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2 years ago

Help please asappp!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

mario62 [17]2 years ago

4 0

I think the answer is B! I hope that helps!!!!!

BRAINLY would be appreciated❤️

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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]

<u>ANSWER:</u>

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

<u>SOLUTION:</u>

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

What is an equation of the line that passes through the points (- 2, 1) and (- 8, 4) ?

Fantom [35]

Answer:

y=-x/2

Step-by-step explanation:

m=(4-1)/(-8-(-2))

m=3/-6

m=-1/2

b=y-mx

b=1-(-1/2*(-2))

b=1-1

b=0

y=-x/2

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3 years ago

13 cans of paint with 5/6 liters of paint in each were used to paint 4 identical cars. How can you calculate the amount of paint

brilliants [131]

Answer:

(B) 5/6 ·13÷4

(D) 5/6 · 13/4

Step-by-step explanation:

Amount of paint per can = $\frac{5}{6}$ liters.

Number of cans used to paint 4 cars = 13

Total amount of paint used for 4 cars = $13 * \frac{5}{6}$ liters.

= $\frac{13 * 5}{6}$ liters.

= $\frac{65}{6}$ liters.

Total amount of paint used for 1 car = $\frac{65}{6} \div 4$ liters.

= $\frac{65}{24}$ liters.

Of the given options, option B,C and D correspond to the same value.

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