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timofeeve [1]
3 years ago
7

HELP PLEASE!!! Thanks!

Mathematics
1 answer:
Irina18 [472]3 years ago
8 0

Answer:

2) \frac{\sqrt{77}}{11}

3) 5√2

Step-by-step explanation:

Simplest radical form of an expression is the expression in radical so that there are no more square roots, cube roots, 4th roots, etc left to find, after rationalising the denominator ( if needed ).

2. Here the given expressions,

\frac{\sqrt{7}}{\sqrt{11}}

For rationalising the denominator multiply both numerator and denominator by √11,

\frac{\sqrt{77}}{11}

3. given expression,

\sqrt{50}

=\sqrt{25\times 2}

=\sqrt{25}\times \sqrt{2}   (\because \sqrt{ab}=\sqrt{a}\sqrt{b})

=5\sqrt{2}

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How many four-letter codes can be made if no letter can be used twice?
Y_Kistochka [10]

Answer:4 ways to make a code of 4 letters. 6C4=15, 4!=24, and 15×24=360

hope i helped

Step-by-step explanation:

8 0
4 years ago
What is the area of a rectangle with length 4x-3 and width 6x+9
Liono4ka [1.6K]

We are given

length of rectangle is 4x-3

width of rectangle is 6x+9

we know that

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so, we can plug value

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Area=(4x-3)*(6x+9)

now, we can distribute it

Area=4x*6x+4x*9-3*6x-3*9

now, we can simplify it

Area=24x^2+36x-18x-27

Area=24x^2+18x-27...............Answer

3 0
3 years ago
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Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%. The house she wants is $
Lady bird [3.3K]

Given :

Marisa wants to buy a home in Atlanta with a 30-year mortgage that has an annual interest rate of 4.9%.

The house she wants is $250,000 and she will make a $55,000 down payment and borrow the remainder.

To Find :

What is Marisa's monthly mortgage payment to the nearest dollar.

Solution :

Money remains, m = $( 250000 - 55000 ) = $195000 .

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T = 195000×( 1 + 0.049×1)

T = $204555

Monthly payment,

M = \dfrac{m}{12}\\\\M = \dfrac{204555}{12}\\\\M =\$ 17046.25

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3 years ago
Complete the equation of the line through ( − 10 , − 7 ) (−10,−7)left parenthesis, minus, 10, comma, minus, 7, right parenthesis
Arturiano [62]

The equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.

<h3>What is the equation of a line?</h3>

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

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x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

The slope of the line is,

Slope, m = (-10+5)/(-7+9) = -5/2 = -2.5

Substitute any one of the points in the equation of the line,

-7 = -2.5(-10) + C

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Hence, the equation of the line that passes through (-10,-7) and (-5,-9) is y=-2.5x-31.

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8 0
2 years ago
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