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Sergeeva-Olga [200]
2 years ago
12

Find the value of :[5x+y+z][5x+y+z][5x+y+z]

Mathematics
1 answer:
KIM [24]2 years ago
6 0

Answer:

Step-by-step explanation:

(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc

a = 5a  ;  b =y   ; c = z

(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³

= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z

= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz

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Find the slope and y intercept <br> (Please show work)
zepelin [54]

Answer:

slope = - 6, y- intercept = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

0 = 2x - \frac{5}{3} + \frac{1}{3} y ( multiply through by 3 to clear the fractions )

0 = 6x - 5 + y ( subtract 6x - 5 from both sides )

- 6x + 5 = y , that is

y = - 6x + 5 ← in slope- intercept form

with slope m = - 6 and y- intercept c = 5

4 0
2 years ago
What are the steps to find (2+2i)(5+3i)?
WITCHER [35]

(2+2i)(5+3i)
10+6i+10i+6i^2
10+16i+6(-1)
4+16i
When you have an “i^2”, you also have a negative one. The simplified answer is 4+16i
6 0
2 years ago
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The relationship between a distance in yards (y) and the same distance in miles (m) is described by the equation y=1760m.
Vanyuwa [196]

Answer:

Step-by-step explanation:Introducing Graphs of Proportional Relationships ... The table represents the relationship between a length measured in meters and ... Find the constant of proportionality and write an equation to represent the relationship. ... in yards (y) and the same distance in miles (m) is described by the equation y=1760m.

5 0
3 years ago
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The formula in finding the area of a circle can be derived usin the perimeter of a rectangle
Alex777 [14]

Yes absolutely as if you just take a circle and break the circle from the centre point into pieces such that the no

of pieces formed is infinite and and then when you take the pieces of the circle and arrange them in the form of rectangle then the area of the rectangle obviously equal to the area of circles.For better understanding I had attached a picture with the answer

Hope it helps

4 0
3 years ago
Find the value of x.<br> 5x (x+24)
nlexa [21]

Answer:

5x^2+120x

Step-by-step explanation:

5x(x+24)

Step 1: Use distributive property to expand the expression. Multiply 5x separately  with all the terms inside the bracket.

Step 2: 5x(x) = 5x^2

5x(24) = 120x

Answer: 5x^2+120x

Note: If you need to further solve it, you can factor it.

To Factor;

5x^2+120x

Step 1: Factor out the common: 5x

Step 2: 5x times x = x^2

            5x times 24 = 120x

Therefore,

Factored answer: 5x(x+24)

Hope this helps.

8 0
2 years ago
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