All categories

2 years ago

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT

1 answer:

5 0

$\dfrac 1{\sqrt 7- \sqrt 3}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left ( \sqrt 7 -\sqrt 3\right) \left( \sqrt 7 + \sqrt 3\right)}\\\\\\=\dfrac{\sqrt 7 + \sqrt 3}{\left(\sqrt 7 \right)^2 - \left(\sqrt 3 \right)^2}\\ \\\\=\dfrac{\sqrt 7 + \sqrt 3}{7-3}\\\\\\=\dfrac 14\left(\sqrt 7 + \sqrt 3\right)$

You might be interested in

the bowling alley charges a flat rate of $50 for a birthday party plus $4.25 per person. If Emanuel only has $125 to spend. How

Maksim231197 [3]

125 > 50 + 4.25*p

subtract 50 from each side

75 =>4.25p

divide by 4.25

p>17.64

He may invite up to 17 people ( if he doesn't have to pay for himself)

He may invite 16 if he has to pay for himself

3 0

3 years ago

Please help me with functions

goldenfox [79]

Answer:

1.) Domain: [-2, 1] Range: [1, 2] 2.) Domain: [-1, 2] Range: [-2, 2]

Step-by-step explanation:

6 0

3 years ago

What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer

Alika [10]

Answer:

Step-by-step explanation:

Given: Diagonal of square= $3\sqrt{2}$

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; $Diagonal= s\sqrt{2}$

Where, s is side of square.

⇒ $3\sqrt{2} = s\sqrt{2}$

Dividing both side by √2

⇒ $s= \frac{3\sqrt{2} }{\sqrt{2} }$

∴ $s= 3$

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; $Perimeter= 4s$

⇒ $Perimeter= 4\times 3$

∴ $Perimeter= 12$

Hence, Perimeter of square is 12.

6 0

4 years ago

A school bus during morning pickups to calculate its average speed between 2.8 km and 4.2 km.

kifflom [539]

Answer:

Option (c)

The average speed between 2.8 km and 4.2 km is 42 km/h

Explanation:

Given, the distance between 2.8 km and 4.2 km is 4.2 - 2.8 = 1.4 km

Time (in hours) between 2.8 km and 4.2 km

= 0.084 – 0.051

= 0.033 hr

Speed = $\frac{Distance}{Time}$

Speed = $\frac{1.4}{0.033}$

Speed = 42.4 km/hr = 42 km/h (rounded to nearest)

Therefore, the average speed between 2.8 km and 4.2 km is 42 km/hr

Hence, Option (C) is correct

4 0

3 years ago

Sean has 3 times as many vegetable plants as Liz and Sejuan combined. Liz has 3 vegetable plants, and Sejuan has 2 vegetable pla

DIA [1.3K]

Let
x------------>Sean vegetable plants
y------------>Liz vegetable plants
z------------>Sejuan vegetable plants

we know that
y=3
z=2
x=3(y+z)--------> 3(3+2)=15

the answer part A) is
Sean has 15 vegetable plants

part B

This is an example of a part-whole problem.----------> true
This is an example of a comparison problem.-------> true
Addition then multiplication can be used to solve the problem.------> true

5 0

4 years ago

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT ​

Rationalise 1/√7-√3PLEASE GIVE ANSWER IT'S URGENT