Answer:
5
Step-by-step explanation:
To solve with calculus, distance is the integral of speed:
d = ∫ |v| dt
d = ∫₀⁴ |t − 3| dt
d = -∫₀³ (t − 3) dt + ∫₃⁴ (t − 3) dt
d = ∫₀³ (3 − t) dt + ∫₃⁴ (t − 3) dt
d = (3t − ½ t²) |₀³ + (½ t² − 3t) |₃⁴
d = [ (9 − 9/2 ) − (0 − 0) ] + [ (8 − 12) − (9/2 − 9) ]
d = 9/2 + 1/2
d = 5
You can also find this geometrically. Graph y = |x − 3|, then find the area under the curve. You will find it's the area of two triangles.
d = ½ (3)(3) + ½ (1)(1)
d = 5
It's important to note that distance is not the same thing as displacement. Displacement is the difference between where you start and where you stop. Distance is length of the path you take.
need help?
Step-by-step explanation:
just try plotting on a number line
25×7.25=181.25
443.75-181.25=262.5
262.5÷25=13.125
$13.13
when given two points, you can find the slope of the line that passes through those points by using the slope formula
7. A(1,3), B(4,7)
(the ordered pair you choose to use for x1,y1 could be the other ordered pair, it doesn't really matter)
plug in
8. C(3,5), D(-2,6)
plug in
9. E(-4,0), F(5,5)
plug in
10. K(-4,4), L(-5,4)
plug in
Answer:
Hypotenuse = 12 inches
Step-by-step explanation:
As the given triangle involves an angle of 90°, this is a right angle triangle.
We an use the Pythagoras theorem to find the length of hypotenuse
So,
Hence the length of hypotenuse is 12 inches ..