X+y=31.5
x-y=5.25
add 2 equations
x+y+x-y=31.5+5.25
2x=36.75
x=18.375
y=31.5-18.375=13.125
check : 18.375+13.125=31.5, 18.375-13.125=5.25
so
Answer:
18.375 and 13.125
We will have to use the formula for the area of a trapezoid on this problem, which is (
and
are the bases of the trapezoid and
is the height):

All we need to do is substitute the information we are given into our formula:

Now, let's just simplify the equation:




The missing base has a length of 13 units.
Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = 
Where,
is the coefficient of 
is the coefficient of 
From our equation given,
and 
Now,
coordinate of vertex is 
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:

Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
Answer:
x=3, y=-2, z=1
Step-by-step explanation:
I solved by substitution