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Alekssandra [29.7K]
3 years ago
5

What is the rule for finding the coordinates of an image reflected over the line y=-x?

Mathematics
2 answers:
sveta [45]3 years ago
5 0
The x value will change to y avlue and vice versa 

so x---> y  and y---> x

(x,y) --> (y,x)

B
abruzzese [7]3 years ago
5 0

Answer:

A. (x,y)\rightarrow (-y,-x)

Step-by-step explanation:

We are asked to find the rule for finding the coordinates of an image reflected over the line y=-x.

We know that the after reflection across the line y=-x the x- and y-coordinates of a point interchanges places and their signs are also changed.

This means that rule of reflection across the line y=-x is (x,y)\rightarrow (-y,-x), therefore, the option A is the correct choice.

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What is the length of s?​
vovangra [49]

Answer:

s = 16.97 units

Step-by-step explanation:

Since this is a right triangle, we can use trigonometry to figure out the lengths of the sides.

Look at the 45 degree angle. We can use the opposite side (12) and the hypotenuse (s) to solve for s.

Opposite and hypotenuse is sine, so we are using sine. The sine of 45 degrees is 0.70710678118. Make an equation like so:

  • 0.70710678118 = \frac{12}{s}, and we are solving for s.

Put a 1 in the denominator of sine(45 degrees) so you can cross-multiply.

  • \frac{0.70710678118}{1} =\frac{12}{s}

Cross multiply.

  • 0.70710678118s = 12

Divide both sides by sine(45 degrees).

  • s = 16.97

The length of side s is 16.97 units.

Another way to have done this problem is to use the Pythagorean theorem: a^2 + b^2 = c^2

Substitute 12 for a and b and solve for c, the hypotenuse.

  • (12)^2 + (12)^2 = c^2

Evaluate the exponents.

  • 144 + 144 = c^2

Add them together.

  • 288 = c^2

Square root 288 to solve for c.

c = 16.97, which is the same answer as you got using trigonometry.

6 0
3 years ago
HELP PLS THIS IS DUE IN 10 MINUTES
klasskru [66]

Answer:

He could buy 2 brackets

Step-by-step explanation:

42.50- 29= 13.50  and if you buy two that's nine (9.00) + plus tax does not go over budget (shirt included)

3 0
2 years ago
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We have seen how to convert specified odds from a "fair bet" into the gamblerâs belief about the likelihood of an event happenin
Brut [27]
I had the same question on my hw and I picked c \(“-)/
4 0
3 years ago
What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet?
son4ous [18]
<span>First find the central angle A in degree. Perimeter circle 2Pi*R --> 360 deg Arc A = 14.13 --> x deg (360*14.13)/2Pi*R = 5086.8/37.68 = 135 deg The pendulum rotates 135 deg in 3 sec. Then, the angular velocity is : 135/3 = 45 deg/sec.

Hope this helps!
</span>
3 0
3 years ago
Let f(x) = 6x2 + 5 and g(x) = 3x-5. Find g(f(0))
devlian [24]

Answer:

10

Step-by-step explanation:

7 0
3 years ago
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