Substitute the value of y into the second equation
y = 14x - 6
y = -4x + 48
14x - 6 = -4x + 48
add 6 to both sides
14x = -4x + 54
add 4x to both sides
18x = 54
divide both sides by 18
x = 3
The option is B.) x = 3
Hope this helps!
It is 52. Here is why...
<span>5 + 6 x 3 + (7 - 3) x (16 divided by 2) - 3
</span>= 5+18+4 <span>x 8-3
=5+18+ 32-3
=23+32-3
=55-3
=52
If you have any more question,please feel free to ask me. ;)</span>
Answer:
9 weeks.
Step-by-step explanation:
First, find how many dollars Navid needs to save.
288-72= 216
Then, divide how much money that is needed by the number of dollars that are saved per week.
216/24= 9
Then tie it up into an equation:
(288-72)/24= x
x=9
Answer:
about 17 meters
Step-by-step explanation:
We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.
The Pythagorean theorem relates these distances this way:
b^2 + d^2 = (d+e)^2
Expanding the square on the right, we can simplify the expression to find b.
b^2 = (d^2 +2de +e^2) -d^2
b^2 = e(2d +e)
b = √(e(2d +e))
Using lengths in meters, we can fill this in to calculate b.
b = √(.06(2·2500 +.06)) = √300.0036
b ≈ 17.32 . . . . meters
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<em>Comment on this solution</em>
We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.
The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.
If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.
Multiply the 2 into the ax and b, and then moving the c over and changing it's sign
hope this helps
