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elena-s [515]
2 years ago
7

On a coordinate plane, a straight line and a parallelogram are shown. The straight line has a negative slope and has a formula o

f y = negative x. The parallelogram has points G (negative 2, negative 3), F (1, negative 3), E (negative 1, negative 5), and H (2, negative 5).
What are the coordinates of the image of vertex F after a reflection across the line
y = –x?

A. (–1, –3)
B. (3, –1)
C. (1, 3)
D. (–3, 1)

Mathematics
1 answer:
suter [353]2 years ago
7 0

Answer:

  B.  (3, –1)

Step-by-step explanation:

Reflection in the line y=-x is described by the transformation ...

  (x, y) ⇒ (-y, -x)

Then the point of interest becomes ...

  F(1, -3) ⇒ F'(3, -1) . . . . matches choice B

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alexgriva [62]
Do 9:00 A.M. minus 26 minutes and your awnser is 8:34 A.M.
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Willis bought a gallon of paint. He painted a wall that is 9 feet high and 10 feet wide. Then
ankoles [38]
The andwer would be 136 beause you would have to multiply 9 and 10 to get its area in square feet, then you would have to add the answer to that problem(90) to 46 square feet, and your answer would be 136
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2 years ago
PLEASE HELP ME WITH THIS!!!!!​
nadezda [96]

For the given experiment of spinning a spinner and drawing a card, we will see that:

  • A) Yes, the events are independent.
  • B) P(3 and A) = 1/16
  • C) P(5 and C) = 0
  • D) P(4) = 1/4
  •     P(B or C) = 1/2
  • E) P(3 and not D) = 3/16

<h3>What are independent events?</h3>

We say that two events are independent if the outcome of one does not affect the outcome of the other.

In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.

<h3>How to get the probabilities?</h3>

B) First we want to get the probability of getting 3 and A.

The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:

p = 1/4

Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:

q = 2/8 = 1/4

The joint probability is the product of the two individual probabilities, we have:

P(3 and A) = p*q = 1/4*1/4 = 1/16

C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.

D) P(4) is the probability of drawing the card with the number 4, this is:

p = 1/4

P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:

q = (2 + 2)/8 = 1/2

E) P(1 and not D) is equal to: P(1 and A or B or C).

P(1) is 1/4.

P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)

Then the joint probability is:

P(1 and not D) = (1/4)*(6/8) = 3/16

If you want to learn more about probability, you can read:

brainly.com/question/251701

8 0
2 years ago
G(x)=(cosθsinθ)^4 what's the differential
natulia [17]

Answer:

sin²2θ. (cos θ sin θ). cos 2θ

Step-by-step explanation:

finding g'(x)

g'(x)

  • (x^n)' = nx^(n -1)

= 4 (cosθsinθ)³ . { cosθ. (sinθ)' + sinθ. (cosθ)' }

  • (cosθ)' = - sinθ
  • (sinθ)' = cosθ

= 4 (cosθsinθ)³ { cosθ. cos θ + sinθ.(-sin θ)}

= 4 (cosθsinθ)³{ cos²θ - sin²θ}

  • cos²θ - sin²θ = cos 2θ
  • 2sinθ cosθ = sin 2θ

= (4 cosθ sinθ)². (cosθ sinθ). { cos²θ - sin²θ}

= <u>sin²2θ. (cos θ sin θ). cos 2θ</u>

4 0
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How to solve 3x-4(8x-6)=20
11Alexandr11 [23.1K]
3x -4(8x - 6) = 20

3x -32x + 24 = 20

-29x = -4

29x = 4

x = \frac{29}{4} = 7.25
6 0
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