Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
where, (h,k) is center and r is the radius.
Now, put x=2.
Taking square root on both sides.
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Are the problems separated?
Answer:
5 hours
Step-by-step explanation:
276/12= 23
115/23= 5
Answer:
y = -1/8 x² + 5
Step-by-step explanation:
Parabola opens vertically and vertex (h,k) = (0,5), pass point (4,3)
basic formula: y = a(x - h)² + k
y = a (x-0)² + 5
y = ax² + 5 pass (4,3)
3 = 16a + 5
a = (3-5)/16 = -1/8
equation: y = -1/8 x² + 5
check: pass another point (-4,3)
-1/8 * (-4)² + 5 = -2 + 5 = 3
Answer:
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
Step-by-step explanation:
We are told that the newest model gets an average of 52 miles per gallon and that the buyers believe that the average mpg was overstated.
This means the alternative hypothesis will have an average less than 52. Thus;
Null hypothesis; H0: µ ≥ 52 mpg
Alternative hypothesis; Ha: µ < 52 mpg
