The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Since the curve crosses the y-axis at y = 1, hence it is a cosine graph. It has a maximum of 1 and a minimum of negative 1, therefore the amplitude is 1
Also, the angular frequency = 2π * 1/5π = 0.4
The equation of the graph is given by y = cos(0.4x) and has an amplitude of 1
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I would choose c because it makes the most sense rather then the rest
Grid lines to the right represent positive numbers for the first coordinate. 3 of them will put you on a grid line with a value of 3×0.5 = 1.5.
You now know enough to select the correct answer, ...
... (1.5, -2.5)
_____
You can confirm this is the correct answer by figuring the second coordinate. Down represents negative numbers, so down 5 units is -(5×0.5) = -2.5. This matches the second coordinate of the chosen answer.
Answer:
(7a^2 + 8b^2 + 5ab) (7a^2 + 8b^2 - 5ab)
Step-by-step explanation:
Dado que ambos términos son cuadrados perfectos, puede factorizar utilizando la fórmula de la diferencia de cuadrados, a^2 - b^ 2 = (a + b) (a - b), donde a = 7a^2 + 8b^2 y b = 5ab.
English: Since both terms are perfect squares you can factor using the difference of squares formula, a^2 - b^2 = (a + b)(a - b), where a = 7a^2 + 8b^2 and b = 5ab.
<span>a) We know that the correct answer will be the square root of 256 since the competition area is a square with an area of 256 meters. And since 10^2 = 100 which is less than 256, the answer has to be greater than 10. And since 20^2 = 400 which is greater than 256, the answer also has to be less than 20. Therefore the answer has to be between 10 and 20.
b) The last digit has to be either a 4 or a 6. The units digit is the only digit that will contribute to the units digit of the square. And 0^2 = 0, 1^2 = 1, 2^2 = 4, 3^2 = 9, 4^2 = 16, 5^2 = 25, 6^2 = 36, 7^2 = 49, 8^2 = 64, 9^2 = 81. Of the 10 possible digits, only the values 4 and 6 have a square that has an units digit of 6.
c) The square root of 256 based up (a) and (b) above has to be either 14, or 16. So the dimensions are either 14x14 meters or 16x16 meters.</span>
