Answer:
2/5
Step-by-step explanation:
You could still divide by 2
<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
<u>ANSWER</u>
A. (4,12)
<u>EXPLANATION</u>
The equations are:

and

To eliminate a variable we make the coefficients of that variable the same in both equations.
It is easier to eliminate x.
We multiply the first equation by 2 to get:

We add equations (2) and (3).


Divide both sides by 23


Put x=4 into equation (1).






The solution is (4,12)
For a parallelogram, the area is calculated by the equation,
A = bh
where A is area, b is base, and h is height. From this equation, we can solve for the base of the banner by dividing the area by the height.
base of the banner = 127.5 cm² / 4.25 cm
base of the banner = 30 cm
Thus, the measure of the base of the banner is equal to 30 cm.