Answer/step-by-step explanation
The soldier at point P lie on a parabola because he determined his position and distances from towns A and B through measurement of the difference in timing (phase) of radio signals received from the two towns.
This analysis of the signal time difference gives the difference in distance of the soldier at P, from the towns.
This process is known as hyperbolic navigation.
These distances of point P from towns A and B is estimated by the soldier at point P, by measuring the delay localizes the receiver to a hyperbolic line on a chart.
Two hyperbolic lines will be drawn by taking timing measurements from the
towns A and B .
Point P will be at the intersection of the lines.
These distances of point P(The soldier's positions) from town A and town B were determined using the timing of the signals received from the two towns, due to the fact that point P was on a certain hyperbola.
32 students choose a favorite topping for their slices.
Let x be the total number of students.
1/2 of the total students, or 1/2x, choose pepperoni.
1/4 of the total students, or 1/4x, choose extra cheese.
1/8 of the total students, or 1/8x, choose sausage.
4 students choose mushrooms.
We know that together, these equal the total number of students, x:
1/2x+1/4x+1/8x+4=x
We will use 8 as the common denominator:
4/8x+2/8x+1/8x+4=x
Combining like terms:
7/8x+4=x
Subtract 7/8x from both sides:
7/8x+4-7/8x=x-7/8x
4=1x-7/8x
4=1/8x
Divide both sides by 1/8:
4÷(1/8) = 1/8x÷(1/8)
4/1÷(1/8) = x
4/1×8/1 = x
32/1 = x
32 = x
Answer:
Step-by-step explanation:
-8.5
-|4.5|
-3.5
-1.5
|-3.5|
4.5
|5.5|
Answer:
(x-4) is not a factor of f(x)=x³-2x²+5x+1
Step-by-step explanation:
Uding the remainder theorem,(x-4) is a factor if the remainder is 0
Plug in x=4
(4)³-2(4)²+5(4)+1
64-32+20+1
64-53
11
Answer:
85-7-19 or 85-26
Step-by-step explanation:
