To answer this question, you need to know that a scale factor is the relationship between one dimension of the shape.
Because the information given to us is a two-dimensional measurement, you will need to consider that when getting the answer.
The ratios of the areas of the triangles is 3/5 x 3/5 or 9/25.
To determine the area of the larger triangle, you will solve the following equation using the information you know. x is the area of the larger triangle.
9/25x = 576; solve for x by dividing both sides by 9/25
x = 1600 square inches
The area of the larger triangle is 1600 square inches.
The graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
<h3>What is transformation of a function?</h3>
Transformation of a function is shifting the function from its original place in the graph.
Types of transformation-
- Horizontal shift- Let the parent function is f(x). Thus by replacing parent function with f(x-b) shifts the graph b units right and by replacing parent function with f(x+b) shifts the graph b units left.
- Vertical shift- Let the parent function is f(x). Thus by replacing parent function with f(x)-c shifts the graph c units down and by replacing parent function with f(x)+c shifts the graph c units up.
The given function is,

This function is changed to the function,

Here the 3 units is substrate in the function. Thus, it is shiftet 3 units right. The number 2 is multiplied in the function which vertically stretched the graph by a factor of 2.
Thus, the graph is vertically stretched by a factor of 2 and translated 3 units right when it is transformed. Option A is correct.
Learn more about the transformation of a function here;
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Answer:
Side-Side-Side (SSS) Congruence Property
Step-by-step explanation:
Congruence just means that two things are of the same size. For instance, if you have two congruent side lengths, they are the same length. In this picture, you can see that both triangles have a side with one dash and a side with two dashes. In geometry, to show that two lines are congruent you give them the same number of dashes, and therefore you know for sure that those two pairs of sides are congruent. Finally, the triangles share a side length, so you know that that side length is equal for them. Therefore, the appropriate congruence property here is SSS, since you know that three pairs of sides are congruent.
N(3)-8=16
add 8 to both sides
3n=24
Divide each side by three
n=8
Answer:

Step-by-step explanation:

Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign

Collect like terms

Subtract 4.5 from 18

Divide both sides by 4.5

Calculate

Hope I helped!
Best regards! :D