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3 years ago

Rationalize root six divided by root three minus root two.

Mathematics

1 answer:

Anni [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Let's first divide the two roots of $\sqrt{6}$ and $\sqrt{3}$ .

$\sqrt{\frac{6}{3} }$

$\sqrt{2}$

Now, $\sqrt{2}$ - $\sqrt{2}$ = 0.

So, this equation comes out to be 0.

Hope this helped!

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10 times the quantity 9 minus a number x

Svetllana [295]

Answer:

$10 \times 9 - x \\ x = 10 \times 9 \\ x = 90$

<h3>PLEASE MARK ME BRAINLIEST.</h3>

8 0

3 years ago

Read 2 more answers

Help me please!!!!!!!!

Romashka [77]

Answer:

y = -6x - 5

Step-by-step explanation:

To find the equation using the point-slope equation, we need the slope and the y-intercept of the line

Finding the slope of the line:

We will calculate the slope between these 2 points: (-1 , 1) and (0 , -5)

Slope = Rise / Run

Rise of the line = y1 - y2

Rise = 1 - (-5)

Rise = 1 + 5

Rise = 6

Run of the line = x1 - x2

Run = -1 - 0

Run = -1

Slope of the line:

Slope = Rise / Run

Slope = 6 / -1

Slope = -6

Finding the y-intercept:

y-intercept of a line is the y-ordinate of the point where the line intersect the y-axis

From the graph, we can see that the line intersects the y-axis at (0 , -5)

y-coordinate of the point = -5

y-intercept = -5

Equation of the line:

This is the general formula of the slope-intercept:

y = mx + b (where m is the slope of the line and b is the y-intercept )

Replacing the variables

y = (-6)x + (-5)

y = -6x - 5

4 0

3 years ago

Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments

Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

$A(t) = A(0)(1+r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

$A(t) = A(0)(1+r)^t$

$A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\$

It will reach $450 after t years, for which A(t) = 450, hence:

$A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9$

It will take about 2.9 years for Emma's balance to reach $450

Learn more about logarithm here

brainly.com/question/247340

#SPJ4 .

3 0

2 years ago

Find the value of x for which r || S. A) 44 B) 10 C) Can't be determined. D) 14

Elodia [21]

Answer:

x=44

Step-by-step explanation:

For the two lines to be parallel, the two angles have to add to 180 degrees

45+3x+3 =180

Combine like terms

3x+48 = 180

Subtract 48 from each side

3x+48-48=180-48

3x=132

Divide each side by 3

3x/3 = 132/3

x =44

4 0

4 years ago

Read 2 more answers

What is the value of

miv72 [106K]

Answer:

-538.67 (2 d.p)

Step-by-step explanation:

4x +1612 = x - 4

4x -x = -1616

x = (-1616)÷3= -538.67 (2d.p)

4 0

3 years ago