Answer:
5.25
Step-by-step explanation:
Take the distance between the two points and divide by 2.
The distance between the two is 10.5 (9.1-(-1.4))
Divide by two to find the midpoint.
Answer:
The value of
:

Step-by-step explanation:
Find the value of
:

-Add both sides by
:


-Subtract both sides by
:


Divide both sides by
:


So, the final answer would be
.
Answer:
One number is 561
The other number is 23.6854
Step-by-step explanation:
x = y^2 One number = the square of another
x + y^2 = 1122 The sum of the two numbers is 1122
Substitute y^2 in for x on the second equation.
y^2 + y^2 = 1122 Combine like terms on the left
2y^2 = 1122 Divide by 2
y^2 = 1122/2
y^2 = 561 Take the square root of both sides.
y = 23.6854
x = y^2
x = 561
y^2 = 561
A LmN > ; mqp by sas is the right answer
It's going to be kind of crazy, but you need to use Pythagorean's Theorem for this. That will look like this:

. FOIL out the left side to get

. FOIL out the first of the 2 expressions on the right to get

, and the second of the 2 to get 4x. Our equation now looks like this:

. Combine like terms to get an equation that still has square roots in it that we have to deal with:

and

. We will square both sides to get rid of the square root sign.

. This is a polynomial now that can be factored to solve for x. Bring the 2x over by subtraction and set the polynomial equal to 0.

. Factor out an x, leaving us with x(x-2)=0. That means that x = 0 or x - 2 = 0 and x = 2. Of course if we are solving for the length of a side we know it can't have a side length of 0, so it must have a side length that is a multiple of 2. x = 2