Answer:
Incomplete question
This is the complete question
A stone falls from the top of a cliff into the ocean.
In the air, it had an average speed of 16 m/s. In the water, it had an average speed of 3 m/s before hitting the seabed. The total distance from the top of the cliff to the seabed is 127 meters, and the stone's entire fall took 12 seconds.
How long did the stone fall in air and how long did it fall in the water?
Step-by-step explanation:
The stone speed in air Sa =16m/s
The stone speed in water Sw=3m/s
Total distance travelled is 127m
Total time taken is 12 sec
Let time in air be ta
Tune in water be tw
Therefore
Total time =ta +tw
12=ta+tw. ,Equation 1
ta=12-tw. ,Equation 2
Also
Speed is given as
Speed = distance /time
Distance =speed × time
So, total distance = distance traveled in air + distance travelled in water
127= Sa×ta + Sw×tw
127=16ta+3tw. , Equation 3
Substitute equation 2 into. 3
127=16(12-tw)+3tw
127=192-16tw+3tw
127-192=-13tw
-65=-13tw
tw=-65/-13
tw=5 seconds
Also from equation 2
ta=12-tw
ta=12-5
ta=7 seconds
The stone spent 7 seconds in air and spent 5 seconds in water before getting to the seabeds
Answer:
For the parallel line it will still have a slpoe of 2/3
Step-by-step explanation:
as for the perpendicular line it will be double like 4/6 so it can meet it at a 90° angle.
Answer:
(3w - 7)(3w + 7)
Step-by-step explanation:
The expression is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
9w² - 49
= (3w)² - 7²
= (3w - 7)(3w + 7)
If we consider what the distance formula really tells you, we can see the similarities. It is more than just a similar form.
The distance formula is commonly seen as:
D= √(x1−x2)2+(y1−y2)2
We commonly write the Pythagorean Theorem as:
c= √a2+b2
Consider the following major points (in Euclidean geometry on a Cartesian coordinate axis):
The definition of a distance from
x
to ±c is |x−c|
.
There is the relationship where
√(x−c)2=|x−c|=x−c
AND −x+c
The distance from one point to another is the definition of a line segment.
Any diagonal line segment has an
x
component and a
y
component, due to the fact that a slope is
Δy/Δx
. The greater the
y
contribution, the steeper the slope. The greater the
x
contribution, the flatter the slope.
What do you see in these formulas? Have you ever tried drawing a triangle on a Cartesian coordinate system? If so, you should see that these are two formulas relating the diagonal distance on a right triangle that is composed of two component distances
x
and
y
.
Or, we could put it another way through substitutions based on the distance definitions above. Let:
x1−x2=±ay1−y2=±b
(depending on if x1>x2 or x1