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3 years ago

Factor each expression: 2x + 12

Mathematics

1 answer:

mr Goodwill [35]3 years ago

3 0

$2x + 12 \\ \\ GCF = 2 \\ \\ 2( \frac{2x}{2} + \frac{12}{2} ) \\ \\ 2(x + 6) \\ \\$

The final result is: 2(x + 6).

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Adam has sticks of the following lengths: (3x+4) (2x+10) (x+12)cm

gladu [14]

Option I
(3x+4)cm =(2x+10)cm
3x-2x=6
x=6
Option II
(3x+4)= (x+12)
3x-x=12-4
2x=8
x=4
Option III
(2x+10)= (x+12)
2x-x=12-10
x=2

3 0

4 years ago

Read 2 more answers

What is the modulus and argument after (StartRoot 3 EndRoot) (cosine (StartFraction pi Over 18 EndFraction) + I sine (StartFract

fgiga [73]

Answer:

$|z| = 27$ -- Modulus

$\theta = \frac{\pi}{3}$ --- Argument

Step-by-step explanation:

Given

$((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Required

Determine the modulus and the argument

We have that:

$z = ((\sqrt 3)(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18}))^6$

Expand:

$z = (\sqrt 3)^6(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$

A complex equation can be expressed as:

$z = |z| e^{i\theta}$

Where

$|z| = modulus$

$\theta = argument$

Where

$e^{i\theta} = (cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})$

So:

$z = 27(cos\frac{\pi}{18} + i\ sin\frac{\pi}{18})^6$ becomes

$z = 27(e^{i\frac{\pi}{18}})^6$

By comparison:

$e^{i\theta} = (e^{i\frac{\pi}{18}})^6$

This gives:

${i\theta} = i\frac{\pi}{18}}*6$

${i\theta} = i\frac{6\pi}{18}}$

${i\theta} = i\frac{\pi}{3}}$

Divide through by i

$\theta = \frac{\pi}{3}$

Hence, the modulus, z is:

$|z| = 27$

And the argument $\theta$ is

$\theta = \frac{\pi}{3}$

4 0

3 years ago

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Lorico [155]

Answer:

When a line has a slope of 1/3, it means it's going up 1 unit and to the right 3 units.

(Remember rise/run; in which rise is movement up or down, and run is movement left or right. )

Here's an example graphed above for you⤴⤴⤴

Hope this helps you :)

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3 years ago

Find 1112+(−712)1112+(−712). Write your answer as a fraction in simplest form.

Julli [10]

I got -791344 or -791344/1

6 0

4 years ago

Read 2 more answers

Write an equation that represents the line use exact numbers

RSB [31]

Answer:

y = (-6/7)x - 1

Step-by-step explanation:

There's a dot where this line crosses the y-axis; it's represented by the point (0, -1). Consequently, the y-intercept, b, of this line is -1.

As x increases from -6 to 0, y decreases from 7 to -1. The change in x is 7 units and the change in y is -6 units. Thus, the slope of this line is

m = rise / run = -6 / 7.

Again, the y-intercept is b = -1.

Thus, inserting the knowns into the slope-intercept form of the equation of a straight line results in:

y = (-6/7)x - 1

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3 years ago