If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
Answer:
i posted a picture
Step-by-step explanation:
You gotta fond the radius of the circle
I’m pretty sure
Let x be the length of one side of the smaller square
Let y be the length of one side of the larger square
4x would be the perimeter of the smaller square, as it has 4 sides
Therefore 4x = y + 10, as the perimeter of the smaller square is 10 inches bigger than one side of the larger square.
We're going to solve this question using simultaneous equations. This means we need another equation to compare the first one to.
Since we know that one side of the larger square is 2 inches bigger than the first one, we can make the equation
y = x + 2
Know that we know the value of y in terms of x, we can introduce this value to the original equation to find:
4x = (x + 2) + 10
Therefore:
4x = x + 12
3x = 12
x = 4
Now that we know the size of the sides on the smaller square, we can figure out the size of the larger square by using our second equation (y = x + 2)
y = 4 + 2
y = 6
Therefore, the length of each side of the larger square is<u> B.6</u>
Answer:
Step-by-step explanation:
finding PR ( public relations :D , not that PR , the PR on this triangle thingy )
use law of cosines, again
c=sq rt [ a^2+b^2﹣2*a*b*cos(C) ]
where
c=PR
a= 9
b = 22
C = the angle of Q or 180 = 97+24+Q so Q = 180-97-24 = 59°
they tried to trick us.. by not giving us the angle C for the above cosine formula , but we figured out their diabolical plan :D yay super hero math
then
PR = sq rt [ 9^2 + 22^2 - 2*9*22*cos(59) ]
PR = sq rt [ 81 + 484 -203.9550777 ]
( notice that now it is a subtraction sign instead of a plus sign, this time? )
PR = sq rt [361.0449 ]
PR = 19.0011
to the nearest 10th
19.0 :)
