Step-by-step explanation:
=( 5 + 1 )2 - ( 12 + 32 ) + 3
=6 * 2 - 44 + 3
=12 - 44 + 3
= -29
Answer:
64.428
Step-by-step explanation:
well to find the mean we add all of the numbers up and then divide it by the amount of numbers in the sequence
so if we add all of the numbers up it will give us
451
then if we divide that by the number of numbers in the sequence which is 7 then that will leave us with
around 65 or exactly it would be
64.428
189 because you have to multiply by 3 twice.
Answer:
y = (-1/19)(x - 8)² + 1521/76
Step-by-step explanation:
A parabola moves in such a way that it's distance from it's focus and directrix are always equal.
Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4
If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;
√((x - 8)² + (y - ¼)²)
Distance from that point to the directrix is; (y - 39/4)
Thus;
√((x - 8)² + (y - ¼)²) = (y - 39/4)
Taking the square of both sides gives;
((x - 8)² + (y - ¼)²) = (y - 39/4)²
(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²
Simplifying this gives;
(x - 8)² - (39/4)² = (½ - 39/2)y
(x - 8)² - 1521/4 = -19y
(x - 8)² - 1521/4 = -19y
Divide both sides by -19 to get;
y = (-1/19)(x - 8)² + 1521/76
Answer:
1 3/4 = 7/4 = 1.75 miles (ran);
1.75 + 3.60 = 5.35 miles ( ran and bicycled);
average speed = 5.35 / 0.7 = 7.64 miles per hour;
The correct answer is D.
Step-by-step explanation:
