Answer:
( z - 5 ) ( z - 5 )
Step-by-step explanation:
z² − 10z + 25
= z² − 5z - 5z + 25
= z ( z - 5 ) - 5 ( z - 5 )
= ( z - 5 ) ( z - 5 )
Part A:
Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4
The perimeter of the square is given by 4(x + 4) = 4x + 16
The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12
For the perimeters to be the same
4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2
The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.
Part B:
The area of the square is given by

The area of the rectangle is given by 2(3x + 4) = 6x + 8
For the areas to be the same

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>
<h2>
Answer: He can make <u><em>
24</em></u>
mats.</h2>
Step-by-step explanation:
10 yards is equal to 360 inches. If you divided 360 inches by 15 inches, the answer will be 24. So the answer is 24 mats.
Find Atlas weekly pay by multiplying rate by hours:
15.20 x 34 = 516.80 a week.
Now to find Apri’s rate divide the weekly pay by hours:
516.80 / 38 =$13.60 per hour
Answer:
Step-by-step explanation:
Given

comparing it with standard equation 
so 4a=1

so Focus of parabola is (0,0)
directrix
y=-a
here 