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2 years ago

Explain why you cannot factor the trinomial x(to the power of 2)−12x+6

Mathematics

2 answers:

vazorg [7]2 years ago

6 0

The real question is 12(2)+6 and you will have to do 12x2 first (which is 24) than 24 +6 and than you’ll get 30

Vladimir [108]2 years ago

4 0

Answer:

See below

Step-by-step explanation:

You cannot find two whole number integers that give a sum of -12 and a product of 6.

-1 + -11 = -12, but (-1)(-11) = 11, which isn't 6

-2 + -10 = -12, but (-2)(-10) = 20, which isn't 6

...and so on...

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Given the set of vertices, determine whether parallelogram ABCD is a rhombus, rectangle or square. List all that apply. A(7,-4),

Sloan [31]

Given:

Vertices of a parallelogram ABCD are A(7,-4), B(-1,-4), C(-1,-12), D(7, -12).

To find:

Whether the parallelogram ABCD is a rhombus, rectangle or square.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(-4-(-4))^2+(-1-7)^2}$

$AB=\sqrt{(-4+4)^2+(-8)^2}$

$AB=\sqrt{0+64}$

$AB=8$

Similarly,

$BC=\sqrt{(-1-(-1))^2+(12-(-4))^2}=8$

$CD=\sqrt{(7-(-1))^2+(-12-(-12))^2}=8$

$AD=\sqrt{(7-7)^2+(-12-(-4))^2}=8$

All sides of parallelogram are equal.

$AC=\sqrt{(-1-7)^2+(-12-(-4))^2}=8\sqrt{2}$

$BD=\sqrt{(7-(-1))^2+(-12-(-4))^2}=8\sqrt{2}$

Both diagonals are equal.

Since, all sides are equal and both diagonals are equal, therefore, the parallelogram ABCD is a square.

We know that, a square is special case of rectangles and rhombus.

So, parallelogram ABCD is a rhombus, rectangle or square. Therefore, the correct option is c.

7 0

3 years ago

PLZ HELP I NEEDD THE ANSWER ASAP

Contact [7]

B=10
the base is 10cm
yeah

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3 years ago

Jessica is selling books during the summer to earn money for college. She earns a commission on each sale but has to pay for her

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The slope of her function represents the amount she earns per door that she knocks on.

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3 years ago

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An exterior angle of a triangle is 140 degrees. If the non-adjacent angles are congruent, then what are the measures of all of t

trasher [3.6K]

The measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

<em><u>Solution:</u></em>

Given that exterior angle of triangle is 140 degrees

The exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles

Given that adjacent angles are congruent

Let one of the non adjacent interior angles be "x"

x + x = 140

2x = 140

x = 70

So the two interior angles are 70 degrees and 70 degrees

Let us find the third interior angle

The angle sum property of a triangle states that the interior angles of a triangle always add up to 180 degrees

70 + 70 + third angle = 180

third angle = 180 - 70 - 70

third angle = 180 - 140

third angle = 40 degrees

Thus the measures of all of the interior angles of the triangle are 70 degrees, 70 degrees and 40 degrees

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3 years ago

You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two e

jarptica [38.1K]

Let's assume that the original length of the piece of board is L.

Now you cut two pieces that are 3.4 ft long, so the remaining piece of board is:

L - 3.4ft - 3.4ft = L - 6.8ft long.

Now we know that the remaining must be 2.35 times longer than the pieces of 3.4 ft, then we have the equation:

( L - 6.8ft) = 2.35×3.4ft

solving that for L we get:

L = 14.79ft

Rounding to the nearest tenth, we get:

L = 14.8ft

You should buy a piece of board that is 14.8 feet long.

If you want to learn more, you can read:

brainly.com/question/22293035

5 0

3 years ago