Step-by-step explanation:
Hi,
You will have to move the pre-image 15 units to the right. You're also going to have to flip the image horizontally (kind of like flipping it across the x-axis) and after that, you're going to have to flip it so that it's facing the left side.
1) 15 units right
2) Flip-up
3) Flip to the left
Hope this helps :)
Answer:
Statement 3
Step-by-step explanation:
<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.
Suppose n = 25 (25 is positive integer), then
Since 5 is rational number, this statement is false.
<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.
Suppose n = 8 (8 is positive integer), then
Since is irrational number, this statement is false.
<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.
If n is a positive integer and square root of n is rational, then n is a perfect square.
If n is a positive integer and n is a perfect square, then square root of n is a rational number.
This statement is true.
Answer:
48.5cm²
Step-by-step explanation:
The figure is can be divided into 3 parts:
The square, The rectangle and The triangle
We will be finding the area of each shape.
The square: Area = length * length
Length of square = 3. Area = 3 cm * 3 cm = 9 cm²
The rectangle: Area = length * breadth
Length = 8 cm; Breadth = 4 cm. Area = 8 cm * 4 cm = 32 cm²
The triangle: Area = 0.5 * height * base
Height = 5 cm; Base = 3 cm. Area = 0.5 * 5 * 3 = 7.5 cm²
Base is the shorter side of the triangle that is not the diagonal side (hypotenuse). It is gotten by subtracting the given length of the bottom part of the figure which is 4 cm from the top part of the figure which is 7 cm and it is also the other side of the square that is not given.
Height is the longer side of the triangle that is not the hypotenuse.
It is gotten by subtracting the given length of the right side which is 3 cm from the given length of the left side of the figure which is 8 cm.
Base and height can be used interchangeably.
Adding all the areas together: 9 + 32 + 7.5 = 48.5 cm²
The answer is 8, 9, and 10.