Answer: C
Step-by-step explanation:
When you are finding the area, the formula is A= Pi R^2.
The radius is half of the diameter. To get a diameter of 6, you have to multiply 3 by 2.
Answer:
g(-3) = 0
Step-by-step explanation:
hello :
g(-3) = (-3)² + 3(-3) = 9-9 =0
I’m not to sure I was wondering the same thing
Answer:
x=4
Step-by-step explanation:
√x+12=x
x+12=x2(Square both sides)
x+12=x2
x+12−x2=x2−x2(Subtract x^2 from both sides)
−x2+x+12=0
(−x−3)(x−4)=0(Factor left side of equation)
−x−3=0 or x−4=0(Set factors equal to 0)
x=−3 or x=4
x=−3(Doesn't work in original equation)
x=√x+12
Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
