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3 years ago

5

Rationalize the denominator. – 5x4 ✓4x +7

2 answers:

pychu [463]3 years ago

6 0

<h2>Answer: <u> (-5x⁴)(√(4x + 7)) </u></h2><h2> 4x + 7</h2>

<h3>Step-by-step explanation:</h3>

The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.

We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted (√x × √x = x).

<u> - 5x⁴ </u> × <u> √(4x + 7) </u> = <u> (-5x⁴)(√(4x + 7)) </u>

√(4x + 7) √(4x + 7) 4x + 7

I am Lyosha [343]3 years ago

3 0

Answer:

Step-by-step explanation:

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3 years ago

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eimsori [14]

Answer: Y intercept: 5 The slope of the line is: 2

Step-by-step explanation:

Y=mx+b is y-intercept form

So you have to solve this equation for y.

This looks like:

-2x+y=5

+2x +2x

y=2x+5

4 0

3 years ago

Evaluate the problem ??? Does anyone know ?

Rudiy27

<h2>Greetings!</h2><h3>Whenever something is to the power of a half, it is square rooting the contents. In this case it is:</h3>

$\frac{\sqrt{25} }{\sqrt{36} }$

<h3>Which simplifies down to:</h3>

$\frac{5}{6}$

<h3>Because 25 and 36 are square numbers!</h3>
<h2>Hope this helps!</h2>

6 0

3 years ago

Give that T = 37v/6v-5.4m a. Make V the subject of relation b. If T = 4.5 and M =7x10(7),calculate the value of v , leaving your

PilotLPTM [1.2K]

Answer:

$v = \frac{5.4mT}{6T - 37}$

$v = -1.701*10^8$

Step-by-step explanation:

Given

$T = \frac{37v}{6v-5.4m}$

Solving (a): Make v the subject

$T = \frac{37v}{6v-5.4m}$

Cross Multiply:

$(6v-5.4m)T = 37v$

Open bracket

$6vT - 5.4mT = 37v$

Collect Like terms

$6vT - 37v= 5.4mT$

Factorize:

$(6T - 37)v= 5.4mT$

Make v the subject

$v = \frac{5.4mT}{6T - 37}$

Solving (b):

$T = 4.5$

$m = 7 * 10^7$

So, the expression becomes:

$v = \frac{5.4mT}{6T - 37}$

$v = \frac{5.4*7*10^7*4.5}{6*4.5 - 37}$

$v = \frac{170.1*10^7}{27 - 37}$

$v = \frac{170.1*10^7}{-10}$

$v = -17.01*10^7$

$v = -1.701*10*10^7$

$v = -1.701*10^8$

6 0

3 years ago

What is the equation of the line that passes through (0, -2) and has a slope of 0?

serious [3.7K]

Answer:

y = - 2

Step-by-step explanation:

A line with a slope of 0 is a horizontal line parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through (0, - 2) with y- coordinate - 2 , then

y = - 2 ← equation of line

7 0

3 years ago

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