Answer:
13 C
Step-by-step explanation:
15-2=13
(2,-4) is new reflected coordinates
---------------------------------------------
Present the numbers in decimal
---------------------------------------------
0.25 = 0.25
3/8 = 0.375
5/16 = 0.3125
<span><em>(It is easier to arrange the number using decimals)</em>
</span>
---------------------------------------------
Arrange the numbers
---------------------------------------------
0.25 (0.25) , 0.3125 (5/16) , 0.0375 (3/8)
<em>(Put the original numbers given in your final answer)</em>
---------------------------------------------
Answer: 0.25 , 5/16 , 3/8
---------------------------------------------
Answer:
Step-by-step explanation:
The two triangles are similar and therefore we can set up a proportion
9/(9 + 72) = (3x - 20)/(3x - 20 + 56) Combine like terms on the right
9/(81) = (3x - 20)/(3x + 36) Cross multiply
9(3x + 36) = 81 (3x - 20) Remove the brackets.
27x + 324 +1620 = 243x Add 1620 to both sides
27x + 324 + 1620 = 243x Subtract 27x from both
1944 = 216x divide both sides by 216
x = 9
If you feel comfortable canceling the size of the numbers can be reduced.
9/81 = 1/9
1/9 = (3x - 20)/(3x + 36)
3x + 36 = 9(3x - 20)
3x + 36 = 27x - 180
36 + 180 = 24x
216 = 24x
216/24 = x
x = 9
There is another cancelation possible, but this is simple enough.
Answer:
There is a horizontal tangent at (0,-4)
The tangent is vertical at (-2,-3) and (2,-3).
Step-by-step explanation:
The given function is defined parametrically by the equations:
and
The tangent function is given by:
The tangent is vertical at when 
When t=1,
and 
When t=-1,
and 
The tangent is vertical at (-2,-3) and (2,-3).
The tangent is horizontal, when 
or 
When t=0,
and 
There is a horizontal tangent at (0,-4)
