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3 years ago

Quadrilateral ABCD is rotated 90 dockwise and the result is quadrilateral PQRS.

Mathematics

1 answer:

aleksklad [387]3 years ago

4 0

Side RS is congruent to side AB

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Felix surrounds a 12 in. by 8 in. photo with a frame that is x inches wide. which quadratic function represents the combined are

Montano1993 [528]

Answer:

Step-by-step explanation:

Total dimensions = (12+2x) inches by (8+2x) inches

A = (12+2x)(8+2x) = 4x² + 40x + 96

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3 years ago

What’s the value of X

lawyer [7]

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3 years ago

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The regular price of a watch is $32.25. During a sale, the watch was marked 16% off. What was the price of the watch during the

pochemuha

Answer:

$27.09

Step-by-step explanation:

32.25(84) = 27.09

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3 years ago

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What is 6x – 8 = 4 written as a system? y = 6x – 8 y = –4 y = 6x – 8 y = 4 y = –6x + 8 y = 4

mestny [16]

6x – 8 = 4 written as a system. Hence second option is correct

<u>Solution:</u>

Given, equation is 6x – 8 = 4.

We have to find the equivalent system from given options.

First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2

Now, let us solve one by one option ,so that when we get above solution, that is correct option.

y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4

⇒ 6x = 4 ⇒ x ≠ 2, wrong option

y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.

y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option

hence, second option is correct.

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4 years ago

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Point B has coordinates (1,2). The x-coordinate of point A is negative 8. The distance between point A and point B is 15 uni

olchik [2.2K]

Answer:

The point A will be (-8,14) or (-8,-10).

Step-by-step explanation:

Point B has coordinates (1,2) and the x-coordinate of point A is - 8.

Let us assume that the coordinates of point A are (-8,k).

Now, given that the point A is 15 units apart from point B.

Therefore, from the distance formula, we can write that

$\sqrt{(1 - ( -8))^{2} + (2 - k)^{2}} = 15$

Now,squaring both sides, we get

$(1 - ( -8))^{2} + (2 - k)^{2} = 225$

⇒ $(2 - k)^{2} = 225 - 9^{2} = 144$

⇒ 2 - k = ± 12

⇒ k = 14 or -10.

Therefore, the point A will be (-8,14) or (-8,-10). (Answer)

We know that the distance between two points on the coordinate plane ( $x_{1}, y_{1}$ ) and ( $x_{2}, y_{2}$ ) is given by

$\sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$ .

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3 years ago