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Stolb23 [73]
3 years ago
12

Find the 35th term 12,20,28,

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

Answer:

284

Step-by-step explanation:

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Express 0.089 in scientific notation
Elena L [17]
 the scientific notation for 0.089 is 0.089 = 8.9 x 10-2 
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3 years ago
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What is the solution for x in the given equation? The square root of 9x +7 + the square root of 2x = 7
cestrela7 [59]

Answer:

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

Step-by-step explanation:

We need to find the solution for x in the given equation.

\sqrt{9x+7} +\sqrt{2x}=7

Solving:

Subtract \sqrt{2x} from both sides

\sqrt{9x+7} =7-\sqrt{2x}

Taking square on both sides

(\sqrt{9x+7})^2 =(7-\sqrt{2x})^2\\Using\,\, (a-b)^2 = a^2-2ab-b^2\\9x+7=(7)^2-2(7)(\sqrt{2x})+(\sqrt{2x})^2\\9x+7=49-14\sqrt{2x}+2x\\9x-2x+7-49=-14\sqrt{2x}\\7x-42=-14\sqrt{2x}\\Taking\,\,square\,\,on\,\,both\,\,sides\\(7x-42)^2=(-14\sqrt{2x})^2\\49x^2-2(7x)(42)+(42)^2= 196(2x)\\49x^2-588x+1764=392x\\49x^2-588x+1764-392x=0\\49x^2-980x+1764=0\\Using \,\,quadratic \,\, equation  \,\,to \,\, find \,\, value \,\, of \,\, x \\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\a= 49, \, b= -980 \,\,and\,\, c = 1764

Putting values and solving

x=\frac{-(-980)\pm\sqrt{(-980)^2-4(49)(1760)}}{2(49)}\\x=\frac{980\pm\sqrt{614656}}{98}\\Solving\\x=18 \,\, and x =2

Verifying the solution by putting values of x in given equation

Putting x=18

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(18)+7} +\sqrt{2(18)}=7\\\sqrt{169} +\sqrt{36}=7\\13+6=7\\19\neq 7

So, x=18 is not solution o given equation.

Putting x = 2

\sqrt{9x+7} +\sqrt{2x}=7\\\sqrt{9(2)+7} +\sqrt{2(2)}=7\\\sqrt{25} +\sqrt{4}=7\\5+2=7\\7=7

So, x=2 satisfies the equation

The solution is x =2 for the given equation \sqrt{9x+7} +\sqrt{2x}=7

7 0
3 years ago
Question 67 and 68 please. Or one or the other.
Umnica [9.8K]

Answer:

question 67-the answer is Rory has eaten 1 1/4 of all the chocolate he has been given.

question 68-answer A-30 degrees

Step-by-step explanation:

question 67:

first Rory ate 1/2 of his chocolate

then, his sister gave him another whole chocolate bar an hour later.

that is 1/2+1=1 1/2--3/2/2=3/4

add 3/4 and 1/2--3/4 1/2~2/4--2/4+3/4=5/4 or 1 1/4

so the answer is 1 1/4

question 68:

if you draw a base to connect the last side of the angle into a triangle, you find that all three sides are equal, making the triangle an equilateral triangle.  An equilateral triangle's angles all equal 30 degrees.

so, the answer is answer A: 30 degrees

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4 years ago
Which of the following are zeros of the function y=3(x-a)(x+b) in terms of a and b
Oksanka [162]

Answer:

"a" is a zero and -b is a zero

Step-by-step explanation:

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3 years ago
Solve this showing work. worth 50 points
goldfiish [28.3K]

Answer:

10. X=3

11. FG=15

12. QS=34

Hope this helps

Step-by-step explanation:

10. 8x+11=12x-1

8x-12x=-1-11

-4x=-12

x=3

11. 11x-7=3x+9

11x-7=-9+7

8x=16

x=2

Substitute the (x)

11(2)-7 =15

12. 5x-3=21-x

5x+x=21+3

6x=24

x=4

Substitute the (x)a

5(4)-3=17

21-(4)=17

17+17=34

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