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4 years ago

What is the simplified form of square root of 45

2 answers:

8 0

Simplify the radical by breaking the radicand up into a product of known factors.

Exact Form:
3√5

Decimal Form:
6.70820393…

Simora [160]4 years ago

4 0

Answer:

I believe be simplified it would be rounded so it will be 6.7

Step-by-step explanation:

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What expression is equivalent to the expression below ?m+3/m^2-16/m^2-9/m+4

expeople1 [14]

Answer:

$\large\boxed{\dfrac{1}{(m-4)(m-3)}=\dfrac{1}{m^2-7m+12}}$

Step-by-step explanation:

$\dfrac{\frac{m+3}{m^2-16}}{\frac{m^2-9}{m+4}}=\dfrac{m+3}{m^2-16}\cdot\dfrac{m+4}{m^2-9}=(*)\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\m^2-16=m^2=4^2=(m-4)(m+4)\\m^2-9=m^2-3^2=(m-3)(m+3)\\\\(*)=\dfrac{m+3}{(m-4)(m+4)}\cdot\dfrac{m+4}{(m-3)(m+3)}\\\\\text{cancel}\ (m+3)\ \text{and}\ (m+4)\\\\=\dfrac{1}{m-4}\cdot\dfrac{1}{m-3}=\dfrac{1}{(m-4)(m-3)}\\\\\text{use\ FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=\dfrac{1}{(m)(m)+(m)(-3)+(-4)(m)+(-4)(-3)}\\\\=\dfrac{1}{m^2-3m-4m+12}=\dfrac{1}{m^2-7m+12}$

4 0

4 years ago

Dana reflects point A(2,5) across line small script letter lℓ to get image point Upper A primeA′(6,1). What is an equation for

valentinak56 [21]

Firstly, we will draw diagram of the scenario

Dana reflects point A(2,5) across line small script letter lℓ to get image point Upper A primeA′(6,1)

It means that AA' is perpendicular bisects of line(l)

so, let's assume it intersects at point M

so, M will be mid-point between A and A'

$M=(\frac{2+6}{2},\frac{5+1}{2})$

$M=(4,3)$

M is a point on line (l)

now, we will find slope of line on AA'

x1=2 , y1=5

x2=6 , y2=1

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

now, we can plug values

$m=\frac{1-5}{6-2}$

$m=-1$

now, we know that line (l) and AA' are perpendicular to each other

so, slope of line(l) is -1/m

slope=1

so, we have slope and a point

$m=1$

$M=(4,3)$

now, we can use point slope form of line

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

now, we can plug values

$y-3=1(x-4)$

$y=x-1$

so, the equation of line (l) is

$y=x-7$ ..............Answer

7 0

3 years ago

Read 2 more answers

You have quarters and nickels saved in a piggy bank. There is a total of $3.45 in the bank. If you have 70 cents in nickels, how

Andre45 [30]

Answer:

11 quarters

Step-by-step explanation:

First, I subtract : 3.45 - .70 = 2.75

Then, divide : 2.75 by 25 ( a quarter ) = .11

Check : 11 x 25 = 2.75 -------------> 2.75 + .70 = 3.45

Hope this helps :)

3 0

4 years ago

Read 2 more answers

HELP!!!!!<br><br> what is the 34th term: a1 = 3.2, d = 2.6

Maurinko [17]

Answer:

idk

Step-by-step explanation:

3 0

4 years ago

The demand function for a certain make of exercise bicycle sold exclusively through cable television is p=9−0.02x−−−−−−−−√(0≤x≤4

nirvana33 [79]

Answer:

Step-by-step explanation:

The concept of demand is applied, demand may be elastic, inelastic and unitary as the detailed steps and calculations is as shown in the attached file.
For elastic demand, P > 1
For inelastic demand, P < 1
For unitary, P = 1

7 0

3 years ago