Answer:
a = 5
Step-by-step explanation:
According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder
In this case, the remainder would be zero
So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0
So we have this as;
x + 2 = 0
x = -2
-2^3 -2(-2)^2 -2(a) + 6 = 0
-8-8-2a + 6 = 0
-16 + 2a + 6 = 0
2a -10 = 0
2a = 10
a = 10/2
a = 5
If y=15 then x=45 because 45 minus 15 is 30
Hope this helps :))
Answer:
1800
Step-by-step explanation:
Given in the question a polygon of 12 sides
Formula to calculate sum of interior angles of 12-gon is
<h3> (n – 2)180</h3>
where n is the number of sides
which in this case = 12
plug values in the formula above
(12 - 2)180
12*180 - 180(2)
2160 - 360
1800
Sum of measurements of the interior angles of a 12sided polygon is 1800
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The answer depends on the way you solved it.
I am assuming you take the base on which you perceived to be: . 5 and height which is 2.
So you must've ended with 1
But in actuality, you need to use the equation above and plug in 1.5 and 1
Subtract them and you should get 1.25
Do the same to the other side, you should get 6.
.125 x 6 = .875