1. 2(8x – 1) + 2(2x + 4)
2. 16x – 2 + 4x + 8
3. (20x + 6)
Step-by-step explanation:
The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
The formula for calculating the perimeter of a rectangle is expressed as:
P = 2( l + w)
Given the following parameters
length l = 8x - 1
width w = 2x + 4
Substitute the expressions for the length and width into the formula;
P = 2(8x - 1 + 2x + 4)
P = 2(10x + 3)
Distribute 2 over each term in the parenthesis
P = 2(10x) + 2(3)
P = 20x + 6
Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6
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Answer:
Y = -5X
Step-by-step explanation:
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Factor out the gcf
4x(x^2-16)
Then factor the inner binomial (difference of squares)
4x(x+4)(x-4)
Final answer: 4x(x+4)(x-4)
Answer: the 57 the term is - 909
Step-by-step explanation:
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = - 13
d = - 29 - - 13 = - 45 - - 29 = - 16
n = 57
We want to determine the value of the 57th term, T57. Therefore,
T57 = - 13 - 16(57 - 1)
T57 = - 13 - 896
T57 = - 909
Answer:
x=-2, the axis of symmetry is at -2
Step-by-step explanation:
For a quadratic function in standard form, y=ax^2+bx+c , the axis of symmetry is a vertical line x=−b/2a
y=x^2+4x-5
a=1
b=4
x=-4/2(1)
x=-4/2
x=-2
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