The partial products are:
C. 7x40=280
D. 50x4=200
remember that when multiplying indices, you add the powers. When dividing indices, remember that you subtract the powers. When taking the power of a number which has already been raised to a power, you must multiply the values of these powers. Any value raised to the power of 0 is equal to 1.
Take 60 and divide it by 10. the answer is 6
Since J is the midpoint of HK, that means HK is split into two sections HJ and JK that are the same length.
1) You are told that the m<span>easure of segment HJ = 9x-2 and that of segment JK = 4x+13. Since you also know they are equal lengths, you can set these equations equal to each other to find the value of x!
HJ = JK
</span>9x-2 = 4x+13
5x = 15
x = 3
2) Now you know x = 3. Plug that into your given equations for HJ and JK to find the length of each segment (or a shortcut would be to find one of them, and then you also know the other is the same length. I'm doing both, just to make sure I don't make a silly mistake!):
HJ = <span>9x-2
</span>HJ = 9(3) - 2
HJ = 27 - 2
HJ = 25
JK = 4x + 13
JK = 4(3) + 13
JK = 12 + 13
JK = 25
3) Finally, the length of HK is just the length of HJ + JK, or HK = 25 + 25 = 50.
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Answer: HJ = 25, JK = 25, HK = 50
Let length of base be x and breadth of base be y
2x + 2y = 28
x + y = 14
y = 14 - x
Volume of box
= 5xy
= 5x (14 - x)
= 70x - 5x^2