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2 years ago

Which of the following equations is equivalent to -2(2 − 2x) = 4 − 8(1 − x) ?

Mathematics

2 answers:

Strike441 [17]2 years ago

8 0

Answer:

0 = 4x

Step-by-step explanation:

-2(2 - 2x) = 4 - 8(1 - x)

-4 + 4x = 4 - 8 + 8x

-4 + 4x = -4 + 8x

-4 + 4 = 8x - 4x

0 = 4x

Sauron [17]2 years ago

3 0

Answer:

0=4x

Step-by-step explanation:

You can read this problem as simplify -2(2-2x)=4-8(1-x), because being equivalent to something can be started with simplification.

So now, on to the simplification now:

-2(2-2x)=4-8(1-x)

Step 1: Open Parantheses -4+4x=4-8+8x

(Remember, two negatives equal a postitive. That's why you get 4x and 8x, not -4x nor -8x.)

Step two: Tidy (Put x's on one side, others on the other.) 4x-8x=4-8+4

(Remember, when you move a number/variable to one side, the negative/positive sign becomes the opposite.)

Step three: Solve -4x=0

Now, be get -4x=0. But then again, if -4x=0, then 4x=0, considering x will be zero.

I hope you liked this explanation! If you have more problems, I'm always free to help.

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Advocard [28]

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2 years ago

The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that

Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

$diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft$

which is approximately 6.708 feet

6 0

2 years ago

Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph

Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

$y=-\frac{7}{4}x+4$

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

$y_1=mx+b$

And the second one, that is perpedicular to the one above:

$y_2=nx+c$

The slope of the second one is the negative inverse of the first one:

$n=-\frac{1}{m}$

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

$\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}$

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line: