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Rzqust [24]
2 years ago
13

How do you rationalise this surd?

Mathematics
2 answers:
Black_prince [1.1K]2 years ago
8 0

(√2 + √6)/2

To rationalise the denominator multiply the numerator/ denominator by √2

= ( 1 + √3)/√2 × √2/√2 = (√2 + √6)/2


Ksivusya [100]2 years ago
5 0

\frac{1 +  \sqrt{3} }{ \sqrt{2} }   \times  \frac{ \sqrt{2} }{ \sqrt{2} } =  \frac{ \sqrt{2}  +  \sqrt{6}  }{2}
here you go
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Find the constant of proportionality k. Then write an equation for the relationship between x and y
ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Answer:

(a) k = 5

(b) y = 5x

Step-by-step explanation:

Given

\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

(x_1,y_1) = (2,10)

(x_2,y_2) = (6,30)

The constant of proportionality k is:

k = \frac{y_2 - y_1}{x_2 - x_1}

k = \frac{30-10}{6-2}

k = \frac{20}{4}

k = 5

Solving (b): The equation

In (a), we have:

(x_1,y_1) = (2,10)

k can also be expressed as:

k = \frac{y- y_1}{x- x_1}

Substitute values for x1, y1 and k

5 = \frac{y- 10}{x- 2}

Cross multiply:

y - 10 = 5(x - 2)

Open bracket

y - 10 = 5x - 10

Add 10 to both sides

y - 10 +10= 5x - 10+10

y = 5x

6 0
3 years ago
the distributive property law was introduced before the discussion on collecting like terms. why do you think this was done?
gregori [183]

Answer:

explain more

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ME WITH THIS PROBLEM ASAP
lana [24]

Answer:

15x+5+22x+4+60=180

37x=180-60-5

37x=115

x=115/37

x=3

angle b

22*3+4=70°

angle c

15*3+5=50°

have a nice day . hope this helps

7 0
2 years ago
What is the product? 1/2• [12 64 78 30]
Marina86 [1]
Option C is the right answer

½(12) = 6
½(64) = 32
½(30) = 15
½(78) = 39
4 0
3 years ago
7. Sorav bought a jacket for Rs. 2500 sold it for Rs. 1900. Find her loss.​
Morgarella [4.7K]

Answer:

600

Step-by-step explanation:

if SP>CP,  

It is profit [SP - CP = Profit]

if CP>SP,  

It is loss  [CP - SP = Loss]

 

Here in the question CP>SP so,  

loss = CP - SP  

      =2500 - 1900  

      = 600

4 0
3 years ago
Read 2 more answers
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