Answer:
Between 1 and 3 seconds
Step-by-step explanation:
There is no change in distance ( change in y ) between 1 and 3, so she wasn't walking during that time
Step-by-step explanation:
so first you combine like terms , 3x-x-4=4 turns into 4x-4=4 then u add 4 to both sides [inverse operations]
4x-4=4
+4 +4
--------------
4x= 8
----------
4. 4
×=2
then u use inverse operations. agian and divide 4 into 8 and you get 2 !! x = 2
Answer:
26.2 units
Step-by-step explanation:
We are given the points/vertices
A(6, 3),
B(6, - 2) , and
C(- 4, 3)
Step two
Let us find the distances between the given points/vertices
A-B =A(6, 3) to B(6,-2)
d=√((x2-x1)²+(y2-y1)²)
Substitute
d=√((6-6)²+(-2-3)²)
d=√(-2-3)²)
d=√(-5)²)
d=5 units
B-C=B(6, - 2) to C(-4, 3)
d=√((x2-x1)²+(y2-y1)²)
Substitute
d=√((-4-6)²+(3+2)²)
d=√(-10)²+(5)²)
d=√100+25
d=√125
d=11.2 units
C-A=C(-4, 3) to A(6, 3)
d=√((x2-x1)²+(y2-y1)²)
Substitute
d=√((6+4)²+(3-3)²)
d=√(10)²
d=√100
d=10 units
Hence the perimeter is 5+11.2+10
P=26.2 units
The will intersect at a point with a positive x coordinate.
We can tell this because they actually already have a shared space on the graph. If you plot the 3 points of g(x) given, you'll see that f(x) and g(x) both share the coordinate (1, 3). As a result, we know that they do intersect and it is where x (1) is a positive number.
Answer:
Factor by which kinetic energy increase = 4 times
Step-by-step explanation:
Given,
- Mass of the car, v1 = 1500 kg
- initial speed of car = 35 miles/h
= 15.64 m/s
Initial kinetic energy of the car is given by,
= 183606.46 J
- Final velocity of car v2 = 70 miles/hour
= 31.29 m/s
So, final kinetic energy of car is given by
= 734425.84 J
Now, the ratio of final to initial kinetic energy can be given by,
Hence, the kinetic energy will increase by 4 times.
