Answer:
TQ = 10
Step-by-step explanation:
The diagonal divides the square into 2 right triangles with the diagonal being the hypotenuse.
Using Pythagoras' identity in triangle TPQ
TQ² = PQ² + PT²
TQ² = 10² + 10² = 100 + 100 = 200 ( take square root of both sides )
TQ =
=
=
×
= 10
-sqrt(y) = -5
Multiply
each side by (-) negative sign: sqrt(y) = 5
Square each
side: y = 25
Answer: (C) 25
Answer:

Step-by-step explanation:
x² + 2x = 6
Subtract both sides by 6.
x² + 2x - 6 = 0
ax²+bx+c=0
a=1, b=2, and c=-6
We can apply the quadratic formula.

Plug in the values.

Evaluate.



You would move over the -2 making the equation look like this 4x>3x+7. Then move the 3x to the other side of the equation making it look like this 1x>7. Thus the answer is x>7.