Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
The median would be the middle data point. Let’s list the points
25, 26, 31, 39, 32, 57
Put them in order from least to greatest
25, 26, 31, 32, 39, 57
There is an even amount of data so take the two center points and divide by 2
31 + 32 = 63
Divide by 2
31.5
There would be an average of 31.5 strokes
Answer:
lesser x = -4
greater x = 1
Step-by-step explanation:
here's the solution :-
=》
=》
=》
=》
now, there are two cases
case 1) where x + 4 = 0
=》x = -4
case 2) where x - 1 = 0
=》x = 1
Answer:
x=3, y= -6
Step-by-step explanation:
make 4+y= -x as equation (1) and make y=2x-10 as equation (2, then you must find a third equation either from equation (1)or (2). If you choose to find equation (3) from (2) it will be y=2x-10 , then substitute equation (3) from (1) because you can't choose (2) , then it will be 4+(2x-10)= -x
the answer will be x =2
substitute x from equation (3)
y=2x-10
y=2 (2)-10
y= -6
Answer: it will take her 58 minutes to walk one mile.
Step-by-step explanation:
She walks at a constant rate of 30 seconds per lap and it takes her 46 steps to walk one full lap. It means that she walks 46 steps in 30 seconds.
If each step is approximately 1 foot, it means that the number of feet that she walks in 30 seconds is 46 feet.
1 foot = 0.000189 miles
Therefore, 46 feet would be
46 × 0.00189 = 0.008694 miles
Therefore, if she she walks 0.008694 miles in 30 seconds,
The time it will take her to walk 1 mile would be
30/0.008694 = 3450.66 seconds
Converting to minutes, it becomes
3450.66/60 = 58 minutes
