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marin [14]
3 years ago
6

Find the missing side length assuming lines that appear to be tangent are tangent. Show work on piece of paper.

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

20

Step-by-step explanation:

Since the line of length 16 is a tangent to the circle, then the angle between it and the radius is right.

? is the hypotenuse of the right triangle formed.

Using Pythagoras' identity on the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

? = \sqrt{400} = 20

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geniusboy [140]
The length of a rectangle is 4 cm less than twice the width. express as an integer the maximum width of the rectangle when the perimeter is less than 78 cm.
5 0
3 years ago
SHOW ALL WORK BUT KEE IT SIMPLE AND EASY TO UNDERSTAND:)
7nadin3 [17]
To do this problem, you need to use a process called completing the square. Let me explain:  

To complete the square on the function f(x) = x² + 8x +13, first group the first two terms in (  )  and leave some space at the end as follows:
f(x) = (x² + 8x          ) + 13  Now our next step is to fill in the space and adjust our expression on the right hand side of the function.  To do this, we take half of the middle number 8 and then square it:  so 4² = 16 and we fill in our space inside the ( ) with this value 16;   
f(x) = (x² + 8x + 16) + 13  now what we have done is to increase the overall value of our expression on the right by 16, but we want the overall value to remain the same.  To fix this we simply need to subtract 16 at the end like this:  f(x) = (x² + 8x + 16) + 13 -16   we can simplify and get the following.
f(x) = (x² + 8x + 16) - 3   At this point we're almost done.. All we need to do now is to rewrite the what is in the parentheses in a slightly different form.  Here is what it will look like:  f(x) = (x + 4)² - 3  notice all I did was take the sum of the square root of x² and the square root of 16 originally in the (  ) to get then new expression inside the ( ) and then square that  ( )²

Now this is a nice form to have because you can get the vertex straight from this form.. IN FACT this is called vertex form or (h,k) form for short.  In general the form is f(x) = a(x - h)² + k  don't worry about the 'a'  for now.. you might see that in our case it is just 1 and will not effect our equation.  You only have to consider this if the original leading coefficient of the quadratic is not 1 to begin with...

So you can see that our vertex is (-4,-3)  
Hope this is helpful, but if you have questions let me know.
5 0
3 years ago
Someone plz help me here ;-; it’s due today! I have another due today plz help I have to redo this one cause I got one wrong ;-;
Alja [10]

Answer:

I think It is D

7 0
3 years ago
Read 2 more answers
Alvin's age is two times Elga's age. The sum of their ages is 33. What is Elga's age?
Marina CMI [18]

Answer:Elga is 11 because 3 times 11 = 33.


Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
What are the coordinates of the x-intercept of the line 3x – 2y = 12?
Travka [436]

Answer:

(4,0)

Step-by-step explanation:

When line intercepts x axis, y must be 0

when y =0

3x-2(0)=12

x=4

hence answer is (4,0)

8 0
3 years ago
Read 2 more answers
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