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Gala2k [10]
3 years ago
13

LK is tangent to circle J at point K. What is the length of the radius? 6/25 85/12 121/36 157/12

Mathematics
2 answers:
schepotkina [342]3 years ago
4 0

Answer:

85/12

Step-by-step explanation:

hammer [34]3 years ago
3 0

Answer:

The answer is indeed, 85/12 ; B

Using the Pythagorean theorem, you can use FOIL to solve for the hypotenuse then subtract the radius from the entire hypotenuse to find R. Since all radii are congruent.

11^2 + r^2 = (6+r)^2\\11^2 + r^2 = (6+r) (6+r)\\121 + r^2 = 36 + 6r + 6r + r^2\\121 + r^2 = 36 + 12r + r^2\\

Simplify the rest. We also know that (6+r)^2 is the hypotenuse since angle JKL is a right angle as it is perpendicular to the center and is a tangent.

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The sum S of the first n integers is given by the formula S=1/2n(n+1). How many integers must be taken to have a sum of
statuscvo [17]

Answer:

25

Step-by-step explanation:

We require to solve for n, hence

\frac{1}{2} n(n + 1) = 325

multiply both sides by 2 to eliminate the fraction

n(n + 1) = 650

n² + n = 650

subtract 650 from both sides to have equation in standard form

n² + n - 650 = 0 ← in standard form

(n + 26)(n - 25) = 0 ← in factored form

equate each factor to zero and solve for n

n + 26 = 0 ⇒ n = - 26

n - 25 = 0 ⇒ n = 25

however, n > 0 ⇒ n = 25


5 0
3 years ago
This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =
wel

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

  • p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

  • q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

  • r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

  • s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

4 0
4 years ago
Read 2 more answers
Elena and jade are 12 miles apart on a path when they star moving toward each other . Elena runs at a constant speed of 5 miles
inna [77]

Answer:

1.5 hrs

Step-by-step explanation:

8 0
3 years ago
The Davis family is going to reseed the grass in the backyard. Their yard is irregularly shaped with a cement patio and rectangu
prohojiy [21]

Answer:

1,482 square feet

Step-by-step explanation:

Find total area - 37 x 46 = 1,702

Find area of patio and garden - 16 x 10 = 160 for the patio, 12 x 5 = 60 for the garden

Subtract from total area - 1702 - 160 = 1542, 1542 - 60 = 1,482 sq ft

5 0
3 years ago
Find the distance between the two points: (2,3) and (-5,-3)
yuradex [85]

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

√85

Decimal Form:

9.21954445…

Hope this helps!!

7 0
3 years ago
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