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2 years ago

I need help asap:):):)

Mathematics

1 answer:

Helga [31]2 years ago

6 0

Answer:

last one (very bottom) or 6

Step-by-step explanation:

ez pz ;)

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If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.

kow [346]

ANSWER:

If $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ and $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ then the difference of a and b is 6

SOLUTION:

Given, $\frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3}$ → $\sqrt{a}-\sqrt{b}=3$ ----- (1)

And $\frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2}$ → $\sqrt{a}+\sqrt{b}=2$ --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

$\sqrt{a}-\sqrt{b}=3$

$\sqrt{a}+\sqrt{b}=2$

Adding above two equations, we get,

$2 \sqrt{a}+0=2+3$

$\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}$

substitute $\sqrt{a}$ value in (2)

$\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}$

Now, difference of a and b is a – b = $\frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6$

Hence, the difference of a and b is 6.

8 0

3 years ago

The function f(x) = 1.25x + 12 represents the cost, in dollars, of a large pizza with x toppings. What does the 1.25 represent?

statuscvo [17]

1.25 represents the cost of each of the toppings in the pizza and the price of the pizza without the toppings is the (12) and f(x) is the total cost of the pizza

A is the correct answer for this question

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2 years ago

Five more than the sum of a number and ten

Montano1993 [528]

X=5y+10 this is the answer

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2 years ago

Find x. 14 in. 48 in. X = in.

Bad White [126]

Answer:

x = 50 in

Step-by-step explanation:

Since it is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2

14^2 + 48^2 = x^2

196 + 2304 = x^2

2500 = x^2

Take the square root of each side

sqrt(2500) = sqrt(x^2)

50 =x

x = 50 in

4 0

2 years ago

Read 2 more answers

Banks provide a number of services including all of the following except __________.

olchik [2.2K]

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for small lending companies and not banks. They assist clients who have a minimal amount of salary to borrow a small amount of money with a high interest. The amount of money he can borrow will depend on the amount of salary he receives per month. The client will not be required to give any form of collateral for the borrowed money, thus, the client is said to be high-risk. However, he will have to return the money over a short period of time with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

Banks prefer to offer loans to people who have a steady income and a certain amount of salary. 

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2 years ago