32^3/5 = (2^5)^3/5 = 2^(5*3/5) = 2^3 = 8
Line segment AB and CD both are congruent with the length of 16 units.
We have been given two line segment AB and CD of whose coordinates are :
A = -7 , B = 9 and C = -4 , D = 12
The distance formula is given as |x2 – x1|
Therefore the length of AB = |9 – (-7)|
= 9 + 7
= 16
The length of CD = |12-(-4)|
= 12 + 4
= 16
Note that when two line segments are congruent then their distance is equal.
Thus both the line segment AB and CD are congruent with a length 16 unit.
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There are 2 roots so the only way to complete the square is,
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form:
M = (-7-6)/(-10-6) = -13/-26 = -1/2
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge = +
=
Thus,
<CAB = - =
<CBA = - =
Sine rule states;
= =
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
=
=
=
cross multiply,
b =
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
=
=
=
cross multiply,
a =
= 124.8073
Sarge is about 125 feet away from the fire.