Katie collects stamps. She has stamps from Canada, the U.S.A, and the rest of the world in a ratio of 1: 1.2: 1.5. She has 135 s
2 answers:
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Answer:
Amount of fencing required = 75 yards
Step-by-step explanation:
Distance between the two points and
is given by the formula,
d =
Distance between A(3, 6) and B(3, -2) =
= 8 yards
Distance between B(3, -2) and C(-7, 4) =
=
= 11.66 ≈ 12 yards
Distance between C(-7, 4) and D(-7, -2) =
= 6 yards
Distance between D(-7, -2) and E(-3, -2) =
= 4 yards
Distance between E(-3, -2) and F(-3, -8) =
= 6 yards
Distance between F(-3, -8) and G(3, -8) =
= 6 yards
Distance between G(3, -8) and H(10, -12) =
=
=
= 8.06 ≈ 8 yards
Distance between H(10, -12) and J(10, 6) =
= 18 yards
Distance between A(3, 6) and J(10, 6) =
= 7 yards
Since length of fence required = perimeter of the flat area
Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7
= 75 yards
Therefore, amount of fencing required = 75 yards
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!