Answer:
The length of diagonal TU is 102 units
Step-by-step explanation:
Mathematically, the diagonals of a parallelogram bisect each other
This means that the lengths on either of the either of the sides are equal
Mathematically, we have it that;
7x + 2 = 6x + 9
7x - 6x = 9-2
x = 7
The diagonal TU has the measure of ;
(7x + 2) + (6x + 9)
7x + 6x + 2 + 9
= 13x + 11
substituting the value of x, we have
13(7) + 11
= 102
Hey there!!
Slope-intercept form : y = mx + b
Equation given : y = kx + b
Hence, we know k = slope and b is the y-intercept
How, do we find slope?
Formula : 
We have got two co-ordinates : ( 2 , 10 ) and ( -7 , -10 )
Plugging in the values : 
Simplifying it : 
Hence, the slope we got is : 
Now, lets plug in this value in the equation y = kx + b
k is 20/9
Plugging in :
... 
Now let's take a co-ordinate and plug it in...
... 
... 
... 
... y-intercept is 50.
Now, let's get the whole equation in place...
... 
Hope my answer helps!!
x^2 + 4x + 4 is the perfect square of (x + 2)
so x^2 + 4x + 4 = (x+2)^2
Substitute x^2 + 4x + 4 with (x+2)^2 in the equations:
(x + 2)^2 = 25
Notice that 25 is also the perfect square of 5 so 5^2 = 25
Substitue 25 with 5^2 in the equation:
(x + 2)^2 = 5^2
Since both sides of the equation are being squared, we can square root both sides, and since we re doing this to both sides, both sides are still equal and the equation still holds true

This results in:
+-(x + 2) = +- 5
This means the 5 can be either postivie or negative, so there are 2 sollutions:
x + 2 = 5 x + 2 = -5
x = 3 x = -7
Its 3 or -7 so you must ve copied the wrong possible answers