Answer:
70.5°
Step-by-step explanation:
22² = (20)²+(18)² - 2(20)(18) cos X
484 = 400 + 324 - 720 cos X
-240 = -720 cosx
1/3 = cos X
= X
X = 70.52877937
We are asked to determine the value of a such that the function f(x) = ax^2 + 5 is fit for the point given (-1,2). In this case, we substitute 2 to y and -1 to x. The result is then 2 = a*(-1)^2 + 5 ; 2 = a + 5; a is then equal to -3
The percent of increase from 10 to 12 is 20 %. 10 x 1.2 = 12.
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Answer:
-6 gets canceled out because it gets squared. When you square a number, you multiply it by itself. Any negative number times a negative number results in a positive number. So instead of -36 its just 36
Answer:
44
Step-by-step explanation:
Given, 3x^2 + 3y^2 = 42
=>3(x^2 + y^2) = 42 =>x^2 + y^2 = 42/3= 14
Thus,
= (x - y)^2
= x^2 + y^2 - 2xy
= (x^2 + y^2) - 2xy
= 14 - 2(-15)
= 14 + 30
= 44
