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2 years ago

Express as simply as possible with a rational denominator 1/2√3

Mathematics

1 answer:

dybincka [34]2 years ago

6 0

Rationalise the denominator of 1/2√3

Detailed answer is in the image attached.

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4 4/5 divided by 1 1/2

vesna_86 [32]

Answer:

1⅗

Step-by-step explanation:

=44/5÷11/2

when two fractions are dividing,turn the division sign into multiplication sign and take the reciprocal of one fraction.That is,in one fraction let the numerator become the denominator and the denominator become the numerator

=44/5×2/11

then 11 goes into forty-four. 4

therefore

=4/5×2/1

=8/5

=1⅗

5 0

2 years ago

Read 2 more answers

How do you solve each system of equations?

stiv31 [10]

Answer:

$x=1,y=3,z=1$

Step-by-step explanation:

$4x-4y+4z=-4$

$4x=-4+4y-4z$

$x=-1+y-z$

Substitute $x=-1+y-z$ into second equation:

$4\left(-1+y-z\right)+y-2z=5$

$-4+4y-4z+y-2z=5$

$5y-6z-4=5$

$y=\frac{6z+9}{5}$

Substitute $x=-1+y-z$ and $y=\frac{6z+9}{5}$ into the third equation:

$\frac{-41z-54}{5}+3=-16$

$-41z-54=-95$

$z=1$

Substitute $z=1$ into $y=\frac{6z+9}{5}$ :

$y=3$

Plug in y and z values into $x=-1+y-z$ :

$x=1$

4 0

3 years ago

Write a ratio for this number

Vladimir79 [104]

Answer:

o/3 or 1/1

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

What do we do to both sides of the equation? X-8=3

Alik [6]

Answer:

$\huge\fbox\red{a}\huge\fbox\orange{n} \huge\fbox\pink{s}\huge\fbox\green{w} \huge\fbox\blue{e}\huge\fbox\purple{r}\$

We'll add 8 to the both side of the equation on order to get the Value of x
x -8+8 = 3+8
x = 11

~ʆᵒŕ∂ཇꜱꜹⱽẻⱮë

5 0

2 years ago

Read 2 more answers

Whats the equation of the line that passes threw -4,4 and is parrell to the line y=1/2-4

vovangra [49]

Answer:

$y=\frac{1}{2}x+6$

Step-by-step explanation:

Given:

The equation of the known line is:

$y=\frac{1}{2}x-4$

A point on the unknown line is (-4, 4)

Now, since the two lines are parallel, their slopes must be equal.

Now, slope of the known line is the coefficient of 'x' which is $\frac{1}{2}$ .

Therefore, the slope of the unknown line is also $m=\frac{1}{2}$

Now, for a line with slope 'm' and a point on it $(x_1,y_1)$ is given as:

$y-y_1=m(x-x_1)$

Here, $m=\frac{1}{2}, x_1=-4,y_1=4$ . Therefore,

$y-4=\frac{1}{2}(x-(-4))\\\\y-4=\frac{1}{2}(x+4)\\\\y-4=\frac{1}{2}x+2\\\\y=\frac{1}{2}x+2+4\\\\y=\frac{1}{2}x+6$

Hence, the equation of the unknown line is $y=\frac{1}{2}x+6$ .

5 0

3 years ago