Answer:
translate 2 units to the left and compress by 1/2 in the y direction
Step-by-step explanation:
f(x)=x²
y = f(x + C) C > 0 moves it left
We add 2 to move it 2 units to the left
h(x) = (x+2)^2
y = Cf(x) 0 < C < 1 compresses it in the y direction
g(x) = 1/2 (x+2)^2
We know that
In the Arithmetic Sequence, the formula is
<span>an=a1+(n-1)*d
</span><span>where
</span>
an = the term that you want to find
a1 = first term in the list of ordered numbers
n = the term position
d = common difference of any pair of consecutive numbers
in this problem we have
a1=34
d=15
so
for n=200
a200=34+(200-1)*15-------> a200=3019
the answer is
3019
Answer:
Step-by-step explanation:
Comment
The general formula for a tangent and secant is
tangent^2 = external segment * full length of the secant.
Givens
tangent length = x
external segment = 7
secant length = 7+ 21
Formula
x^2 = 7 * (7 + 21) Remove brackets
x^2 = 7 * 28 Combine
x^2 = 196 Take the square root of both sides
√x^2 = √196
x = 14
Answer: <u>x = 14</u>
As per the combination method, there are 15 different ways are possible for this situation.
Combination method:
Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.
Given,
Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.
Here we know that that the value of
Total number of students = 6
Best student = 1
Runner - up = 1
So, as per the NCR formula, the value of n = 6 and the value of r = 2
Then the possible combinations are calculated as,
=> ⁶C₂ = 6! / 2!(6 - 2)!
=> ⁶C₂ = 6!/2!4!
=>⁶C₂ = 15
Therefore, the resulting number of ways is 15.
To know more about Combination method here.
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1 is b
2 is c
3 is c
4 is a
5 is c
6 is b
7 is a
8 is d
9 is d
10 is d