Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
Answer: No
Step-by-step explanation:
A variable is always denoted with a symbol (commonly x), and a variable means that it can change based on what you plug into the symbol
Constants must always stay the same, so variables can't be constants and constants can't be variables
The Answer Is 60
2.5 x 8 The Number Of Sides On That Shape Was 8
2.5 x 8 = 20
20 times the radius 3
20 x 3 = 60
60cm^2
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Yes, because a rational number is any number that can be expressed as a fraction a/b where a/b are both integers, but cannot be zero.
Answer:
The answer to your question is below
Step-by-step explanation:
A) f(x) = x² + 4x + 1
Find the vertex
y = x² + 4x + 1
-Subtract 1 in both sides
y - 1 = x² + 4x
-Complete the perfect trinomial square in the right side
y - 1 + (2)² = x² + 4x + (2)²
-Simplify
y - 1 + 4 = (x + 2)²
y + 3 = (x + 2)²
-Find the vertex
V = (-2, -3)
B)
f(x) = x²
g(x) = (x - 4)² - 2 See the picture below
Shifted right 4 units
Shifted down 2 units