E = 1/2 m v^2
E = 1/2 (0.145) (40)^2
E = 0.0725 x 1600
E = 116 kg m^2/s^2
1 joule = 1 kg m^2/s^2
so here E in joules is 116 joules
so E = 116 joules
Answer:
Part a)
We need to find the equation of a straight line passing through two given points in slope-intercept form
Part b)
The information given; we are given two points where the line passes through; (0, -4) and (-2, 2)
Part c)
We shall first determine the slope of the line using the formula;
change in y/change in x. Next, we determine the value of the y-intercept using the general form of the equation of a straight line in slope-intercept form; y = mx+c
Part d)
The slope of the line is calculated as;
(2--4)/(-2-0) =6/-2 = -3
The equation of the line in slope-intercept form becomes;
y = -3x +c
We use the point (0, -4) to determine the value of c;
-4 = -3(0)+c
c = -4
Part e)
Final solution thus becomes;
y=-3x-4
1.) 3 (3t + s)
distribute
9t + 3s
plug in the variables
9 ( 12 ) + 3 ( 9 )
108 + 27
135
2.) 2s - t
plug in the variables
2 ( 9 ) - 12
18 - 12
6
I hope this helped and i sincerely hope that this was the brainliest answer!
have a nice day
Answer:
5√2 units ≈ 7.07 units
Step-by-step explanation:
The ratio of leg to hypotenuse in an isosceles right triangle is ...
leg/hypotenuse = 1/√2
Multiplying by the length of the hypotenuse, we have ...
leg = hypotenuse/√2 = 10/√2
leg = 5√2 . . . . rationalize the denominator
The length of one leg is 5√2 units, about 7.07107 units.
