Answer:
the answer is 1/27. C :))
<u>We know that:</u>
Slope of a line = change in y coordinate / change in x coordinate
<u>We are given:</u>
First point = (2,5)
Second point = (5, 14)
<u>Calculating the change in y coordinate:</u>
change in y (also represented by Δy) = second y - first y
Δy = 14 - 5
Δy = 9
<u>Calculating the change in x coordinate:</u>
Δx = second x - first x
Δx = 5 - 2
Δx = 3
<u>Slope of the line:</u>
Slope = (Δy) / (Δx)
Slope = 9 / 3 [replacing the values]
Slope = 3
Answer:
4x^2 -12x +9 ft^2
Step-by-step explanation:
The area of a square is
A = s^2 where s is the side length
A = (2x-3) ^2
A = (2x-3) (2x-3)
FOIL
first 2x*2x =4x^2
outer 2x (-3) = -6x
inner -3*2x = -6x
last -3*-3 = 9
Add them together
4x^2 -6x-6x +9
Combine like terms
4x^2 -12x +9
The area is 4x^2 -12x +9 ft^2
The length of extra cable that is required to connect the two pieces of existing cable is equal to 182 meters.
<h3>How to determine the length of extra cable?</h3>
In order to determine the length of extra cable that is required to connect the two pieces of existing cable, we would apply the law of cosine as follows:
B² = A² + C² - 2(A)(C)cosB
Substituting the given parameters into the formula, we have;
B² = 325.0² + 430.0² - 2(325.0)(430.0)cos23
B² = 105,625 + 184,900 - 279,500(0.9205)
B² = 290,525 - 257,279.75
B² = 33,245.25
B = √33,245.25
B = 182.33 ≈ 182 meters.
Read more on cosine law here: brainly.com/question/11000638
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This will be the answer -37/8 > -4.63