Answer:
x = 2/3 or x = -2/3
Step-by-step explanation:
Solve for x over the real numbers:
9 x^2 = 4
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 9:
x^2 = 4/9
Hint: | Eliminate the exponent on the left-hand side.
Take the square root of both sides:
Answer:x = 2/3 or x = -2/3
I’m pretty sure the answer is (2,1)
Exact form= -29/4
Decimal form = -7.25
Mixed number form = -7(1/4)
Step-by-step explanation:
that is
sum(2^r) for r=1 to n, plus sum(1/2) for r=1 to n.
and that is
sum(2^r) + n/2 for r=1 to n.
2^r is a geometric sequence with 2 being the common ratio (every new term is created by multiplying the previous term by 2).
and since r is starting at 1, the first term a1 = 2.
the formula for the sum of a finite geometric sequence is
Sn = a1×(1 - r^n) / (1 - r)
with r being the common ratio .
so, in our case
Sn = 2×(1 - 2^n) / (1 - 2)
Sn = (2 - 2^(n+1)) / -1 = 2^(n+1) - 2
and so, in total we get
2^(n+1) - 2 + n/2 = 2^(n+1) + (n - 4)/2
Answer:
210
Step-by-step explanation:
JQ is 5 times the length of JK
● JQ = 5JK
JK = 42
● JQ = 5 × 42
● JQ = 210
