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Anni [7]
3 years ago
6

If a+b=2 find the value of a3+b3+6ab

Mathematics
1 answer:
mars1129 [50]3 years ago
7 0

Answer:

Step-by-step explanation:

Factor the sum of cubes

a³ + b³ = (a+b)(a² - ab +b²)

= 2a² - 2ab + 2b²

a³ + b³ + 6ab = 2a² + 4ab + 2b²

= 2(a² + 2ab +b²)

= 2(a+b)²

= 8

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Which equation represents a line perpendicular to the line shown on the graph?
Vadim26 [7]

Answer:

See description below.

Step-by-step explanation:

To choose the correct equation, find the slope of the line on the graph. Identify two points on the line. Then subtract to find their rate of change using the slope formula.

m=\frac{y_2-y_1}{x_2-x_1}

When you know the slope, find the negative reciprocal. For example, if the slope is 2/1 then the negative reciprocal is -1/2. This is the slope of a perpendicular line to a line with slope 2. Choose the equation which has this same slope.

Example:

y = 2x -1

y= -1/2 +5

4 0
3 years ago
What is the variable for 49n+986=-43?
tankabanditka [31]

Answer:

according to another user on Brainly the variable is n=-21

Step-by-step explanation:

subtract 986 from both sides first.why? Because that is that is going to isolate the variable.

hope this helps! :)

4 0
2 years ago
Round to the nearest hundredth (Geometric Series problem)
WITCHER [35]

Answer:

15.98

Step-by-step explanation:

∑₁¹⁰ 8(\frac{1}{4} )^{n-1}

=8[1+\frac{1}{4} +\frac{1}{16} + ........ +t_{10}]

We have to use the formula of sum of a G.P. series with common ratio r < 1.

If the first term is a, the common ratio is r and the number of terms is n then the sum [a + ar + ar² + ar³ + ......... up to n terms] is given by  

[a \times\frac{1-r^{n} }{1-r}]

= 8[1 \times \frac{1-\frac{1}{2^{10} } }{1-\frac{1}{2} } ]

= 15.98 (Answer)

4 0
3 years ago
Which equation is correct regarding the diagram of circle O? m∠XZY = (a + b) m∠XZY = (a – b) m∠XOY = (a + b) m∠XOY = (a – b)
4vir4ik [10]

Answer: (B) m∠XZY = 1/2(a - b)

Hope that helps you

3 0
3 years ago
Read 2 more answers
3q + 3j <br>if q= 7 and j = 4​
Flura [38]

Answer:

33

Step-by-step explanation:

3q + 3j

if q= 7 and j = 4​

3(7) + 3(4) = 21 + 12 = 33

7 0
3 years ago
Read 2 more answers
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