Alberta is going to take a 2-hour-26-minute flight from Chicago, Illinois, to

Convert the equation y= -4x + 2/3 into general form equation and find t the values of A,B and C.

alukav5142 [94]

Answer:

Standard form: $12x+3y-2=0$

A = 12, B = 3 and C = -2

Step-by-step explanation:

Given:

The equation:

$y= -4x + \dfrac{2}3$

To find:

The standard form of given equation and find A, B and C.

Solution:

First of all, let us write the standard form of an equation.

Standard form of an equation is represented as:

$Ax+By+C=0$

A is the coefficient of x and can be positive or negative.

B is the coefficient of y and can be positive or negative.

C can also be positive or negative.

Now, let us consider the given equation:

$y= -4x + \dfrac{2}3$

Multiplying the whole equation with 3 first:

$3 \times y= 3 \times -4x + 3 \times \dfrac{2}3\\\Rightarrow 3y=-12x+2$

Now, let us take all the terms on one side:

$\Rightarrow 3y+12x-2=0\\\Rightarrow 12x+3y-2=0$

Now, let us compare with $Ax+By+C=0$ .

So, A = 12, B = 3 and C = -2

6 0

3 years ago

Graph the function f(x)=(−x−4)(x+2).

sleet_krkn [62]

The points of the graph of function be (0,-8) , (1,-15) ,(2,-24).

Given f(x)=(-x-4)(x+2)

We have to first multiply both the expressions to get f(x)

Expression refers to combination of numbers, symbols, variables, etc. It is usually not in equal to form. It expresses the relationship between variables. To find out the graph we need to first points of function.

f(x)= $-x^{2} -2x-4x-8$

Now we have to add 2x and 4x

f(x)= $-x^{2} -6x-8$

Put the value of x=0

f(0)=0-0-8

=-8

Put the value of x=1

f(1)=-1-6-8

=-15

Put the value of x=2

f(2)=-4-12-8

=-24

Now plot these points on the graph to get the graph of function f(x)=(-x-4)(x+2).

Learn more about function at brainly.com/question/10439235

#SPJ10

5 0

2 years ago

1. Name the formula for the Law of Sines? Can it be written any other way? What do the letters stand for? When you are solving t

EastWind [94]

Answer:

see explanation

Step-by-step explanation:

The formula for the Sine rule is

$\frac{a}{sinA}$ = $\frac{b}{sinB}$ = $\frac{c}{sinC}$

Where a, b and c are the sides of a triangle and A, B , C are the angles opposite the corresponding sides, that is

A is opposite side a, B is opposite side b, C is opposite side c

The sine rule is usually applied using a pair of the ratios, where

2 sides and an angle are known to find an unknown angle.

1 side and 2 angles are known to find an unknown side.

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2

There are 2 forms of the Cosine rule

(a) a² = b² + c² - (2bc cosA ) ← to calculate an unknown side

(b) cosA = $\frac{b^2+c^2-a^2}{2bc}$ ← to calculate an unknown angle

(a) is used given 2 sides of a triangle b and c are known with A being the included angle ( the angle between the 2 sides )

(b) is used when the 3 sides a, b and c are known

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3

If the angle A = 90° then cos90° = 0 and formula (a) becomes

a² = b² + c² ← that is Pythagoras' identity

4 0

3 years ago

Read 2 more answers

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

Ahat [919]

Greetings!

"Write and solve an equation to determine how many servings of this item ...exactly 45 grams of cholesterol"...

The variable in this equation would be the amount of servings she can eat of the items.
Lets represent this as $x$ ; $x$ =amount of servings

The item has 30 mg of cholesterol and she wants to only consume 45 mg.

The equation would be:
$30x=45$

Solve for x.
Divide both sides by 30.
$(30x)/30=(45)/30$
Simplify.
$x=1.5
$

Alisa can consume 1.5 servings of the item each day.

Hope this helps.
-Benjamin

7 0

3 years ago

Which value must be added to the expression x^2+12x to make it a perfect square trinomial a:6 b:36 c:72 d:144

Ksivusya [100]

The answer would be 36. Why?

Because in the equation we would need to do (x + 6)(x + 6) to get a perfect square trinomial.

And 6 * 6 is 36.

So the whole equation would be: x^2 + 12 + 36.

Hope this helped! c:

7 0

4 years ago

Read 2 more answers