Answer:
12 units
Step-by-step explanation:
The lactus rectum for a parabola is equal to 4 times the length of the focus from the vertex. Therefore, we need to determine the focus
by using the equation
for a vertical parabola.
We can deduce that
,
, and
. Therefore, the focus of the parabola is
or
.
Because the focus is
, then it is 3 units away from the vertex
, making the length of the latus rectum 3*4=12 units.
The ordered pairs ( 1 , 4 ) , ( 2 , 1 6 ) , ( 3 , 6 4 ) , ( 4 , 2 5 6 ) , ( 5 , 1 , 0 2 4 ) ( 1 , 4 ) , ( 2 , 1 6 ) , ( 3 , 6 4
Annette [7]
Answer:
The rule is f(x) = 2^(2x).
Step-by-step explanation:
Note that 4 = 2^2, 16 = 4^2, 64 = 8^2, 256 = 16^2 and 1024 = 32^2
and the first numbers in the ordered pairs are 1 , 2 ,3, 4, 5
compare this with 2, 4 , 8, 16 , 32.
We see that the rule for this is 2^x where x is the sequence number.
So the rule for the original ordered pairs is (2^x)^2.
= 2^2x.
There are 1,16,280 different recital programs possible.
Given: A pianist plans to play 4 pieces at a recital from her repertoire of 20 pieces and is carefully considering which song to play first, second, etc.
It means the repetition of pieces is not allowed.
When repetition is not allowed, then the number of ways to arrange n things where r things taken together is given by:-

Now, the number of different recital programs are:-

Hence, there are 1,16,280 different recital programs possible.
Learn more about probability here brainly.com/question/251701
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Answer:
Slope= 1/6 Y-intercept= 1/3
Step-by-step explanation:
1-0=1
4-(-2)=6
Slope = 1/6
y-0= 1/6 (x-(-2))
y-0= 1/6x + 1/3
Y intercept is 1/3
Gradient is -5
Change in y (5) divided by change in x (-1)