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2 years ago

Reffect shape A in the line y=-x th 6 2 A --5-32-10 12345 2 6 M

Mathematics

1 answer:

s344n2d4d5 [400]2 years ago

7 0

The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>translation, rotation, reflection and dilation.</em>

Dilation is the increase or decrease in the size of a figure.

The rule for the reflection of shape A over the line y = -x is (x, y) ⇒ (-y, -x)

Find out more on transformation at: brainly.com/question/4289712

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the length of a rectangle is five feet less than its width. If the area of the rectangle is 84 square feet, find its dimensions

KIM [24]

Let
x---------> the length of the rectangle
y--------> the width of the rectangle

we know that
A=84 ft²
[area of rectangle]=x*y-----> 84=x*y-----> equation 1
x=y-5------> equation 2
substitute 2 in 1
84=[y-5]*y-----> 84=y²-5y---------> y²-5y-84=0

using a graph tool-----> to resolve the second order equation
see the attached figure

the solution is
y=12
x=y-5-----> x=12-5-----> x=7

the answer is
the length of the rectangle is 7 ft
the width of the rectangle is 12 ft

6 0

3 years ago

What is the period of the function f(x)=sin(x/2)

Liula [17]

The period of the function is 2pi

3 0

3 years ago

Can someone help please.

snow_lady [41]

<span>By the Pythagorean theorem
AB = </span>√(12²+5²) = √169 = 13 units

$\frac{AD}{AB} = \frac{BD}{BC} \ \to \ BC= \frac{AB*BD}{AD}= \frac{13*12}{5}= 31.2 \ units$

8 0

3 years ago

PLEASE HELP! 13 POINTS! A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and costs 38 d

il63 [147K]

Answer:

X = 9 months

Step-by-step explanation:

To solve the number of months when the cost of each payment

are the same, you should equate the two cost. First establish the equations

Let A be the cost of first payment method

B is the cost of the second payment method

X is the number of months

A = 38x + 15

B = 31x + 78

38x + 15 = 31x + 78

7x = 63

X = 9 months

5 0

3 years ago

What are four ways to represent functions?

telo118 [61]

A function can be represented verbally. For example, the circumference of a square is four times one of its sides.
A function can be represented algebraically. For example, 3x+6 3 x + 6 .
A function can be represented numerically.
A function can be represented graphically.

6 0

3 years ago

Read 2 more answers