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3 years ago

8

Explain how the GCF is used to factor an expression?

1 answer:

scoundrel [369]3 years ago

6 0

When factoring, it's easier to "pick out" the GCF first because it makes it simpler to factor even further. Otherwise, you will be troubled with lots of numbers and variables, so it will just get confusing.

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Due 10/3/18. Pls help. Thank you

irinina [24]

1. 875
2. 1066
3. 129 - 136
4. 22°F
5. -148°F
6. 1 dollar

7 0

4 years ago

Find the equation of a line, in slope-intercept form of a line that passes through the point (9, 2) and is perpendicular to the

11Alexandr11 [23.1K]

Answer:

The equation of the line would be y = -1/2x + 13/2

Step-by-step explanation:

In order to get the slope of the line, you need to first find the slope of the original line. You do this by solving for y.

2x - y = 8

-y = -2x + 8

y = 2x - 8

Now that you have the slope, we take the opposite and reciprocal slope to be the perpendicular (based on the definition of perpendicular lines). This means we take the opposite of 2 (which is -2) and then we flip the term (which means -2 becomes -1/2).

To find the slope-intercept form, we'll use our new slope of -1/2 and a point in point-slope form and solve for y.

y - y1 = m(x - x1)

y - 2 = -1/2(x - 9)

y - 2 = -1/2x + 9/2

y = -1/2x + 13/2

4 0

3 years ago

Read 2 more answers

Identify the values of the variables. Give your answers in the simplest radical form.

Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

$sin(60) = \frac{9}{k}$

Multiply both sides by k

$k*sin(60) = 9$

Divide both sides by sin(60)

$k = \frac{9}{sin(60)}$

$k = \frac{9}{\frac{\sqrt{3}}{2}}$

$k = 9*\frac{2}{\sqrt{3}}$

$k = \frac{18}{\sqrt{3}}$

Rationalize

$k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{18\sqrt{3}}{3}$

$k = 6\sqrt{3}$

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

$tan(60) = \frac{9}{f}$

Multiply both sides by f

$f*tan(60) = 9$

Divide both sides by tan(60)

$f = \frac{9}{tan(60)}$

$k = \frac{9}{\sqrt{3}}$

Rationalize

$k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}$

$k = \frac{9\sqrt{3}}{3}$

$k = 3\sqrt{3}$

8 0

3 years ago

Pls help me give u a brainlest

Ksivusya [100]

Answer:

1. 3375 ft cubed

2. 200 cm cubed

Step-by-step explanation:

btw in the image the shapes are not drawn to scale

:D brainliest?

4 0

3 years ago

Read 2 more answers

I need help to solve this and also Hearn will the bacteria be over 100,000

lapo4ka [179]

Hello! Let's look at the two parts of this question.

Complete the table:

In this case, you just substitute the value of "hour" into the equation, for the value of t. For example:

P(0) = 120 $(2)^{0}$

P(0) = 120 (1)

P(0) = 120

Therefore, the number of bacteria for hour 0 is 120.

You can do this for the next ones. Hour 1 = 240, hour 2 = 480, and so on. (In this case, you can keep multiplying by 2)

Estimate when there will be more than 100,000 bacteria:

Set the final value of P(t) = 100,000, then solve.

100,000 = 120 (2 $)^{t}$

833.33 = (2 $)^{t}$

t = $log_{2}833.33$

t = 9.702744108

So your answer would be around 9.7 years, or, around 10 years.

Hope this helps!

3 0

3 years ago