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4 years ago

For what value of x is the rational expression below equal to zero?

Mathematics

2 answers:

slavikrds [6]4 years ago

7 0

The answer is A .. A. 4

sergeinik [125]4 years ago

4 0

Answer:

$\boxed{\textsf{ The value of x is \textbf{4}.}}$

Step-by-step explanation:

For complete solution kindly refer to the attachment .

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The sum of n and five

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n + 5

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4 years ago

The steps for deriving the Quadratic Formula are shown. Which is the BEST choice for the missing reason?

Over [174]

Answer:

A) Factor

Step-by-step explanation:

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3 years ago

The XYZ company is seeing its value declining at a rate of 3.2% per year. If the current value is $2,300,000, what will the valu

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4 years ago

Which transformation of AB will produce a line segment A'B' that is parallel to AB?

lyudmila [28]

Options:

Rotation of 180° about point B

Rotation of 90° about point b

Reflection over the x-axis

Translation down 2 units

Answer:

Rotation of 180° about point B

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. $B = (x,y)$

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

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

Where

$(x_1,y_1) = (0,0)$ --- origin

$(x_2,y_2) = (x,y)$

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

$m = \frac{y - 0}{x - 0}$

$m = \frac{y}{x}$

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

$B' = (-x,-y)$

Taking the slope of B'

The slope of B is:

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

Where

$(x_1,y_1) = (0,0)$ --- origin

$(x_2,y_2) = (-x,-y)$

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

$m = \frac{-y - 0}{-x - 0}$

$m = \frac{-y}{-x}$

$m = \frac{y}{x}$

Notice that the slope of B and B' is the same;

$m = \frac{y}{x}$

Hence:

Rotation of 180° about point B answers the question

There's no need to check for other options

8 0

3 years ago

The measure of ABD is (0.18x + 67) degrees and the measure of CBD is (0.07 + 48) degrees. Find the value of X

LUCKY_DIMON [66]

Answer:

See Explanation

Step-by-step explanation:

Given

$ABD = 0.18x +67$

$CBD = 0.07x + 48$

Required

Find x

The question is incomplete as the relationship between ABD and CBD is not stated.

Assume ABD = CBD

The solution is:

$0.18x + 67 = 0.07x + 48$

Collect like terms

$0.18x - 0.07x= - 67 + 48$

$0.11x= -19$

Solve for x

$x = -\frac{19}{0.11}$

$x = -172.72$

Assume ABD and CBD are supplementary

The solution is:

$ABD + CBD=180$

$0.18x + 67 + 0.07x + 48 = 180$

Collect like terms

$0.18x + 0.07x = - 48 - 67 + 180$

$0.25x = 65$

Solve for x

$x = \frac{65}{0.25}$

$x = 260$

Assume ABD and CBD are complementary

The solution is:

$ABD + CBD=90$

$0.18x + 67 + 0.07x + 48 = 90$

Collect like terms

$0.18x + 0.07x = - 48 - 67 + 90$

$0.25x = -25$

Solve for x

$x = \frac{-25}{0.25}$

$x = -100$

3 0

3 years ago