Answer:4
Step-by-step explanation:
P(2)
(2)
4
−3(2)
2
+k(2)−2
16−3⋅4+2k−2
2+2k
2k
k
=10
=10
=10
=10
=8
=4
Answer:
C. x = 18, y = 9
Step-by-step explanation:
In a 30-60-90 triangle,
longer leg =
(shorter leg)
hypontenuse = 2(shorter leg)
In your case, the shorter leg = 9
therefore, y = 9
and x = 2(9) = 18
The surface area of the box will be 112 in²
Explanation
According to the given diagram, the shape of the box is Right Rectangular prism.
The formula for the surface area is :
, where
length,
width and
height of the rectangular prism
Given in the diagram that, 
So, plugging the values into the formula...

So, the surface area of the box is 112 in²
In order to subtract mixed fractions, we must convert them into improper fractions first. To do this simply multiply the whole number by the denominator and add the numerator. The product of this operation will be the new numerator (the whole number is no longer present).
(56 + 7)/8 - (12 + 1)/4
= 63/8 - 13/4
Now that we have our fractions in improper form, we must find the least common denominator which is 8. To avoid changing the value of the second fraction, multiply both the numerator and denominator by 2 (which is essentially 2/2 which equals to 1).
63/8 - 26/8
= 37/8