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Sophie [7]
3 years ago
11

Terrance claims that for the input coordinates (x, y), a rotation of 180° clockwise about the origin, followed by a reflection o

ver the line y = x, results in output coordinates of (x, y), since the two transformations cancel themselves out.
Decide if Terrance is correct. If he is correct, enter (x, y) below. If he is not correct, enter the correct output coordinates for the input coordinates (x, y) after a rotation of 180° clockwise about the origin and a reflection over the line y = x.
Mathematics
1 answer:
vodka [1.7K]3 years ago
8 0

Answer:

Terrance is incorect.

Correct output coordinates (-y,-x)

Step-by-step explanation:

Let (x,y) be the input coordinates.

First translation is a rotation of 180° clockwise about the origin. This translation has a rule

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

Second translation is a reflection over the line y = x. The general rule for the reflection across the line y=x has the rule

(a,b)\rightarrow (b,a)

When a sequence of two translations are applied to the initial input coordinates, then

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

As you can see Terrance made a mistake and these two transformations do not cancel themselves out.

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A Blimp is 400 feet in the air. There is an angle of depression of 40 degrees to a football stadium. How far is the Blimp from t
VMariaS [17]

Answer:

Step-by-step explanation:

The diagram of the stadium and the blimp is shown in the attached photo. A right angle triangle, ABC is formed. Angle A is alternate to the angle of depression. This mean that they are equal. So angle A =40 degrees.

The distance of the the Blimp from the stadium is x feet which is the hypotenuse of the triangle.

Applying trigonometric ratio,

Sin 40 = 400/x

xsin40 = 400

x = 400/sin40 = 400 / 0.6428

x = 622.3 feet

5 0
3 years ago
Please help!
Lubov Fominskaja [6]

Answer:

The answer is d (-21/2 , 2)

Step-by-step explanation:

That's where the lines meet up

8 0
3 years ago
You can click and drag an icon on a computer screen. Is this an example of a translation? Explain
kherson [118]
I'm pretty sure yes because a translation is just moving something in another direction and not rotating
3 0
4 years ago
Look at Arnold's attempt to solve the equation for b:
Tasya [4]
His mistake was in multiplying the 3 with the 12. He should have divided it from the 12 because that would have gotten rid of the 3 with the variable. It would also lead to the correct answer, which is b=4
4 0
3 years ago
Nojo is 5 years older then jacob . the product of their ages is 84 . now old is noj
mixer [17]
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.

n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.

n (n - 5) = 84
n^2 - 5n = 84

Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.

<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84

The answer is C = 12
5 0
3 years ago
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