Answer:
the answer is 5
Step-by-step explanation:
hope that helps
Answer:
The number is 2. :)
Step-by-step explanation:
4x + 2 = 2x + 6
-2 -2
4x = 2x + 4
-2x -2x
2x = 4
/2 /2
x = 2
Answer:
B
Step-by-step explanation:
dont need to know why
OOF no one answered in 4 days?! wow
According to HL theorem if one leg and hypotenuse of one right triangle are equal to one leg and hypotenuse of other right triangle, then the triangles are congruent.
By using this theorem we can set up the system of equations as follows:
x=y+1 ...(1)
2x+3= 3y + 3 ..(2)
By using equation (1) next step is to plug in y+1 for x in equation (2). So,
2 ( y + 1) + 3 = 3y + 3
2y + 2 + 3 = 3y + 3 By using distribution property.
2y + 5 = 3y + 3
2y + 5 - 5 = 3y + 3 - 5 Subtract 5 from each side.
2y = 3y - 2
2y - 3y = -2 Subtract 3y from each sides.
-y = -2
So, y=2
Next step is to plug in y=2 in equation (1) to get the value of x. Hence,
x= 2+1
=3
So, x=3 and y=2 make these triangles congruent.
So, the correct choice is 3. x = 3, y = 2.
ANSWER

EXPLANATION
The given rational function is

We need to rationalize the denominator by multiplying both the numerator and the denominator by the conjugate of

which is

When we rationalize we obtain:

The denominator is now a difference of two squares:

We apply this property to get


This simplifies to

Or
