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3 years ago

Factor each expression: 2x + 12

Mathematics

1 answer:

mr Goodwill [35]3 years ago

3 0

$2x + 12 \\ \\ GCF = 2 \\ \\ 2( \frac{2x}{2} + \frac{12}{2} ) \\ \\ 2(x + 6) \\ \\$

The final result is: 2(x + 6).

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3. Rectangle ABCD is shown on the coordinate grid below.

VMariaS [17]

Answer:

A. 8 units

Step-by-step explanation:

Coordinates of A = (-2, -2)

Coordinates of C = (5, 2)

Use distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ to calculate the length of diagonal $\overline{AC}$ .

Let,

$A(-2, -2) = (x_1, y_1)$

$C(5, 2) = (x_2, y_2)$

$d = \sqrt{(5 -(-2))^2 + (2 -(-2))^2}$

$d = \sqrt{(7)^2 + (4)^2}$

$d = \sqrt{49 + 16} = \sqrt{65}$

$d = 8.1$ (nearest tenth)

Therefore, the closest to the length of diagonal $\overline{AC} = 8 units$

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3 years ago

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3 years ago

What is 300 as a decimal

Rudik [331]

Answer:

300.00

Step-by-step explanation:

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Sholpan [36]

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3 years ago

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Consider quadrilateral BCEF inscribed in circle A. Diagonals EB and CF intersect at point D. Select all the statements that are

Elena L [17]

Answer:

$m\angle ECB+m\angle EFB=180$

$m\angle CDB\cong m\angle EDF$

$m\angle CDB+m\angle DCB+m\angle CBD=180 \degree$

Step-by-step explanation:

From the diagram, quadrilateral BCEF is a cyclic quadrilateral.

Opposite angles if a cyclic quadrilateral sum up to 180°

$m\angle ECB+m\angle EFB=180$

The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.

$m\angle CDB\cong m\angle EDF$

Also sum of angles in triangle CBD is 180°.

$m\angle CDB+m\angle DCB+m\angle CBD=180 \degree$

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3 years ago