Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows
From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes
Factorize
3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer:
Step-by-step explanation:
= x²(-3 +5) +y²(2 -3) +5xy -2y
= 2x² -y² +5xy -2y
a) there are 4 terms in the simplified expression
b) 2 terms have negative coefficients (-y² and -2y)
There are 514 gram rice in each container.
Step-by-step explanation:
Given,
Amount of rice = 6 kg
1 kg = 1000 g
6 kg = 6*1000 = 6000 g
Number of containers = 10
Rice left = 860 g
Let,
x be the amount in each container.
Total amount of rice - Number of containers*Amount in each container = Amount of rice left
Dividing both sides by 10
There are 514 gram rice in each container.
Keywords: linear equation, division
Learn more about division at:
#LearnwithBrainly
Because ΔQRS is congruent to <span>ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6
</span><span>
</span><span>Work:
</span>3v + 2 = 7v - 6
+6 +6
3v + 8=7v
-3v -3v
<u>8</u> = <span><u>4v</u>
</span>4 4
2 = v
3(2) + 2 = GS
6+2 = GS
8 = GS
7(2) - 6 = TV
14-6=TV
8 = TV
Final Answer: 8=QS and 8=TV
Answer:
c) 82
Step-by-step explanation:
<ABE and <BEC are supplementary because they form a line.
<ABE + <BEC = 180
116+ x = 180
Subtract 116 from each side.
116-116+x = 180 -116
x = 64
The angles in triangle ECB add to 180 because it is a triangle
<BEC + <ECB + <CBE = 180
x + 34+y = 180
64 + 34+ y = 180
98 + y = 180
Subtract 98 from each side.
98-98+y = 180-98
y = 82
