Answer:
Step-by-step explanation:
The side length of a square is represented by the expression 2x + 5.
The area of a square is given as:
where a = length of side of the square
The area of the square is therefore:
The perimeter of a square is given as:
The perimeter of the square is therefore:
The difference between the area of the square and the perimeter of the square is:
The expression that represents the difference between the area and the perimeter of the square is:
Answer:
9 centimeters
Step-by-step explanation:
Let the width be represented by l - 5, where l is the length.
Use the area formula, A = lw, and plug in l - 5 as w, and 36 as the area. Then, simplify and factor
A = lw
36 = l(l - 5)
36 = l² - 5l
0 = l² - 5l - 36
Factor:
(l - 9)(l + 4)
Set equal to zero and solve for both solutions:
(l - 9)(l + 4) = 0
l - 9 = 0
l = 9
l + 4 = 0
l = -4
The length cannot be negative, so the answer has to be 9.
The length is 9 centimeters
Which describes the effect of the transformations on the graph of ƒ(x) = x2 when changed to ƒ(x) = 3(x + 2)2 − 4?
A) stretched vertically, shifted left 2 units, and shifted down 4 units
B) stretched vertically, shifted right 2 units, and shifted up 4 units
C) compressed vertically, shifted left 2 units, and shifted down 4 units
Eliminate
D) compressed vertically, shifted right 2 units, and shifted up 4 units
Answer:
See below
Step-by-step explanation:
<u>The sequence given</u>
<u>We see the pattern: triple the previous term plus 1</u>
- 2) 19 = 6*3 + 1
- 3) 58 = 19*3 + 1
- 4) 175 = 58*3 + 1
<u>Next two terms</u>
- 5) 175*3 + 1 = 526
- 6) 526*3 + 1 = 1579
<u>Following two terms</u>
- 7) 1579*3 + 1 = 4738
- 8) 4738*3 + 1 = 14215
Answer:
1=n
Step-by-step explanation:
Step 1- Distribute into the parenthesis.
7(3)+5(3)n= 6n+1(6)+4(6)n
Step 2- Multiply
21+15n= 6n+6+24n
Step 3- Add common variables to simplify.
21+15n= (24n+6n)+6
21+15n= 30n+6
Step 4- Subtract the smallest variable to both sides.
21+15n= 30n+6
-15n -15n
21= 15n+6
Step 5- Subtract 6 to both sides.
21= 15n+6
-6 -6
15= 15n
Step 6- Divide both sides by 15.
<u>15</u>= <u>15n</u>
15 15
1=n
