Answer:
-1
Step-by-step explanation:
See the attachment for the polynomial long division. The constant in the quotient is -1.
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Here, there is a remainder of -x. If there were no remainder the constant in the quotient is the ratio of the constant in the dividend to the constant in the divisor: -2/2 = -1.
That could be a first guess in a "guess and check" solution approach.
<em>Guess</em>: first term of binomial quotient is (2x^3)/x^2 = 2x; last term of binomial quotient is -2/2 = -1. So, the quotient is guessed to be (2x -1).
<em>Check</em>: (2x -1)(x^2 -x +2) = 2x^3 -3x^2 +5x -2
Subtracting this from the actual dividend gives a remainder of -x. This has a lower degree than the divisor, so no further adjustment of the quotient is required.
Answer:
x = 0.5
y = -1/4 or -0.25
Step-by-step explanation:
x + 6y = 2
3x + 2y = 10
Multiply a number by any of the equations to get numbers of the same variable
3x + 18y = 6
3x + 2y = 10
3x - 3x = 0
NB: subtract evenly if u subtract down from top make sure u subtract down from top throughout
16y = -4
16y/16 = -4/16
y = -1/4 or -0.25
to find the x value, any where you see y u put in the y value(-0.25)
So u'll pick just one of the equations above
x + 6(0.25) = 2
x + 1.5 = 2
x = 1.5 + 2
x = 0.5
The large triangle is an isosceles since both angles at the base each equal 42°.
In an isosceles triangle the altitude z is at the same time median , then it bisects the opposite side in the middle . So w = 120/2 = 60
Now let's calculate z:
tan 42° = (opposite side) / (adjacent side) = z/60
tan 42° = 0.9,
0.9 = z/60 and z = 54
Answer:
C) 36
Step-by-step explanation:
You have to add all the numbers together and then divide by the amount of numbers, in your case 5.