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3 years ago

A segment is dilated by a factor of 2.5 and the resulting segment is parallel to the original segment.

Mathematics

1 answer:

meriva3 years ago

3 0

Answer:

The center of dilation is not on the original segment.

Step-by-step explanation:

The center of dilation is the only invariant point. If the original segment and the dilated segment have no points in common (are parallel), then the center of dilation cannot be on either the original segment or the dilated segment.

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How do you graph this helppp and explain

kotegsom [21]

Answer:

bottom graph

Step-by-step explanation:

f(x) = |3q-6|

because you have absolute value there are 2 possibilities

y= +(3q-6) and y= -(3q-6)

to find where the graph intersects the x-axis make y=0 because there the y coordinate is 0, so we have...

3q-6 =0 and -3q+6 =0

3q= 6 and -3q =-6

q=2 and q=2

the bottom graph has the intersection with x-axis only at 2, so is the correct one

8 0

3 years ago

Read 2 more answers

Sherry is making snack mix for a school field trip. The recipe shows the amount of each ingredient needed to make 6 bags. Comple

bazaltina [42]

Answer:

Explanatio1- To make 18 bags of snack mix, Sherry needs 4.5 cups of almonds.

As the original recipe is for 6 bags, and here Sherry wants to triple that amount. You have to multiply 1.5 x 3.

2- Sherry needs 6 cups of granola to make 12 bags of the snack mix.

If Sherry gets 6 bags using 3 cups of granola, she will get 12 by using 6 cups of granola.

3- If Sherry uses one cup of cranberries, she will need to use 2 cups of raisins.

As 1 cup of cranberries is the double of what the recipe states, Sherry should also double the amount of cups of raisins.

4- The recipe will make 2 bags of the snack mix if Sherry uses only one cup of granola.

As 1 cup of granola is a third of the amount detailed in the recipe for 6 bags, the amount of bags will also be reduced to a third. 6/3=2n:

Step-by-step explanation:

8 0

3 years ago

xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distanc

leonid [27]

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ <u>28.6 km</u>

<u />

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ <u>34.8 km</u>

4 0

3 years ago

Dean won a trip to the upcoming Winter Olympics and needs to plan which events to attend. During the first week of competition,

zlopas [31]

Answer:

6 different orders

Step-by-step explanation:

Given:

Number of events taking place = 3 (Speed skating, ice hockey and cross-country skiing)

Now, Dean plans to attend ne round from each one of them.

The questions asks us to find the different orders in which Dean can attend each event.

So, this is a question of permutations as order of events is important here.

So, number of ways to attend 1 event out of 3 events is 3.

Now, there are 2 events left. Number of ways of attending 1 event out of the remaining two events is 2 ways.

Now, only one event will be left. So, Dean will finally attend that event.

Thus, total number of different orders in which Dean can attend one round of all the 3 events is given as:

$=3\times2\times 1\\=6$

Hence, Dean can attend each of the three events in 6 different orders.

5 0

3 years ago

A parabola passes through the points (2,8), (6,2), and (8,8). what is the x-coordinate of its vertex?

Flura [38]

The x-value of the vertex of the given parabola is x = 5, so the correct option is b.

<h3>How to get the x-value of the vertex?</h3>

If we define the parabola by f(x), by looking at the table, we can read:

f(2) = 8
f(6) = 2
f(8) = 8

So, notice that:

f(2) = f(8).

Then the x-coordinate of the vertex is the midpoint between 2 and 8.

x = (2 + 8)/2 = 5

The x-value of the vertex of the given parabola is x = 5, so the correct option is b.

If you want to learn more about parabolas:

brainly.com/question/4061870

#SPJ1

5 0

2 years ago