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Greeley [361]
3 years ago
7

√(81+18√(7)+7) (not decimal form)

Mathematics
1 answer:
AlladinOne [14]3 years ago
4 0

Answer:

\huge\boxed{\sqrt{81+18\sqrt7+7}=9+\sqrt7}

Step-by-step explanation:

\sqrt{81+18\sqrt7+7}=(*)\\\\81=9^2\\7=(\sqrt7)^2\\18\sqrt7=(2)(9)(\sqrt7)\\\\(*)=\sqrt{9^2+(2)(9)(\sqrt7)+(\sqrt7)^2}\\\\\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\=\sqrt{(9+\sqrt7)^2}\\\\\text{use}\ \sqrt{a^2}=|a|\\\\=|9+\sqrt7|=9+\sqrt7

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X^3-2x^2+5x-10=0<br> how do you solve or factor this polynomial?
pshichka [43]

\bf x^3-2x^2+5x-10=0\implies \stackrel{\textit{doing some grouping}}{(x^3-2x^2)+(5x-10)}=0 \\\\\\ \stackrel{\textit{common factoring}}{x^2\underline{(x-2)}+5\underline{(x-2)}}=0\implies \stackrel{\textit{more common factoring}}{\underline{(x-2)}(x^2+5)}=0 \\\\[-0.35em] ~\dotfill\\\\ x-2=0\implies x=2~~~~\textit{\large\checkmark} \\\\[-0.35em] ~\dotfill\\\\ x^2+5=0\implies x^2=-5\implies x=\sqrt{-5}\implies x=i\sqrt{5}\quad \bigotimes

7 0
3 years ago
Answer it guys pls idk how... you can also show the steps. For those who answer it all correctly I will give the brainliest answ
FromTheMoon [43]

Answer:

essentially, in these problems, youre finding the square root of each number. the square root should be a decimal thats in between two other numbers, and those will be the integers that the value of the square root is between. unless the value is exactly a number and a half, it will be closer to one integer than the other. the work is below.

square root of:

59= 7.68

68= 8.246

78= 8.83

93= 9.64

104= 10.198

124= 11.14

33= 5.74

185= 13.6

215= 14.66

these are just the square roots. but, as you can see, each number is between two other whole numbers on a number line. So, just write down what those numbers are.

7.68 is between 7 and 8

8.246 is between 8 and 9

8.83 is between 8 and 9

9.64 is between 9 and 10

10.198 is between 10 and 11

11.14 is between 11 and 12

5.74 is between 5 and 6

13.6 is between 13 and 14

14.66 is between 14 and 15

so, we know thw numbers that each decimal is between, but we have to find which one each is cloest to. in order to do that, just know that if the decimal is more than .5 its closer to the larger number, and its its less than .5, its closer to thw smaller number.

7.68 is closer to 8

8.246 is closer to 8

8.83 is closer to 9

9.64 is closer to 10

10.198 is closer to 10

11.14 is closer to 11

5.74 is closer to 6

13.6 is closer to 14

14.66 is closer to 15

7 0
3 years ago
a certain volcano has an elevation of 14,268 feet. a nerby oceanic trench has an elevation of 21,873 feet below sea level. find
EleoNora [17]

Answer:

8egg 8 g8vg8vg9g 9 g9g o h9 go g9gv9gv9 has to go on a small scale

3 0
3 years ago
Hi I need help :( Pls show your working..Will give brainliest for helpful answer​
Basile [38]

Answer:

number 10

dy/dx =(dy/dt).(dt/dx)

now find

dy/dt=4t-1. , dt/dx=1

so : dy/dx=(4t-1).(1)

dy/dx= 4t-1 ,we have x=t-3-----> t=x+3

subtitute at t

dy/dx= 4(x+3)-1=4x+12-1= 4x+11

5 0
3 years ago
Factorise the following completely 3ax+2ay+6bx+4by​
marissa [1.9K]

Answer:

(a+2b)(3x+2y)

Step-by-step explanation:

3ax+2ay+6bx+4by​ = a(3x+2y)+2b(3x+2y) = (a+2b)(3x+2y)

4 0
3 years ago
Read 2 more answers
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