Find thesimplfies form of the expression Give your answer in scientific notation. (8x10^4)(9x20^-8)

Answers

Answer 1

Answer: The Answer Would be 0.0072

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The equation of a circle is (x - 3)2 + (y + 2)2 = 25. The point (8, -2) is on the circle.What is the equation of the line that is tangent to the circle at (8, -2)?

Answers

Answer:

The equation of the line that is tangent to the circle at (8, -2) is:

$x=8$

Step-by-step explanation:

We know that the line which is tangent at a point on a circle is perpendicular to the line joining the center of the circle and that point.

Here we are given the equation of a circle as:

$(x-3)^2+(y+2)^2=25$

The center of the circle is at: (3,-2)

( Since, the standard form of a circle with center at (h,k) and radius r is given by:

$(x-h)^2+(y-k)^2=r^2$ )

Also, the equation of a line joining (3.-2) and (8,-2) is given by:

$y-(-2)=(-2-(-2))/(8-3)* (x-3)\n\ni.e.\n\ny+2=(-2+2)/(5)* (x-3)\n\ni.e.\n\ny+2=(0)/(5)* (x-3)\n\ni.e.\ y+2=0\n\ni.e.\ y=-2$

Also, we know that the slope of this line is zero.

Also, we know that if two lines are perpendicular with slope m and m' respectively then,

$m\cdot m'=-1\n\ni.e.\n\nm'=(-1)/(m)$

Hence, we get that the slope of the tangent line is:

$(-1)/(0)$

Also, we know that:

The equation of a line with given slope m' and a passing through point (a,b) is given by:

$y-b=m'(x-a)$

Here (a,b)=(8,-2)

and $m'=(-1)/(0)$

i.e. the equation of the tangent line is:

$y-(-2)=(-1)/(0)(x-8)\n\ni.e.\n\ny+2* 0=-1(x-8)\n\ni.e.\n\n-1* (x-8)=0\n\ni.e.\n\n(x-8)=0\n\ni.e.\n\nx=8$

Hello,

O=(3,-2) is the center of the circle and 5 its radius.

P=(8,-2)
The line OP is parallele to ox axis so then tangent is parallele to oy axis
Its equation is x=8.

Write a recursive formula for the sequence 7, 13, 19, 25, 31 then find the next term in the sequence?

Answers

Answer:

The recursive formula is

$f(1)=7$

$f(n)=f(n-1)+6$

and the next term is in the sequence is 37.

Step-by-step explanation:

We first have to find a pattern in the numbers we are given. We notice that each number is 6 greater than the previous; for example 13 is 7+6, 19 is 13+6 and so on. Mathematically we write this as

$f(n)= f(n-1)+7$

Where $f(n)$ is the value of nth term of the sequence.

The sequence starts at 7, therefore the first term in the sequence is:

$f(1)=7$

Now the next term (it will be 6th term) of the sequence will be 6 greater than the previous term, and since the previous term is 31, we have:

$f(6)=f(5)+6=31+6=37.$ .

Thus the next term in the sequence is 37, and the recursive formula is

$f(1)=7$

$f(n)=f(n-1)+6.$

Answer:

recursive formula: $a_n=a_(n-1)+6$

next term in the sequence: $a_1=7;37$

hope this helps! :)

Write in order from least to greatest:1.192, 1.092, 0.1092, 1.9

Answers

0.1092
1.092
1.192
1.9
...............

Always look for the 0's first

1.) 0.1092
2.) 1.092
3.) 1.9 (add a zero on the end to be the 3rd one)
4.) 1.192

Write a story that can be represented by the following equation: x + 16 = 42

Answers

Answer:

Amanda bought 42 apples and gave 16 away how many are left.

Step-by-step explanation:

X=26

Answer:

Renee runs a dogwalking business. She walked 42 dogs over the weekend. On Saturday she walked 16 dogs but Renee can't remember how many she walked on Sunday. Write and equation to find how many dogs Renee walked on Sunday where x is the number of dogs she walked on Sunday.

Which equation can be used to find the measure of EHG???? HELP ASAP PLZ

Answers

Answer:

The answer was B

Step-by-step explanation:

Answer:

b on edge !!!!!!!!!!!

Step-by-step explanation:

If Tom had a base pay of $6.35 and worked 28 hours, what would be his pay for the week

Answers

$6.35 per hour ×28 hours =$177.80

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