that can be arranged with all letters is 720.

Learn more about expressions here:

https://brainly.com/question/3118662

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Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.

Answers

The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

The given parameters are:

[tex]a = 12000[/tex] --- the initial value of the car

[tex]r = 12\%[/tex] -- the loss per year

The estimation is an illustration of an exponential function.

An exponential function is represented as:

[tex]y = a(1 -r)^x[/tex]

Rewrite as a function

[tex]f(x) = a(1 -r)^x[/tex]

Substitute values for (a) and (r)

[tex]f(x) = 12000(1 -12\%)^x[/tex]

Express 12% as decimal

[tex]f(x) = 12000(1 -0.12)^x[/tex]

Subtract 0.12 from 1

[tex]f(x) = 12000(0.88)^x[/tex]

The graph of f(x) has a horizontal asymptote at x = 0.

Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

Read more about exponential functions at:

https://brainly.com/question/12940982

Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units

Answers

Answer:

  6√3 square units

Step-by-step explanation:

The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...

  3(2/√3) = 2√3 . . . . side AB in the attached figure

and

  2·3 = 6 . . . . . . . . . . side AC in the attached figure

Then the area of the triangle is ...

  A = 1/2bh

  A = 1/2(6)(2√3) = 6√3 . . . . square units

Y=-2|x+2|-4 i need to find y intercept and the x intercept

Answers

Answer:

x-int: ∅

y-int: (0,-8)

Step-by-step explanation:

To find the x and y-intercept, simply plug in zero for x and y:

[tex]0=-2|x+2|-4\\4=-2|x+2|\\-2=|x+2|\\[/tex]

Because an absolute value cannot be equal to a negative, there is no x-intercept.

[tex]y=-2|0+2|-4\\y=-2|2|-4\\y=-4-4\\y=-8[/tex]

Hope it helps :)

Please help me first person will get brainliest!!

Answers

Answer:

6w-60x+6

Step-by-step explanation:

6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

Answer: 6(w-10x+1)

6w+6(-10)+6*1

6w-60x+6

Step-by-step explanation: hope it helps you .Thanks .

what is 100 over 2 simplifided

Answers

Answer:

50

Step-by-step explanation:

In square GEOM, the coordinates of G are (-3, 2) and the coordinates of O are (1, -2). Determine and state the coordinates of vertices E and M.

Answers

Answer:

E is (1, 2) and M is (-3,-2),

Step-by-step explanation:

G and O are diagonally opposite points.

E is the image of O in the x axis and M is the image of G in the x axis.

E which is adjacent to M and  will have y-coordinate of 2 and x -coordinate 1.

M  will have x coordinate same as G which is -3 and y coordinate is -2.

The coordinates of E are (1, 2) and coordinates of M are (-3,-2),

What are Coordinates?

The coordinates of a point are referred as (x, y), where x represents the position of the point with reference to the x-axis, and y represents the position of the point with reference to the y-axis.

Here, G and O are diagonally opposite points.

E is the image of O in the x-axis and M is the image of G in the x axis.

E which is adjacent to M and  will have y-coordinate of 2 and x -coordinate 1.

M  will have x coordinate same as G which is -3 and y coordinate is -2.

Thus, the coordinates of E are (1, 2) and coordinates of M are (-3,-2),

Learn more about Coordinates from:

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what is x?

3x-5=10

please help and thank you

Answers

Answer:

5

Step-by-step explanation:

3x - 5 = 10

3x = 15

x = 5

I hope it helps bye, good luck

Answer:

x=5

Step-by-step explanation:

Move all terms not containing  x  to the right side of the equation.

Add  5 to both sides of the equation.

3x = 10 + 5

Add 10 and 5

3x = 15

Divide each term in  3x = 15  by 3  and simplify.

3x/3 = 15/3

Simplify the left side

Cancel the common factor of  3

x = 15/3

Divide 15 by 3

x = 5

The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:

Answers

Answer:

the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17

question (e) only please show working as well appreciate it

Answers

Answer:

a. f(2) = 6

b. f(3) + f(-3) = 62

d. 3(x+1)^2 - 5(x+1) + 4

e. This one looks like the secant line equation. Not fully sure.

Step-by-step explanation:

You replace whatever is inside of the parenthesis with the x in the function. For the first two, you just have to calcluate the numbers.

For the other two , you have use algebra. For d, you replace x with x+1.

Solve using substitution.
3x + 2y = -13
X – 9y = 15

Answers

Answer:

Step-by-step explanation:

x = 7/11, y = -16/11

Somebody please help

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line.

Answers

Perpendicular: 3
Parallel:5
I think

help asap please for brainlist !!!!!!!!!

Answers

Bff i answered this earlier. It’s step 2!!! Because if you’re flipping the numerator and denominator, the sign of the exponent should be flipped as well. So the exponent will turn into -5x
Sorry if my previous answer was vague. #brainliest!!!

4d-6=-14+5d
i neeed help the last person didn’t even help me

Answers

8d so you subtract 4d from 5d then you get 1d then change -14 into positive 14 and add it to negative 6

help pleaseeeeeeeeeeeee​

Answers

Answer:

C

Step-by-step explanation:

if its not the same on both sides its not communitave. hope this helps

helppppp meee pleaseeeee !!!!! :(

Answers

Answer:

70°

Step-by-step explanation:

the bottom small triangle is isosceles, which means in this case it has 2 35° angles. the third angle y is 180-2*35=110°

x is 180 - y = 180-110 = 70°

70 degrees is the answer

I NEED HELP QUICK ‼️‼️‼️ PLEASE

Answers

Answer: no

Step-by-step explanation:

the angle is too steep

The mixed number 2Five-sixths is equivalent to a fraction with a denominator of 6.

2Five-sixths = StartFraction question mark over 6 EndFraction

What is the missing numerator in the equivalent fraction?

8
12
17
18

Answers

Answer:

what the answer

Step-by-step explanation:

5. What are the slope and y-intercept of the graph of y= 30 + 5?

Answers

helloo 30 is the slope and 5 is the y-intercept ! hope this helps :)

Please help quick ..

What distance was an object moved by a force of 35 N if the work was 665 joules?

19m

23,275m

630m

22m

Answers

Answer:

19m, A

Step-by-step explanation:

Work = Force x distance

so rearrange to get:

distance = Work ÷ Force

distance = 665÷35

distance = 19m

There were 36 people in a school play. There were three times as many students in the play as teachers. How many students were in the play? How many teachers?

Answers

Answer:108

Step-by-step explanation:

36 times 3, right??

I really need help it’s due in two days

Answers

Answer:

Step-by-step explanation:

The answer is "Impossible to solve" , because there is no rule for function at point x = 7 . The given function has domain ( - ∞ , 2 ) ∪ { 2 } ∪ ( 2 , 7 ) ⇒ 7 is not a part of domain!!!

One group of carolers goes to every 6th house in a neighborhood, another goes

to every 8th house. At which house will the first meet?

Answers

The carolers would meet first at the 24th house.

In order to determine in which house the carolers would meet, the multiple of 6 and 8 have to be determined. They would first meet at the first common multiple of 6 and 8.

A multiple of a number is the product of an integer and that number.

First ten multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54 and 60First ten multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, Least common multiple = 24

To learn more about multiplies, please check: https://brainly.com/question/10520264

2(w+5)
Use the distributive property to remove the parentheses.

Answers

Answer:

2w +10  yw  and give me brainliest cuz its correct

Step-by-step explanation:

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