A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it

Answer:

[tex] \rm x = - 7 \pm \sqrt{11} [/tex]

Step-by-step explanation:

Solve for x over the real numbers:

[tex] \longrightarrow [/tex] x² + 14x + 38 = 0

Subtract 38 from both sides:

[tex] \longrightarrow [/tex] x² + 14x + 38 - 38 = 0 - 38

[tex] \longrightarrow [/tex] x² + 14x = -38

Add 49 to both sides:

[tex] \longrightarrow [/tex] x² + 14x + 49 = 49 - 38

[tex] \longrightarrow [/tex] x² + 14x + 49 = 11

Write the left hand side as a square:

[tex] \longrightarrow [/tex] x² + 7x + 7x + 49 = 11

[tex] \longrightarrow [/tex] x(x + 7) + 7(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)(x + 7) = 11

[tex] \longrightarrow [/tex] (x + 7)² = 11

Take the square root of both sides:

[tex] \longrightarrow [/tex] [tex] \sf \sqrt{{(x + 7)}^{2}} = \pm \sqrt{11} [/tex]

[tex] \longrightarrow [/tex] [tex] \sf x + 7 = \pm \sqrt{11} [/tex]

Subtract 7 from both sides:

[tex] \longrightarrow [/tex] [tex] \sf x = - 7 \pm \sqrt{11} [/tex]

Answer:

$3135 + $286d

Step-by-step explanation:

Given that:

Food booth = 11

Game booth = 22

Let number of days = d

Food booth rent = ($125 + 6d) * 11

Game booth rent = ($80 + 10d) * 22

Food booth = $1375 + $66d

Game booth = $1760 + $220d

Amount company is paid :

Food booth rent + game booth rent

($1375 + $66d) + ($1760 + $220d)

$(1375 + 1760) + $(66d + 220d)

$3135 + $286d

points to plot:

(0, 7) (1, 10) (2, 13) (4, 19)

For the given equation of the graph, the slope is 3 and the y-intercept is 7.

An algebraic equation known as a linear equation depicts a straight line on a graph. This equation has one as the greatest power of the variable or variables at play. In other words, no exponentiation or other mathematical action is performed on the variables in a linear equation.

The general equation of the straight line is,

y = mx + c

Here, m is the slope and c is the y-intercept.

Compare the given equation with the general equation of the line,

y = mx + c

y = 3x + 7

Therefore, the slope is 3 and the y-intercept is 7.

To know more about the equation of line follow

https://brainly.com/question/18831322

#SPJ6

Answer:

it takes ten tickles for an octopus to laugh

Answer:

y = 2x - 4

Step-by-step explanation:

Pls give me Brainliest thank you <3

Answer:91 i think

Step-by-step explanation:

Answer:

91

Step-by-step explanation:

6.5 x 14 =91

Answer:

Median

Step-by-step explanation:

In FGH, K is the midpoint of GH.

Therefore, FK is the median segment.

Answer:

Step-by-step explanation:

Multiply 100*$15 to find the loss. (1500)

Multiply 100*$21.75 to find what was made. (2175)

Subtract 2175-1500

Total=$675

Answer:

The percentage gain is 45 Percent.

Step-by-step explanation:

Answer:

x= -1

Step-by-step explanation:

First, distribute the -3 through the parentheses

4x-8= -3(2x+6)

= 4x-8= -6x-18

Second, move the variable to the left-hand side and change its sign

4x+6x= -18+8

10x= -10

Divide both sides by 10

x=-1

Answer:

x=-7

Step-by-step explanation:

first u wanna multiply (2x+6) which equals 12 the what u wanna do is move the constant to the right which is 4x-8=-36. Then calculate 4x=-36+8. then after that then u should end up with 4x=-28 then u divide it then u end up with ×=-7

Answer:

The correct answer is y = 3x + 1.

Step-by-step explanation:

I did the assignment, and it was correct. Hope it helps!

Answer:

y=3x + 1

Step-by-step explanation:

I got it right on the assignment and plus im smart

Answer:

Step-by-step explanation:

Step one:

given data

we are told that the  number of people under the survey is 3000

and also that 2100 people would like to buy again, these 2100 people represent the number of people who are satisfied with the type of car.

Step two:

Therefore the percentage of this number related to the total people under the survey is given below

=2100/3000*100

=21//30*100

=7/10*100

=7*10

=70%

Hence 70% of the people surveyed are satisfied with the type of car

Answer:

Its D.

Step-by-step explanation:

Give him brainliest he deserves it

Answer:

I don't know if this is right but 27

Step-by-step explanation:

Because 3 x 4 = 12 so that's A, and 5 x 3 = 15 so that's B. Add them together and get 27 for BA

Answer:

Step-by-step explanation:

1. Vertical angles are complementary

2. Vertical angles are adjacent

3. The complement of an acute angle is an acute angle

4. The supplement of an obtuse angle is an obtuse angle

Answer:

200

Step-by-step explanation:

1/4 would be 25 percent and 50 times 4 would be 200

Answer:-1

Step-by-step explanation:

I got it wrong and it said that that is the right answer

Answer:

i believe it is the answer on the right because alternate interior angles add up to 180 degrees

Answer:

2x-40= x+10 one

Step-by-step explanation:

they are alternate interior angles which equal each other, not 180

Given:

[tex]\sin (x)=-\dfrac{1}{2}[/tex]

[tex]\cos (y)=-\dfrac{1}{3}[/tex]

x is an angle in quadrant III, and y is an angle in quadrant II.

To find:

The value of sin(x+y).

Solution:

We know that, only sin and cosec are positive in II quadrant. Only tan and cot are positive in III quadrant.

x is an angle in quadrant III,

[tex]\cos x=-\sqrt{1-\sin^2 x}[/tex]

[tex]\cos x=-\sqrt{1-(-\dfrac{1}{2})^2}[/tex]

[tex]\cos x=-\sqrt{1-\dfrac{1}{4}}[/tex]

[tex]\cos x=-\sqrt{\dfrac{4-1}{4}}[/tex]

[tex]\cos x=-\dfrac{\sqrt{3}}{2}[/tex]

y is an angle in quadrant II.

[tex]\sin y=\sqrt{1-\cos^2x}[/tex]

[tex]\sin y=\sqrt{1-(-\dfrac{1}{3})^2}[/tex]

[tex]\sin y=\sqrt{1-\dfrac{1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{9-1}{9}}[/tex]

[tex]\sin y=\sqrt{\dfrac{8}{9}}[/tex]

[tex]\sin y=\dfrac{2\sqrt{2}}{3}[/tex]

Now,

[tex]\sin(x+y)=\sin x\cos y+\cos x\sin y[/tex]

[tex]\sin(x+y)=(-\dfrac{1}{2})\times (-\dfrac{1}{3})+(-\dfrac{\sqrt{3}}{2})\times (\dfrac{2\sqrt{2}}{3})[/tex]

[tex]\sin(x+y)=\dfrac{1}{6}-\dfrac{2\sqrt{6}}{6}[/tex]

[tex]\sin(x+y)=\dfrac{1-2\sqrt{6}}{6}[/tex]

Therefore, the correct option is B.

Answer:

Choice B

Step-by-step explanation:

Answer:

A is the answer

Step-by-step explanation: Edge 2020

Answer:

Suppose you earned extra money by having a part-time job. You open up a bank account in order to save your money. Your body acts similar to a bank account—you can “deposit” and “store” energy.

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Step-by-step explanation:

Answer:

Part B is Both batches have 2 more quarts of pineapple juice than sparkling water. The ratio of quarts of pineapple juice to quarts of fruity drink for the first batch is 3 to 5 or 3:5 or 3/5. The ratio for the second batch is 5 to 8 or 5:8 or 5/8. The second batch has a greater ratio of quarts of pineapple juice to quarts of fruity drink.

Answer:

b

Step-by-step explanation:

other person answered, just need some points

Answer:

Step-by-step explanation:

3

Answer:

i just did (and it's answer, btw)

Step-by-step explanation:

uhh yep lol

Answer:

The new price is $43.55.

Step-by-step explanation:

$67 * .35 = $23.45; this is your discount amount.

To find the new price.

$67(original price) - $23.45(35% discount) = $43.55

Answer:

A product that normally costs $67 with a 35 percent discount will cost you $43.55, and you saved $23.45.

Step-by-step explanation:

credit to:

researchmaniacs.com

Answer:

There is no solution

Step-by-step explanation:

There are no values of (a) that make the equation true.

Answer:

a = 11/13

Step-by-step explanation:

Multiply both sides by 1 - a

12(1 - a) = 1 + a

= 12 - 12a = 1 + a

Subtract 12 from both sides

= -12a = -11 + a

Subtract a from both side

-13a = -11

Divide by -13 each side

-13a/13 = -11/-13

= a = 11/13

Answer:

14.29% increase

Hope this helps!

Step-by-step explanation:

The formula for this would be:

New value - Old value

Then divide the answer by the old value

Finally multiply it by 100

So it should be $400 - $350 which is $50

Then $50 ÷ $400 which is 0.125

Finally do 0.125 × 100 which is 12.5

So there has been a 12.5% increase

Hope this helps and/or makes sense!