Answer:
1. -72
2. -64
Step-by-step explanation:
it is increasing by 4 so,
-76, -72, -68, -64, -60, -56.
Answer:
timetaken to produce a playdough =4hours
a batch of playdough is produced in =1/6 hour
in 1hour,it will take 6 multiplied by a batch of playdough=6 batches of playdough to be produced
4 hours of making playdough in a day will produce=4 multiplied by 6 batches of playdough=24 batches of playdough in a day
Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.
1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
According to this theorem,
Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then
Take positive value x. You get
2. According to the previous theorem,
Then
Answer: 
This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then
This means that you cannot find solutions of this equation. Then CD≠2 cm.
Answer:
y = 5x2 + 10x - 15
We want this in format y = a(x-h)2 + k
where the vertex will be at (h,k)
y = 5(x2+2x) - 15
Complete the square on x2+2x
y = 5(x2+2x+1) - 15 - 5
We subtract 5 at the end because we are actually adding 5(1) = 5
so we need to remove it also to keep the total equal
y = 5(x+1)2 - 20
The vertex is at (-1,-20)
9/11 is rounded to 1. It rounds up because 9 is higher than 5, which is the middle of 11.
