Answer:
Step-by-step explanation:
8z, 12y, 7.7 are separate terms
z and y are variables
8 and 12 are coefficients
7.7 is the constant
N - 13, because -4 and -9 are like terms
Answer:
(x + 5.66, y + 5.66) where (x, y) is the location of the crater
Step-by-step explanation:
Locating volcano's crater at (0, 0), the new vent is at angle equal to 45° respect x-axis, and at distance of 8 km from the crater. In polar coordinates that is radius (r) = 8, angle (α) = 45°. We are asked to transform these polar coordinates into rectangular coordinates. To do it, we have to use the following formulas:
x = r*cos α = x = 8*cos 45 = 5.66
y = r*sin α = 8*sin 45 = 5.66
If the crater is at position (x, y) then the vent would be translated at position (x + 5.66, y + 5.66)
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Step-by-step explanation:
Answer:
a) “There is no integer n such that for all integers m, m<n”
b) The proposition is false and its negation true.
Step-by-step explanation:
a)
The negation of the proposition is
<em>“There is no integer n such that for all integers m, m<n”
</em>
b)
It is easy to prove that the proposition is false.
If there existed such an integer n , then since n+1 is an integer, n+1 < n, which is a <em>contradiction. </em>
So such an integer n cannot exist.
Since the proposition is false, its negation is true.