The expression that represents the perimeter P as a function of x is 14x + 14
The perimeter can simply be defined as the part or portion surrounding a shape or boundary. The formula for calculating the perimeter of the rectangular yard is expressed as:
The perimeter of the rectangular yard = 2(L+W) where:
L is the length
W is the width
Given the following parameters
Length = 5x + 2
Width = 2x
Substitute the given parameters into the formula above:
Perimeter = 2(5x+2+2x)
Perimeter = 2(7x + 2)
Perimeter = 14x + 4
Hence the expression that represents the perimeter P as a function of x is 14x + 14
Learn more: brainly.com/question/10452031
For this case we have the following expression:
4 (-12) (- 3)
Rewriting we have:
We multiply 4 by -3:
(-12) (- 12)
We rewrite:
(-1) (- 1) (12) (12)
(1) (12) (12)
(12) (12)
144
Answer:
the product 4 (-12) (- 3) is:
C) 144
1) f(1) = 0 ; f(2) = 1 ; f(n) = f(n-1) + f(n-2) , for n > 2
f(3) = f(3-1) + f(3-2) = f(2) + f(1) = 1 + 0 = 1
f(4) = f(4-1) + (4-2) = f(3) + f(2) = 1 + 1 = 2
f(5) = f(5-1) + (5-2) + f(4) + f(3) = 2 + 1 = 3
1st five terms of the sequence are 0, 1, 1, 2, 3
2) There is no graph. This question can't be answered.
3) <span>C. This is the average number of days the house stayed on the market before being sold for $250,000.</span>
Using relations in a right triangle, it is found that the distance the box has to travel to move from point A to point C is of 15.1 feet.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, we have that the side of length 14 ft is opposite to the angle of 68º, while we want to find the hypotenuse which is the distance, hence:
sin(68º) = 14/h
h = 14/sin(68º)
h = 15.1
More can be learned about relations in a right triangle at brainly.com/question/26396675
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6V + 2(V+12) = 488
8V = 464
V = 58 mph for 6 hours
V+12=70 mph for 2 hours.
check: 58*6 = 348
70*2 = 140
348 +140 =488
the car was traveling at 70 mph on the 2nd highway
