Given that the range of the signal is a quadratic function:
(x-h)^2 = 4a (y - k)
(5-4)^2 = 4a (4 - 2)
4a =1/2 therefore,
(x -4)^2 = (1/2)(y – 2)
The road is a line.
Slope of the road is (7 -2)/(-3 -8) =-5/11
Therefore the equation of the line:
5x + 11y = 5(8) + 11(2)
5x + 11y = 62
Answer:
Step-by-step explanation:
1. A given chord on a circle is perpendicular to a radius through its center, and it is at a distance less that the radius of the circle.
2. A circle of center O has a radius of 13 units. If a chord AB of 10 units is drawn at a distance, d, to the center of the circle, determine the value of d.
3. From question 2, the radius = 13 units, length of chord = 10 units and distance of chord to center of the circle is d.
A radius that meet the chord at center C, and divides it into two equal parts.
So that;
AC = CB = 5 units
Applying Pythagoras theorem to ΔOCB,
OC = d, CB = 5 units and OB = 13 units
= +
169 = 25 +
169 - 25 =
144 =
⇒ d =
= 12 units
Therefore, the chord is at a distance of 12 units to the center of the circle.
Answer:
Step-by-step explanation:
step 1
Find the volume of the container
The volume is equal to
step 2
Find the volume of the crystal cube
The volume is equal to
step 3
Find the total number of crystal cubes in the container
Divide the volume of the container by the volume of the crystal cube
so
step 4
Find the cost
Multiply the number of crystal cubes by $0.05
Answer= 135
[8-2]× 180 is =1080÷8 =135
let the number = x
x*80/100 = 55
x = 5500/80
x=68.75
After rounding off, it will remain 68.75