We know that the measure of arc AC = 92 degrees, and x and y are both inscribed angles of this arc, which means that they will have 1/2 of its measure.
Therefore, x = 1/2 (92) = 46 degrees and y = 1/2 (92) = 46 degrees
x = 46, y = 46 is your answer, or the first option
Let the two numbers be represented by x and y. Then xy = 4 and x + y = -5.
Solving the first equation for y, we get y = 4/x.
Subbing 4/x for y in the second equation, we get x + 4/x = -5.
Multiplying all three terms by x removes the fractional term:
x^2 + 4 = -5x
Rearranging terms in descending powers of x: x^2 + 5x + 4 = 0
Factoring, (x+1)(x+4)=0, so that x = -1 and x= -4 are roots / solutions.
Note that (-1)(-4) = 4 and that (-1) + (-4) = -5, as required.
Two such numbers are {-1, -4).
Answer:
k = -13
Step-by-step explanation:
-4(k +2) = -k +31
you multiply the bracket by -4
-4k-8 = -k+31
Collect the like terms
-4k+k = 31+8
-3k =39
divide both sides by -3
k = -13
Answer:
see explanation
Step-by-step explanation:
Given that z varies directly with y and x then the equation relating them is
z = kxy ← k is the constant of variation
To find k use the condition x = 6, y = 12 and z = 10
k = = = = , hence
z = xy ← equation of variation