Answer:
2np + p²
Step-by-step explanation:
The general formula for the area of a square is A = s², where s = the length of one side of the square. In the case of the smaller square the area would be: n x n = n². Since the side of the larger square is 'p' inches longer, the length of one side is 'n + p'. To find the area of the larger square, we have to take the length x length or (n +p)².
Using FOIL (forward, outside, inside, last):
(n + p)(n+p) = n² + 2np + p²
Since the area of the first triangle is n², we can subtract this amount from the area of the larger square to find out how many square inches greater the larger square area is.
n² + 2np + p² - n² = 2np + p²
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the main formula is </span>(cd)(x)=c(x).d(x) <span>
If c(x) = 4x – 2 and d(x) = x2 + 5x
so </span> (cd)(x) = (4x – 2)(x2 + <span>5x)=4x^3+20x²-2x²-10x=4x^3+18x²-10x
so the answer is A: </span><span>4x^3+18x²-10x</span><span>
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You need the Law of Sines for this. In our case we have the measure of angle B and side b, we have the measure of angle A and are looking for side a, or x. Setting up the Law using our info, we have
. We will solve for x by multiplying both sides by sin(42):
, first choice above.
Answer:
x =2, The function g(x) = g(2) = 1
Answer:
c)11√2
Step-by-step explanation:
Given that two of the angles are equal ,each measuring 45 degrees then two legs will be equal as well each measuring 11 units. We have a right angled triangle with two sides given and we are required to determine the hypotenuse. We use Pythagoras theorem;
hypotenuse^2 = 11^2 + 11^2
hypotenuse ^2 = 242
hypotenuse = 
hypotenuse = 
