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3 years ago

Quadrilateral

Mathematics

2 answers:

sattari [20]3 years ago

7 0

Answer:

See explanation

Step-by-step explanation:

From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.

The question is incomplete; so, I will give a general explanation.

The rule for 90 degrees rotation about the origin is:

$(x,y) \to (-y,x)$

For instance:

A point (4,6) will become (-6,4) after rotation.

lesya692 [45]3 years ago

5 0

(x,y)>>>>>>>>(-y,-x) is correct

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Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the

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Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.

(1 - 0.12) y (1 + 0.06)

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3 years ago

Jammal makes a cut through a block of florist's foam, as shown. What are the dimensions of the exposed cross section?

Ahat [919]

Answer:

C. 3 in x 6 in

Step-by-step explanation:

Jammal cuts the block in a straight line parallel to one side... so the section revealed when he finishes his cut will be identical as the parallel side to which the cut is done.

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3 years ago

PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?

Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

Explanation

PQ is rotated 180 degrees clockwise about P. It means P and P' are the same points.

According to the graph, the coordinates of P is (-7, -2) and Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then P or P' will be the mid-point of Q and Q'

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: $(\frac{x+2}{2},\frac{y+4}{2})$ , which is actually at (-7, -2)

Thus.....

$\frac{x+2}{2}=-7\\ \\ x+2=-14\\ \\ x= -16\\ \\ and\\ \\ \frac{y+4}{2}= -2\\ \\ y+4= -4\\ \\ y= -8$

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)

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3 years ago

Is 5 in the solution of x+3>8?

Ivan

Answer: D) No; If x is 5, the expression on the left simplifies to 8, making the inequality false.

In other words, if x = 5, then x+3 becomes 5+3 which ultimately becomes 8, but this is not greater than 8 on the right side.

Your steps could look like this

x+3 > 8

5+3 > 8 ... replace x with 5

8 > 8 ... this is a false inequality

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3 years ago