It could've been a PENTAGON and a SQUARE.
It could've been a HEXAGON and a TRIANGLE.
There is no simpler ratio then 1:4. So the answer is 1:4.
Answer:
y = -5/9x + 4.1
(try doing this yourself first with different points to make sure this is the right answer, because im to lazy to check myself but ill try checking D:)
Step-by-step explanation:
first you have to find the slope . to do this use the equation y2 - y1/ x2 - x1
so write as -2 - 3/ -7 - 2 is equal to -5/-9
so now write y = -5/9x + b
we must now find the y-intercept so substitute one of the points given. lets substitute 2,3 it looks easier. So it will look like 3 = -5/9(2) + b
3 = -5/9(2) + b
3 = -10/9 + b
b = 3 + 10/9
b = 4.111111
um just round to the tenth place
Answer:
-6i
Step-by-step explanation:
Complex roots always come in pairs, and those pairs are made up of a positive and a negative version. If 6i is a root, then its negative value, -6i, is also a root.
If you want to know the reasoning, it's along these lines: to even get a complex/imaginary root, we take the square root of a negative value. When you take the square root of any value, your answer is always "plus or minus" whatever the value is. The same thing holds for complex roots. In this case, the polynomial function likely factored to f(x) = (x+8)(x-1)(x^2+36). To solve that equation, you set every factor equal to zero and solve for the x's.
x + 8 = 0
x = -8
x - 1 = 0
x = 1
x^2 + 36 = 0
x^2 = -36 ... take the square root of both sides to get x alone
x = √-36 ... square root of an imaginary number produces the usual square root and an "i"
x = ±6i
The vertical angles are equal to each other, that is, one of the one-sided corners will be 116°.
The sum of the one-sided angles is 180°, which means: 4x+116 = 180°
4x = 180-116 => 4x = 64°
x = 64/4 = 16°.
The sum of two adjacent angles is 180°. which means, that: 2x-3y = 180-64 = 116°
2x-3y = 116°
-2x+3y = -116
-32+3y = -116
3y = -116-(-32)
3y = -84
y = -84/3 => y = -28.
