if a - b = 4 and a² - b² =12, what is the value of a + b?.

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Answer:

x=-2/3

Step-by-step explanation:

Answer:

q

Step-by-step explanation:

Answer:

43 because 80-37=43

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

some people can't understand lafossefams joke

The method of completing the squares method will be used for the next step. The next step would be ( x+ (b/2a)  )^2 = -c/a + b^2/(4a^2)

Suppose that two terms are 'a' and 'b'.

Then, their sum's square is expanded as:

[tex](a+b)^2 = a^2 + 2ab + b^2[/tex]

For this case, we're given the quadratic equation with its 4 steps of solution as:

[tex]ax^2 + bx + c = 0\\\\\dfrac{ax^2}{a} + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} + \dfrac{c}{a} = 0\\\\x^2 + \dfrac{bx}{a} = -\dfrac{c}{a}\\\\x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = -\dfrac{c}{a} + \dfrac{b^2}{4a^2}[/tex]

We've to proceed to the next step.

In the left hand side, we can use the formula [tex](a+b)^2 = a^2 + 2ab + b^2[/tex], where [tex]\rm a \: is \: x^2, and \: b \: is \: \dfrac{b}{2a}[/tex]

Thus, we have:

[tex]x^2 + \dfrac{bx}{a} + \dfrac{b^2}{4a^2} = x^2 + 2 \times x \times \dfrac{b}{2a} + \left(\dfrac{b}{2a} \right)^2 = \left( x + \dfrac{b}{2a} \right)^2[/tex]

We expressed the left sided expression in this form so that the variable 'x' (which is assuminly the only variable in the equation, whose value is to be known) gets packed into single container and not spread throughout with different powers.

Now, we can use square root and then subtraction and division of some terms which will make 'x' stay on one side of the equation, and rest of the constants on other side, as the value of 'x' for which the considered equation [tex]ax^2 + bx + c = 0[/tex] is correct.

The next step of the solution, therefore, is:

[tex]\left( x + \dfrac{b}{2a} \right)^2 = \dfrac{-c}{a} + \dfrac{b^2}{4a^2}[/tex]

Learn more about completing the squares method here:

https://brainly.com/question/16800259

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Answer:

and? What about Jade's garden?

Step-by-step explanation:

Answer:

There is no problem to go with this statement, please use full questions.

Step-by-step explanation:

Answer: R = 3/7

Step-by-step explanation:

The complete question is:

Erin loves to play sports! She has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.

What is the ratio of Erin's tennis trophies to soccer trophies?

This is simply the quotient between the number of tennis trophies and the number of soccer trophies.

She has 3 tennis trophies and 7 soccer trophies, then the ratio is:

R = 3/7

Answer:

10x=4

x=4/10

x=2/5

Step-by-step explanation:

Answer:

3x+4x+3x=12-8

10x=4

x=4/10

x=2/5

x= o.4

hope you have a nice day

( •_•)>⌐■-■        ( ⌐■_■)

               -kay

Answer:

a) The addition property of equality

b) The division property of equality

Step-by-step explanation:

Here, we want to know the correct step to use

From the given question, to proceed;

All we have to do is to move the value that has a negative value on the left hand side to the right hand side

what accompanies this is the addition of the both terms, on the right hand side

After this, we now proceed to divide the sum by the coefficient of x

Thus, the correct choices are;

a) The addition property of equality

b) The division property of equality

Answer:

I think 3 have more, but I am not 100 percent

Answer:

1 3/8

Step-by-step explanation:

Answer:

175 miles

Step-by-step explanation:

Average of 25 miles per gallon of fuel

Miles : gallons = 25 : 1

Predict how many miles they will be able to get from 7 gallons of fuel by using equivalent rates

Let x = number miles

Miles : gallons = x : 7

To find x

25 : 1 = x : 7

25/1 = x/7

Cross product

25*7 = 1*x

175 = x

x = 175 miles

Number miles = 175

Answer: 64.8 mph

Step-by-step explanation:

Given

Arriving time is 6 hours

return time is 4 hours

The average speed of returning 81 mph

Distance traveled while returning

[tex]\Rightarrow d=81\times 4=324\ miles[/tex]

the average speed of the entire trip is

[tex]\Rightarrow v_{avg}=\dfrac{2\times 324}{6+4}=\dfrac{648}{10}=64.8\ mph[/tex]

Answer:

y=q(x-r)+p

Step-by-step explanation:

y-y1=m(x-x1)

y-p=q(x-r)

y=qx-qr+p

y=q(x-r)+p

Answer:

j=57/8

Step-by-step explanation:

Answer:

J=7

Step-by-step explanation:

calculate

8j=75-19,

Divide both sides

8j=56

Answer:

option A

Step-by-step explanation:

it says that 1.2 with the mark percent representing the function percent it is also increasing

Therefore, it's a

Glad I can help tell me if you need anything else!

Answer:

The slope of this line will be y=-4/5x+2

Explanation:

Hope this Helped

Answer:

The triangle is about 253cm smaller than the pentagon

Step-by-step explanation:

Answer:

The triangle is 253cm^2 less than the pentagon.

Step-by-step explanation:

I got it right on the test.

Answer:

1/2

Step-by-step explanation:

3/4 * 2/3 = 1/2

Answer:

There is nothing wrong with the answer obtained

Step-by-step explanation:

Given the equation :

Y = mx + b

-2 = 3(4) + b

-2 = 12 + b

-14 = b

The correct calculation :

Y = mx + b

-2 = 3(4) + b

-2 = 12 + b

Subtract 12 from both sides

-2 - 12 = 12 + b - 12

-14 = b

Based on the details of the question given, the intercept, b is - 14 ;

Hence, there is nothing wrong with the answer

Slope of  line that passes through two points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(2, -5)    ⇒    x₁ = 2,  y₁ = -5

(-4, 1)      ⇒   x₂ = -4,  y₂ = 1

[tex]\bold{m=\dfrac{1-(-5)}{-4-2}=\dfrac{1+5}{-6}=-1}[/tex]

Any line with a slope of -1 is parallel the line that passes through the points

(2, –5) and (–4, 1)

Answer:

Step-by-step explanatWhich line is parallel to the line that passes through the points (-1, 2) and (5, -4)?

ion:

Answer:

088y765

Step-by-step explanation:

Coefficient of 14x is 14

Coefficientis the number in front of the letter. For example, coeffient of 2b is 2. When there is no number in front of the letter the coefficient is 1.

Answer:

556 degrees i think

Step-by-step explanation:

Answer:

9 is c

10 is b

i think the last one is a but not too sure

Step-by-step explanation:

Answer:

$477

Step-by-step explanation:

Net Price:$ 450.00

+ Sales Tax (6%):$ 27.00

Total Price:$ 477.00

Answer:

642 right??

Step-by-step explanation:

Was this the answer you were looking for?

Answer:

C - A -B - C -A

Step-by-step explanation: