Answer:
see below
Step-by-step explanation:
80 = 4* 20
2*2 2 * 10
2 *5
We are breaking the numbers into primes
2*2*2*2*5
If the diagonal is 32 than you will us
A^2 + b^2 = c^2
We will use the aspect ratio to find a common variable
4A = 3B
a = (3/4)B now plug it in
((3/4)B)^2 + b^2 = 32 (This is because c is the diagonal)
Now solve for B
B turns out to be 25.577 inches
Plug B in
A = (3/4)(25.577)
A = 19.18
Now add up ther perimeter A + A + B + B
19.18 + 19.18 + 25.577 + 25.577
89.6 inches
Answer:
x = 1.5
Step-by-step explanation:
2x^2 = 3x
divide whole eqn by x
2x = 3
x= 3/2 =1.5
Answer:
The line passes through (4, -7) and (5, -10).
Step-by-step explanation:
When x = 4, y = 5 - 3(4), or 5 - 12, or -7. Thus the point (4, -7) lies on the graph. Similarly y = 5 - 3(5) = -10 when x = 5. Thus, the line also goes through (5, -10). Plot these two points and draw a line through them. Doing this will result in the desired graph.
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.
