The answer is C. b=2.
I found the answer by first finding the slope. To find the slope i found the difference of the y values and divided that by the difference of the x values.
14-5/4-1
This simplifies down to:
9/3 which equals 3.
I then plugged this into the slope intercept form: y=mx+b to get y=3x+b
The next step would be to plug in the values of one of the points to solve for b. The point I choose was (1,5). By plugging this point into the equation i got 5=3(1)+b which simplifies to 5=3+b which means that b=2
First you start out with your equation:
-4x = -36
Using reverse operations, divide both sides by -4. Since you're dividing a negative by a negative, you get a positive answer.
x = 9
The area of this polygon 53
We know all these angles combined equals 360, so:
3x + 20 + 3x + 20 + x + x = 360
8x + 40 = 360
8x = 320
x = 40
Hope this helps!
Answer:
1 and 4 are correct. 2 and 3 are not.
Step-by-step explanation:
1.
When x = 0 where does the horse start?
y = 1.5*sin(0 + 0.5)*2*pi + 1.5
y = 1.5*sin(0.5*2pi) + 1.5
y = 1.5*sin(pi) + 1.5 But sin pi = 0
y = 0 + 1.5 So the horse is starting at the midpoint of it's travel.
2.
This one is a trick question. You can reason it without exact answers. At some point the sin(x + 0.5)*2pi will equal 1. When it does 1.5 * 1 + 1.5 = 3.0 At some other point sin(x + 0.5)*2pi = -1. When that happens the whole thing goes to 0. So the total of the distance traveled is 6 not three.
3.
You can figure this one out by letting x = 0.01 When it does then the value of the function is
y = 1.5*sin [(0.01 + 0.5)*2pi] + 1.5
y = 1.5*sin(0.51*2*pi) + 1.5
y = 1.5*sin(3.204424) + 1.5
y = 1.5*(- .0623) + 1.5
y = -0.9418 + 1.5
y = 1.4058 so it is going downward The value is getting smaller.
4.
The horse starts out in the middle of the pole. What does x need to equal so that x + 0.5 = 1 ? And why 1. The answer to why 1 is that then the sine function will equal sin(2*pi)
That happens when x = 0.5 which is 1/2 a minute. If it takes 1/2 a minute to execute 1 complete cycle, then in 5 minutes the cycle will be executed 10 times. This one is correct.
