How can b^2+9b+14 be re-written?1) (b+7) (b-7)
2) (b-7) (b-2)
3) (b+7) (b-2)
4) (b+7) (b+2)

Answer:

Step-by-step explanation:

On A.- Multiplication property of equality is multiplying both sides of an equation by the same number it does not change the equation.

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On B. - Division property of equality is dividing both sides of an equation by the same non-zero number it does not change the equation.

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On C.- Subtraction property of equality is subtracting the same number from both sides of an equation it does not change the equation.

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On D.- Addition property of equality is adding the same number to both sides of an equation it does not change the equation.

x-6=14

First you had to add by six from both sides of an equation form.

x-6+6=14+6

Then simplify by equation.

x=20

Final answer:

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Hope this helps!

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-Charlie

Answer:

Square area =c²

64=c²

c=√64 = 8m

we calculate the diagonal

d²=8²+8²

d²=128

d= √128 = 8√2 exact value

Step-by-step explanation:

For n=2,

put the value 2 in the above equation we get 525*2=1050°.

1050° angle takes 2 complete revolution and then makes an angle of 330° which will fall in the negative portion of y-axis.

For n=6,

put the value 6 in the above equation we get 525*6=3150°.

3150° angle takes 8 complete revolution and then makes an angle of 270° which will fall along negative y-axis.

The value of n that causes the y-component of the terminal side to be negative is n = 2.

For which value of n the terminal side has a negative y-value?

We know that for a polar point with coordinates of (R, θ), the rectangular coordinates of an equivalent point are:

x = R*cos(θ)

y = R*sin(θ)

In this case, R does not matter, because it is always positive. We want to have a negative value of y, so we want:

y = sin(θ) < 0.

where θ = (525n)°

So we can check for different values of n, and see which one gives a negative sine:

n = 2

sin(525*2°) = -0.5

So for the first value that we tried, we found the correct option. Then we conclude the correct option is A.

If you want to learn more about the sine function:

brainly.com/question/6904750

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Answer:

line g has a slope of 4 also

A. y = -4x - 14

B. y = 4x + 14

C. y = 1/4x = 1/14

D. y = 14x = 4

Step-by-step explanation:

Answer:

• slope = 3/2
• y-intercept = 3
• x-intercept = -2

Step-by-step explanation:

The slope is the coefficient of x when the equation is of the form ...

  y = (something).

Here, we can put the equation in that form by subtracting 12x and dividing by the coefficient of y:

  12x -8y = -24 . . . . . given

  -8y = -12x -24 . . . . .subtract 12x

  y = 3/2x +3 . . . . . . . divide by -8

This is the "slope-intercept" form of the equation. Generically, it is written ...

  y = mx + b . . . . . . where m is the slope and b is the y-intercept

So, the above equation answers two of your questions:

  slope = 3/2

  y-intercept = 3

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The x-intercept is found fairly easily from the original equation by setting y=0:

  12x = -24

  x = -24/12 = -2 . . . . . the x-intercept

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A graph of the equation can also show you these things. The graph shows a rise of 3 units for a run of 2, so the slope is rise/run = 3/2. The line crosses the axes at x=-2 and y=3, the intercepts.