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Likurg_2 [28]
3 years ago
9

Which transformation represents a reflection over the y = x line?

Mathematics
1 answer:
dmitriy555 [2]3 years ago
4 0

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the line y = x

a point (x, y ) → (y, x )

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Given the parent function f(x)=x^2 describe the graph of y=(0.2x)^2
Yanka [14]
We have the following function:
 f (x) = x ^ 2
 We have the following transformation:
 Expansions and horizontal compressions
 The graph of y = f (bx):
 If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b. 
 Applying the transformation:
 y = (0.2x) ^ 2
 The factor is:
 1 / b = 1 / 0.2 = 5
 Answer:
 
b. expanded horizontally by a factor of 5
8 0
3 years ago
A bicycle wheel with the diameter 70cm is making 25 revolutions while travelling. Find the distance covered by the bicycle
Diano4ka-milaya [45]

Answer: 5500cm.

Step-by-step explanation:  

A revolution  corresponds to circumference of the bicycle wheel.

The radius of the circle = 70/2 since two radii makes a diameter.

Therefore r = 35cm

Circumference of a circle =  2πr or πd where π = 3.142 or 22/7

      We now have              =  2 x 22/7 x 35

Therefore 0ne revolution   = 220cm.

Therefore, the distance traveled by making 25 revolution

                                            = 220 x 25

                                            = 22000/4

                                            = 5500cm.

                                     

4 0
3 years ago
1. 40° <br> 2. 65°<br> 3.75°<br> 4.90°
nataly862011 [7]

Answer:

option 3.75°

Step-by-step explanation:

we know that

If two triangles are similar, then the corresponding angles are congruent

so

In this problem

The corresponding angles are

m∠A and m∠D, m∠B and m∠E, m∠C and m∠F

so

m∠A=m∠D

m∠B=m∠E

m∠C=m∠F

therefore

m∠F=75°

4 0
3 years ago
5.<br> A number is squared, then multiplied by 6. The result is 54. What was the number?<br> Answer:
madam [21]

Answer:

± 3

Step-by-step explanation:

let n be the number then the number squared is n² , so

6n² = 54 ( divide both sides by 6 )

n² = 9 ( take the square root of both sides )

n = ± \sqrt{9} = ± 3

That is the number is 3 or - 3

8 0
3 years ago
Please help, I’m really confused
Alex17521 [72]

<u>Given</u>:

The given triangle is a right angled triangle.

The length of the hypotenuse is 17 units.

One of the legs of the triangle measure x units.

The one of the angles of the right triangle is 60°

We need to determine the value of x.

<u>Value of x:</u>

The value of x can be determined using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting \theta=60^{\circ}, opp=x and hyp=17 in the above formula, we get;

sin \ 60^{\circ}=\frac{x}{17}

Multiplying both sides of the equation by 17, we get;

sin \ 60^{\circ} \times 17=x

Simplifying, we get;

0.866 \times 17=x

Multiplying, we get;

14.722=x

Rounding off to the nearest tenth, we get;

14.7=x

Thus, the value of x is 14.7

5 0
3 years ago
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