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vova2212 [387]
3 years ago
11

\sqrt{3} } " alt=" \frac{7}{5 - \sqrt{3} } " align="absmiddle" class="latex-formula">
write the expression in simplified radical form
Mathematics
1 answer:
ratelena [41]3 years ago
4 0
Rationalize denominator in order to vanish radical term from denominator,

\frac{7(5+ \sqrt{3})}{(5- \sqrt{3})(5+ \sqrt{3})} =  \frac{7(5+ \sqrt{3}) }{25-3} =  \frac{35+7 \sqrt{3} }{22}
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Three numbers between 80 and 100 are prime numbers. What numbers are they? Eight numbers between 31 and 41 are composite numbers
Flura [38]
83, 89, and 97 are three primes between 80 and 100.

The primes between 30 and 50 are 31, 37, 41, 43, and 47, all of which are odd.  All other numbers between 30 and 50 are composite.

To mentally find 2*50*25, you could either first multiply 25 by 2, to get 50*50, which can easily be calculated as 2500, or you could multiply the 50 by 2, for a result of 100*25, which is clearly also 2500.
5 0
3 years ago
Solve the system of equations by using substitution.<br> x+8y=-2<br> x-3y=20
zysi [14]

Answer:

(14, -2)

Step-by-step explanation:

To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:

x+8y=-2\\x=-2-8y

Now we know what <em>x</em> equals. Let's substitute this into the second equation:

x-3y=20\\(-2-8y)-3y=20

We can then simplify:

-2-8y-3y=20 Given equation

-2-11y=20 Combine y terms

-11y=22 Add 2

y=-2 Divide by -11

So, we now know the value of y = -2.

To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:

x+8y=-2

x+8(-2)=-2 Substitute for y

x-16=-2 Distribute 8

x=14 Add 16

So, we now know the value of x = 14.

Therefore, we know a solution to the system of equations is (14, -2).

4 0
3 years ago
In the arithmetic sequence {13,6,−1,−8,…}, what is the common difference?
Charra [1.4K]

Answer:

-7

Step-by-step explanation:

hello :

the common difference is : -8-(-1)=-1-6=6-13=-7

4 0
3 years ago
The greatest common factor of 2 different prime numbers is 1
Georgia [21]

Answer:

ok is this supposed to be a quesion to ask or a fact?

Step-by-step explanation:

4 0
3 years ago
Shelly wants to have 6 rose bushes planted on her property. She asked a landscaping company to give her a bid. The contractor wa
Anton [14]

Answer:

$360

Step-by-step explanation:

If Shelly wants 6 rose bushes, and each bush costs $40, then you can multiply 6 by 40 to find the total amount of money Shelly will spend on them if she plants them herself. 6 x 40 = 240. You can then subtract 240 from 600 to find the amount of money she saves. 600 - 240 = 360

3 0
2 years ago
Read 2 more answers
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