Step-by-step explanation:
x + y = 9. => 2x + 2y = 18.
2x + 2y = 18
- (2x - 3y = -12)
=> 5y = 30, y = 6.
Therefore x + (6) = 9, x = 3.
The solution is x = 3 and y = 6.
Answer:
Explanation given below.
Step-by-step explanation:
The first step is to put the parabola in the form
, which is the <em>standard form of a parabola</em>
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<u>Note:</u> a is the coefficient before x^2 term, b is the coefficient before x term, and c is the independent constant term
The axis of symmetry divides the parabola symmetrically. The axis of symmetry has the equation 
Where <em><u>a and b are the respective values shown above</u></em>
<em><u /></em>
So, that is how you get the axis of symmetry of any parabola.
XY = 17.
Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.
It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,

To solve this equation, square and add both of the terms on the right like this:

And then take the square root of both sides. Your final answer should be:
XY = 17.
The sum of 70, 73, and 65 is 208. Adding a 72 to that equation makes the sum 280. The mean then becomes 70. The answer is 72.
Here's the work:
Density = mass/volume = 129g/(5*3*2) cm^3 = 4.3 g/cm^3.