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1 year ago

AABC is reflected across the x-axis and then dilated by a factor of 2 using the

Mathematics

1 answer:

Hitman42 [59]1 year ago

7 0

The transformation of A is A' = (8, -3)

<h3>How to determine the transformation?</h3>

From the graph, we have:

A = (3,1)

The scale factor and the center of dilation are given as:

k = 2

(a,b) = (-2,1)

The rule of reflection across the axis is:

(x,y) ⇒ (x,-y)

So, we have:

A' = (3,-1)

The rule of dilation is represented as:

(x,y) ⇒ (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)

Evaluate

A' = (8, -3)

Hence, the transformation of A is A' = (8, -3)

You might be interested in

What is the inverse of the function f(x) = 3x – 2?<br> f-1(x) =

Eddi Din [679]

Answer:

$\frac{x + 2}{3}$

Step-by-step explanation:

Replace y with f(x).

$y = 3x - 2$

Swap x and y and solve for y

$x = 3y - 2$

$x + 2 = 3y$

$\frac{x + 2}{3} = y$

7 0

2 years ago

Determine whether the point is on the graph of the equation 2x+3y=8.<br> (1,2)

geniusboy [140]

The point $(1,2)$ is on the graph of the equation.

Explanation:

The equation is $2x+3y=8$

We need to determine the point $(1,2)$ is on the graph.

To determine the point $(1,2)$ is on the graph, we need to substitute the point in the equation and find whether the LHS is equal to RHS.

Thus, substituting the point $(1,2)$ in the equation $2x+3y=8$ , we get,

$2(1)+3(2)=8$

Multiplying the terms within the bracket, we have,

$2+6=8$

Adding the LHS, we have,

$8=8$

Thus, both sides of the equation are equal.

Hence, the point $(1,2)$ is on the graph of the equation $2x+3y=8$

3 0

2 years ago

VACATION RENTAL Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a

Pachacha [2.7K]

The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.

<h3>What are permutation and combination?</h3>

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.

The number of outcomes is available in Boulder will be

→ 2 x 2

→ 4

The number of outcomes is available in Sarasota will be

→ 3 x 2

→ 6

The number of outcomes is available in Boulder and Sarasota will be

→ 4 + 6

→ 10

More about the permutation and the combination link is given below.

brainly.com/question/11732255

#SPJ1

4 0

1 year ago

What is the measure of angle CAD?

frez [133]

<h3>Answer: 128 degrees</h3>

Work Shown:

(angle CAD) + (angle CAB) = 180

angle CAD = 180 - (angle CAB)

angle CAD = 180 - 52

angle CAD = 128 degrees

7 0

3 years ago

Read 2 more answers

Given:

jekas [21]

Answer:

we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

Step-by-step explanation:

We know that the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p".

In other words, it is symbolically represented as:

' ~q ~p is the contrapositive of p q '

For example, the contrapositive of "If it is a rainy day, then they suspend the match" is "If they do not suspend the match, then it won't be a rainy day."

Given

p: 2x -5=5

q: 4x-6=14

As the contrapositive of a conditional statement of the form "If p then q" is termed as "If ~q then ~p

Thus, we conclude that:

If 4x - 6≠4, then 2x–5≠5 is the contrapositive of a conditional statement if 2x -5=5, then 4x-6=14.

4 0

2 years ago