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3 years ago

14

What is the solution to 2(-4x+1)=2/3(x+2)

1 answer:

Rzqust [24]3 years ago

8 0

Hello!

The answer to your problem is: $x=1/13$

<u>Simplify both sides of the equation</u>

$(2)(-4x)+(2)(1)=(2/3)(x)+(2/3)(2)$ $(Distribute)$

$-8x+2=2/3x+4/3$

<u>Subtract 2/3x from both sides</u>

$-8x+2-2/3x=2/3+4/3-2/3x$

$-26x+2=4/3$

<u>Subtract 2 from both sides</u>

$-26/3x+2-2=4/3-2$

$-26/3=-2/3$

<u>Multiply both sides by 3/(-26)</u>

$(3/26)*(-26/3x)=(3/-26)*(-2/3)$

<u>Get your answer</u>

$x=1/13$

Hope This Helps!

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3 years ago

a 28 ft. ladder leaning against a vertical wall makes an angel of 80 degrees with the ground. How far from the base of the wall

worty [1.4K]

Answer:

The ladder is 4.86 foot from the base of the wall .

Step-by-step explanation:

Given as :

The length of the ladder = 28 ft

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Now, From Triangle BAC

Cos angle = $\dfrac{\textrm Base}{\textrm Hypotenuse}$

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2 years ago

Write (1/3i)-(-6+2/3i) as a complex number in standard form

Eddi Din [679]

Answer:

$6+\frac{i}{3}$

Step-by-step explanation:

$\frac{1}{3\imath}-(-6+\frac{2}{3\imath})$

$\frac{1}{3\imath}+6-\frac{2}{3\imath}$

taking like terms together

$\frac{1}{3\imath}-\frac{2}{3\imath}+6$

taking LCM

$\frac{1-2}{3\imath}+6$

$\frac{-1}{3\imath}+6$

taking LCM

$\frac{-1+18\imath}{3\imath}$

splitting the term

$\frac{-1+18\imath}{3\imath}$

splitting the term

$-\frac{1}{3\imath}+\frac{18\imath}{3\imath}$

$-\frac{1\times3\imath}{3\imath \times \imath}+6$

$-\frac{i}{3\imath^2}+6$

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$\imath^2=-1$

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3 years ago

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Answer:

D

Step-by-step explanation:

The answer is point D(-2,1).

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2. If point (-2,-1) was reflected over the x-axis, then its coordinates became (-2,1).

3. If the point (-2,1) was moved 4 units to the right, then its coordinates became (2,1).

4. If point (2,1) was reflected over y-axis, its coordinates became (-2,1).

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3 years ago