Length of side of new square is 17 inches
Step-by-step explanation:
- Step 1: Let the length of the side of the old square be x. Then length of side of new square = x + 3 and Perimeter of new square = 40 + 2x
Perimeter of a square = 4 × side
⇒ 4(x + 3) = 40 + 2x
⇒ 4x + 12 = 40 + 2x
⇒ 2x = 28
⇒ x = 14 inches
- Step 2: Find length of side of the new square
⇒ x + 3 = 17 inches
Add 7 to both sides
3x + 12 = 7x
Subtract 3x
12 = 4x
Divide by 4
x = 3
The range would only include positive numbers.
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
- (2 + 3i) + (3 - 4i)
- <u>5 - i</u>
<u>Question 2</u>
- (3 – 5i) – (–2 – i)
- 3 - 5i + 2 + i
- <u>5 - 4i</u>
<u>Question 3</u>
- (2 − 4i)(1+ 3i)
- 2 - 4i + 6i - 12i²
- <u>14 + 2i</u>
<u>Question 4</u>
- 2i(-1 + 3i)
- -2i + 6i²
- <u>-6 - 2i</u>
Answer:
Option: C is the correct answer.
C. 3 units down.
Step-by-step explanation:
We know that the graph of a cosecant function has a minimum value for a upward open curve as : 1
It could be seen from the graph.
But here the minimum value of the upward open curve in the transformed function is: -2
This means that the vertical shift is given by:
-2-1=-3
This means that there is a vertical shift of 3 units down in the parent function.
