All categories

2 years ago

26. Figure B is the image of Figure A.

Mathematics

1 answer:

sweet [91]2 years ago

5 0

The scale factor of dilation is $\LARGE \frac{1}{4}$ .

<h3>What is scale factor?</h3>

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B = $\frac{1}{2} * b *h$

= 0.5 x 2 x 3

= 3 units

Area of triangle A = $\frac{1}{2} * b *h$

= 0.5 x 4 x 6

= 12 units

Scale factor = $\frac{Area of \; triangle B}{Area of\; triangle A}$

= $\frac{3}{12}$

= $\frac{1}{4}$

Hence, the scale factor of dilation is $\LARGE \frac{1}{4}$ .

Learn more about scale factor here:

brainly.com/question/22312172

#SPJ1

You might be interested in

olchik [2.2K]

The correct answer is: [B]: " 25 a²⁵ b²⁵ " .
_________________________________________________________
Explanation:
_________________________________________________________
Given the expression:
_________________________________________________________
→ " (−5a⁵b⁵)² (a³b³)⁵ " ; Simplify.
_________________________________________________________
Let us being by examining:
______________________________________
→ "(−5a⁵b⁵)² " .

→ "(−5a⁵b⁵)² = (-5)² * (a⁵)² * (b⁵)² = (-5)(-5) * a⁽⁵ˣ²⁾ * b⁽⁵ˣ²⁾ = 25a⁽¹⁰⁾b⁽¹⁰⁾ ;

{Note the following properties of exponents:
(xy)ⁿ = xⁿ * yⁿ ;

(xᵃ)ᵇ = x⁽ᵃ * ᵇ) ;

(xᵃ) * (xᵇ) = x⁽ᵃ ⁺ ᵇ⁾ .}.
______________________________________

Then, we examine:
______________________________________
→ "(a³b³)⁵ " .

→ "(a³b³)⁵ = a⁽³ˣ⁵⁾b⁽³ˣ⁵⁾ = a⁽¹⁵⁾b⁽¹⁵⁾ .
______________________________________

So: " (−5a⁵b⁵)² (a³b³)⁵ = (-5)a⁽¹⁰⁾b⁽¹⁰⁾ * a⁽¹⁵⁾b⁽¹⁵⁾ " ;
________________________________________
Now, we simplify:

→ " 25a⁽¹⁰⁾b⁽¹⁰⁾ * a⁽¹⁵⁾b⁽¹⁵⁾ " ;

→ " 25a⁽¹⁰⁾b⁽¹⁰⁾ * a⁽¹⁵⁾b⁽¹⁵⁾ ;

= 25a⁽¹⁰⁾ a⁽¹⁵⁾b⁽¹⁰⁾ b⁽¹⁵⁾ ;

= 25a⁽¹⁰ ⁺¹⁵⁾ b⁽¹⁰⁺¹⁵⁾ ;

= 25a⁽²⁵⁾ b⁽²⁵⁾ ;
_______________________________________________
→ which is: Answer choice: [B]: " 25 a²⁵ b²⁵ " .
______________________________________________

5 0

3 years ago

Help plz points 10 need help

Jobisdone [24]

Answer:

208

Step-by-step explanation:

6 0

2 years ago

Use the graph of the quadratic, g(x) to answer each question

forsale [732]

Answer:

-5

Step-by-step explanation:

from graph

6 0

2 years ago

This is stupid I know lol but I'm having a hard time remembering the difference between a histogram and a bar graph. Can someone

Y_Kistochka [10]

In Bar Graphs;

- Bars have equal space

- One the y-axis, we have numbers & on the x-axis, we have data which can be anything.

In Histograms;

- Bars are fixed

- On the y-axis, we have numbers & and on the x-axis, we have data which in continuous & will always be number.

An easy way you can remember the difference is looking at the spaces of the bars.

A bar graph has gaps

A histogram has no gaps.

6 0

2 years ago

Joshua randomly selects a vehicle to test drive. There are 12 cars, 9 trucks, and 4 vans on the lot. What is the probability Jos

eimsori [14]

Step-by-step explanation:

The number of vehicles is 25 and the no. of truck is 9 so the probability is 9/25

4 0

3 years ago