Answer:
1
Step-by-step explanation:
1) first, we need to calculate slope of old line:
Let’s take coordinate points (3,7) and (4,9)
3-x1
7-y1
4-x2
9-y2
Slope formula: (y2-y1)/(x2-x1)
Let’s plug in our values:
(9-7)/(4-3)
2/1
Old slope=2
So we need to divide 2 with 2
2/2=1
New slope=1
Hope this helps
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
How to determine average velocity and instantaneous velocity?
Average velocity is defined as the body's overall displacement divided by its time of motion. While instantaneous velocity is defined as a body's speed at a certain instant in time, or its displacement at that instant. When the velocity is constant, average and instantaneous velocities will equalize at just one condition.
The definition of instantaneous velocity is the rate of change of position over a relatively brief time period (almost zero). Simply said, the speed of an object at that precise moment. The definition of instantaneous velocity is "The velocity of an item in motion at a certain point in time." The instantaneous velocity of an object may be equal to its standard velocity if it has uniform velocity.
Mathematically, average velocity = [s(t₂) - s(t₁)]/[t₂ - t₁]
Instantaneous velocity at time, t is = (ds/dt) at time = t
Given, the displacement for the particle is given by s = 3t² - 4t + 5
Time interval, t₁ = 5s and t₂ = 3s;
Using formula in literature, average velocity of the particle in the time interval between 3s and 5s is:
Average velocity = (s(5) - s(3))/(5 - 3) = (60 - 20)/2 = 20 ms⁻¹
Instantaneous velocity at t = 4 is ds/dt at that time-frame:
Now, v = ds/dt = 6t -4
Now, v(4) = 6(4) - 4 = 20 ms⁻¹
The average velocity of the particle in the time interval between 3s and 5s is 20 ms⁻¹ and its instantaneous velocity at 4s is 20 ms⁻¹.
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Answer:
<h2>y + 3 = -6(x + 9) - point-slope form</h2><h2>y = -6x - 57 - slope-intercept form</h2>
Step-by-step explanation:
The point-slope form of an equation of a line:
<em>m</em><em> - slope</em>
The formula of a slope:
========================================
We have the slope <em>m = -6</em> and the point (-9, -3).
Substitute:
Convert to the slope-intercept form (<em>y = mx + b</em>):
<em>use the distributive property</em>
<em>subtract 3 from both sides</em>
I’m pretty sure the correct answer is C 42
The shaded region has an area of 12 while the whole thing is 50 mutiply both by 2 to get the area of the shaded region and the whole thing by 100 After that subtract 24 from 100 and you get a 76 percent chance that you will randomly select an area in that box that isn't shaded.
