Plug in 2 for your x, you'll get 2(2^2)+3, which becomes 2(4)+3, 8+3, 11.
<u>Answer:</u>
Height of cables = 23.75 meters
<u>Step-by-step explanation:</u>
We are given that the road is suspended from twin towers whose cables are parabolic in shape.
For this situation, imagine a graph where the x-axis represent the road surface and the point (0,0) represents the point that is on the road surface midway between the two towers.
Then draw a parabola having vertex at (0,0) and curving upwards on either side of the vertex at a distance of 
or 
, and y at 95.
We know that the equation of a parabola is in the form 
and here it passes through the point 
.
So new equation for parabola would be 
.
Now we have to find the height 
of the cable when 
.
y = 23.75 meters
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.
Answer:
The first one $1.42
Step-by-step explanation:
1.42x5=7.1 (cost of all envelopes)
12-7.1=4.9
4.9/14=0.35 (one postcard)
10 postcards= 3.5
1.42x15=21.3 (cost of all envelopes)
3.5+21.3=$24.80
Looks like the labeled angle is bisected, in which case we can apply the angle bisector theorem. For this triangle, it says
Solve for 
:
Then either 
or 
, but since is a length, it must be positive. So <em>x</em> = 2.
