Given a quadratic equation x²-2xy+y² =0

Which equation shows the correct use of the Distributive Property? <br> −4(32x−12)=−15

KengaRu [80]

Answer:

-128x + 48 = -15

Step-by-step explanation:

I don't any choices to pick from but using the distributive property you will multiply the -4 by everything in the parenthesis.

-4(32x - 12) = -15

=-128x + 48 = -15.

6 0

3 years ago

Read 2 more answers

How do I factor out a constant before factoring out a quadratic? <br>Factor completely: 3w^2-3w-90

pantera1 [17]

$3w^2-3w-90 =0 \ \ \:3 \\ \\w^2- w-30 =0 \\ \\a=1 , \ b= -1 , c= -30 \\ \\\Delta =b^2-4ac = (-1)^2 -4\cdot1\cdot (-30) =1+120=121 \\ \\w_{1}=\frac{-b-\sqrt{\Delta} }{2a}=\frac{1-\sqrt{121}}{2 }=\frac{ 1-11}{2}=\frac{-10}{2}=-5$

$w_{2}=\frac{-b+\sqrt{\Delta} }{2a}=\frac{1+\sqrt{121}}{2 }=\frac{ 1+11}{2}=\frac{12}{2}=6 \\ \\ Answer:\\ \\ w^2- w-30 =(x+5)(x-6)$

3 0

3 years ago

A special box designed to hold an antique artifact is shaped like a triangular prism. The surface area of the box is 421.2 squar

Oksanka [162]

The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches

8 0

3 years ago

If 123 and x are in proportion find the value of x

Marizza181 [45]

1:2=3:x

1/2=3/x

1×x=3×2

x=6

3 0

3 years ago

A.) The median player salary for the New York Yankees was $1.5 million in 2007 and $1.7 million in 2013. Write a linear equation

egoroff_w [7]

A general linear equation is given by:

$y = a*x + b$

Where a is the slope and b is the y-intercept.

Here we will find that the linear equation that represents the situation is

$y = 0.033*x + 1.269$

And we can expect that the median salary in 2048 is $2.853 million

If the line passes through the points (x₁, y₁) and (x₂, y₂) then the slope can be written as:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

Here we know that:

in 2007 (x = 7) the median player salary was y = $1.5 million

in 2013 (x = 13) the median player salary was y = $1.7 million.

Then we have two points that we can write as:

(7, 1.5)

(13, 1.7)

Note that the y-value is in millions.

Then the slope of the linear equation will be:

$a = \frac{1.7 - 1.5}{13 - 7} = 0.033$

So the linear equation is something like:

$y = 0.033*x + b$

To find the value of b, remember the point (7, 1.5), this means that when we have x = 7, we also have y = 1.5, then we can replace these in the above equation:

$1.5 = 0.033*7 + b\\\\1.5 - 0.033*7 = b = 1.269$

Then the linear equation is:

$y = 0.033*x + 1.269$

b) Now we want to predict the median salary in 2048. For 2048 the x-value is x = 48

So we just need to evaluate this in the linear equation:

$y = 0.033*48 + 1.269 = 2.853$

Then the median salary in 2048 will be $2.853 million

If you want to learn more, you can read:

brainly.com/question/1189779

5 0

3 years ago