Answer:
240 m
Step-by-step explanation:
Figure is attached.
The distance the particle travels is the area under the v-t graph over the time interval from 0 min to 4 min. The reason you can't just multiply velocity by time is that the velocity is changing at a constant rate over the given time interval (the line is going upward--the particls is speeding up).
What's the area under the graph?
The red outline forms a trapezoid. The area of a trapezoid is 
where the <em>b</em>'s are the lengths of the two parallel base and <em>h</em> is the height (the distance between the bases).
Reading the graph carefully (notice the scales!)...
Because it is the same by the 0 and the 0 represents as a place holder for the 32
Answer:
y-4=-7(x-3) and y=-3/8x-8
Step-by-step explanation:
Point slope form: y-y1=m(x-x1)
the slope is already -7.
We can the just plug in the values: y-4=-7(x-3)
For the 2nd problem we can plug in values as well: -2=3/8(16)+b.
-2=6+b. the y intercept is -8. The final form is y=-3/8x-8
Answer:
D. 5267
Step-by-step explanation:
In the triangle XY and XZ are tangent to circle C. This means that the length has of XY and XZ are congruent.
So first you have to set the equations to each other to find what b equals to.
85b+83=91b-283
Add 283 to both sides
85b+366=91b
Subtract 85b on both sides
366=6b
Divide by 6
B=61.
Then you substitute 61 as b in the equation for XY.
85b+83
85(61)+83
5185+83
5268
