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3 years ago

Factor completely 2c5 + 44c4 + 242c3. 2c3(c + 11)2 2(c + 11)2 2c3(c + 11)(c − 11) 2c3(c2 + 22c + 121)

Mathematics

2 answers:

Galina-37 [17]3 years ago

6 0

Answer:

2c^3(c+11)^2

Step-by-step explanation:

2c^5 + 44c^4 + 242c^3

Factor out the greatest common factor

2c^3(c^2+22c+121)

Recognizing inside the parentheses is (a+b) ^2 where a =c and b = 11

2c^3(c+11)^2

guajiro [1.7K]3 years ago

3 0

Answer:

2c^3(c+11)^2

Step-by-step explanation:

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Sonbull [250]

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3 years ago

Line FG goes through the points (4,9) and (1,3). Which equation represents a line that is perpendicular to FG and passes through

stiks02 [169]

Answer:

$x + 2y= 2$

Step-by-step explanation:

Given

Points:

$F = (4,9)$

$G = (1,3)$

Required

Determine the equation of line that is perpendicular to the given points and that pass through $(2,0)$

First, we need to determine the slope, m of FG

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

Where

$F = (4,9)$ --- $(x_1,y_1)$

$G = (1,3)$ --- $(x_2,y_2)$

$m = \frac{3 - 9}{1 - 4}$

$m = \frac{- 6}{- 3}$

$m =2$

The question says the line is perpendicular to FG.

Next, we determine the slope (m2) of the perpendicular line using:

$m_2 = -\frac{1}{m}$

$m_2 = -\frac{1}{2}$

The equation of the line is then calculated as:

$y - y_1 = m_2(x - x_1)$

Where

$m_2 = -\frac{1}{2}$

$(x_1,y_1) = (2,0)$

$y - 0 = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}(x - 2)$

$y = -\frac{1}{2}x + 1$

Multiply through by 2

$2y = -x + 2$

Add x to both sides

$x + 2y= -x +x+ 2$

$x + 2y= 2$

Hence, the line of the equation is $x + 2y= 2$

8 0

3 years ago

Read 2 more answers

Solve the system of equations 2x+4y+3z=6 5x+8y+6z=4

MaRussiya [10]

Answer:Solution :

{x,y,z} = {-8,52/7,-18/7}

System of Linear Equations entered :

[1] 2x + 4y + 3z = 6

[2] 5x + 8y + 6z = 4

[3] 4x + 5y + 2z = 0

Solve by Substitution :

// Solve equation [3] for the variable z

[3] 2z = -4x - 5y

[3] z = -2x - 5y/2

// Plug this in for variable z in equation [1]

[1] 2x + 4y + 3•(-2x-5y/2) = 6

[1] -4x - 7y/2 = 6

[1] -8x - 7y = 12

// Plug this in for variable z in equation [2]

[2] 5x + 8y + 6•(-2x-5y/2) = 4

[2] -7x - 7y = 4

// Solve equation [2] for the variable y

[2] 7y = -7x - 4

[2] y = -x - 4/7

// Plug this in for variable y in equation [1]

[1] -8x - 7•(-x -4/7) = 12

[1] -x = 8

// Solve equation [1] for the variable x

[1] x = - 8

// By now we know this much :

x = -8

y = -x-4/7

z = -2x-5y/2

// Use the x value to solve for y

y = -(-8)-4/7 = 52/7

// Use the x and y values to solve for z

z = -2(-8)-(5/2)(52/7) = -18/7

Solution :

{x,y,z} = {-8,52/7,-18/7}

Step-by-step explanation:

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3 years ago

What else would need to be congruent to show that abc def by aas

Brut [27]

Answer:

your answer is c

Step-by-step explanation:

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3 years ago

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Rewrite 4/10:1/25 as a unit rate

nata0808 [166]

It's 10. I hope this helps!

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3 years ago

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