Answer:
k = –10
Step-by-step explanation:
From the question given above, the following data were obtained:
f(x) = x³ – 6x² – 11x + k
Factor => x + 2
Value of K =?
Next, we shall obtained the value of x from x + 2. This is illustrated below:
x + 2 = 0
Collect like terms
x = 0 – 2
x = –2
Finally, we shall determine the value of k as illustrated below:
f(x) = x³ – 6x² – 11x + k
x = –2
Thus,
f(–2) = 0
x³ – 6x² – 11x + k = 0
(–2)³ – (–2)² – 11(–2) + k = 0
–8 – (4) + 22 + K = 0
–8 – 4 + 22 + K = 0
10 + k = 0
Collect like terms
k = 0 – 10
k = –10
Thus, the value of k is –10
3 over 2 and 3 over 4 (1.5 and .75)
The Greatest Common factor(GCF) of -2x^2-4x-6 is -2(x+1)(x-3)
<h3>What is Greatest Common Factor?</h3>
The greatest common factor (GCF) is the largest factor two or more numbers have in common
From the question,
-2x^2-4x-6
By collecting like terms
-2(x^2-2x-3)
By factoring x^2-2x-3
-2(x^2-3x+1x-3)
Collecting like terms
-2(x^2-3x)+(x-3)
-2(x(x-3)+1(x-3))
-2(x+1)(x-3)
hence -2(x+1)(x-3) is the Greatest Common factor of -2x^2-4x-6 is
Learn more about Greatest Common factor on:brainly.com/question/219464
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The total area is 1289.41 units².
The total perimeter is 281.32 units.
<h3>What is the total area and perimeter?</h3>
The first step is to determine the side lengths of the other squares:
- Length of the second square = 2/3 x 27 = 18
- Length of the third square = 2/3 x18 = 12
- Length of the fourth square = 2/3 x 12 = 8
- Length of the fifth square = 2/3 x 8 = 5.33
Area of a square = length²
Perimeter of a square = 4 x length
- Area of the first square = 27² = 729
- Area of the second square = 18² = 324
- Area of the first square = 12² = 144
- Area of the first square = 8² = 64
- Area of the first square = 5.33² = 28.41
Total area = sum of the areas of the 5 squares = 1289.41 units²
- Perimeter of the first square = 4 x 27 = 108 units
- Perimeter of the second square = 4 x 18 = 72
- Perimeter of the third square = 4 x 12 = 48
- Perimeter of the fourth square = 4 x 8 = 32
- Perimeter of the fifth square = 4 x 5.33 = 21.32
Total perimeter = 281.32 units
To learn how a square, please check: brainly.com/question/9030544
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Answer:
X=4
Step-by-step explanation:
4*4=16+7=23
