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vovangra [49]
3 years ago
10

1. Simplify 4/2 +72 - 3N2 (1 point) O 2/8 O 8/2 O 86 0 68

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Step-by-step explanation:

4√2+ 7√2 - 3√2 = (4 + 7 - 3)√2 = 8√2

Topic: Indices and Surds

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

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Which graph has a slope of 4/5
Lana71 [14]

Answer: whichever graph that goes up 4 and over 5

Step-by-step explanation:

rise over run, 4 up, 5 right

to find it just look at two points on the line and count how many up and how many horizontal units there are between them :)

4 0
4 years ago
Write the vector below in component form.<br> PQ where P=(-4,1) Q=(-9,-5)
shepuryov [24]

Answer:

-14

Step-by-step explanation:

6 0
3 years ago
Please help with only the circled ones (1-8)
mixas84 [53]

When you have an exponent divided by another exponent, you subtract the exponents (only when it has the same base)

For example:

\frac{x^8}{x^3} =x^{8-3}=x^5

\frac{x^3}{x^2} =x^{3-2}=x^{1}  


When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive

For example:

x^{-2}=\frac{1}{x^2}

\frac{1}{x^{-5}}=\frac{x^5}{1} = x^5

\frac{y^{-2}}{x^{-1}} =\frac{x^1}{y^2} =\frac{x}{y^2}


1. \frac{10^{15}}{10^3} =10^{15-3} = 10^{12}


2. \frac{(-3)^4}{(-3)^{-3}} =(-3)^{4-(-3)}=(-3)^{4+3} = (-3)^7


3. \frac{8}{8^3} =8^{1-3} = 8^{-2}=\frac{1}{8^2}


4. \frac{a^{12}}{a^2} =a^{12-2}=a^{10}


5. \frac{m^{-2}n^{16}}{m^{4}n^2} =(m^{-2-4})(n^{16-2})=(m^{-6})(n^{14})=\frac{n^{14}}{m^{6}}

This is one of the ways you could have done it


6. \frac{p^5q^{-10}}{p^6q^{-2}} =(p^{5-6})(q^{-10-(-2)})=(p^{-1})(q^{-8})=\frac{1}{p^1q^8} =\frac{1}{pq^8}


7. \frac{63x^{18}}{9x^{2} }   Divide 63 and 9

\frac{7x^{18}}{x^{2}} =(7)(x^{18-2})=(7)(x^{16})=7x^{16}


8. \frac{28r^4}{-7r^{15}} =(\frac{28}{-7} )(r^{4-15})=(-4)(r^{-11})=(-4)(\frac{1}{r^{11}} )=\frac{-4}{r^{11}}


[More information with exponents]

If you multiply an exponent directly with another exponent, you multiply the exponents together

For example:

(x^{2})^4=x^{2(4)}=x^8

(x^{3})^5 =x^{3(5)}=x^{15}


If you multiply a variable with an exponent by a variable with an exponent, you add the exponents

For example:

(x^{2}) (x^6)=x^{2+6}=x^8

(x^{3})(x^1)=x^{3+1}=x^4

3 0
3 years ago
The perimeter of the scalene triangle is 88 cm.Which equation can be used to find the value of b if side a measures 12.5 cm?
Mariulka [41]

Answer:

A scalene triangle is one whose sides are all a different length. So there is no way you can find the length of b when you are only given the length of a and the perimeter.

Step-by-step explanation:

hopes it help :)

5 0
3 years ago
A book is 11.7 inches long and 8.5 inches wide.there are 375 words on a page. The area of the page is sq. In. The density of the
UNO [17]
The area of the page = 11.7 x 8.5 = 99.45 square inches

divide the number of word by the area:

375 / 99.45 = 3.77 words per square inch  ( round answer as needed)
8 0
3 years ago
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