Answer:
10 terms
Step-by-step explanation:
equate the sum formula to 55 and solve for n
n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )
n(n + 1) = 110 ← distribute parenthesis on left side
n² + n = 110 ( subtract 110 from both sides )
n² + n - 110 = 0 ← in standard form
Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)
the factors are + 11 and - 10 , since
11 × - 10 = - 110 and 11 - 10 = + 1 , then
(n + 11)(n - 10) = 0 ← in factored form
equate each factor to zero and solve for n
n + 11 = 0 ⇒ n = - 11
n - 10 = 0 ⇒ n = 10
However, n > 0 , then n = 10
number of terms which sum to 55 is 10
Answer:
3 + 10.8 is : rational.
Step-by-step explanation:
the reason for this is because it is neither a variable, pi, or numbers like square root 2.
Answer:
y = 2x + 2
Step-by-step explanation:
The equation ofa line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 4 ← is in slope- intercept form
with m = 2
Parallel lines have equal slopes , thus
y = 2x + c ← is the partial equation
To find c substitute (3, 8) into the partial equation
8 = 6 + c ⇒ c = 8 - 6 = 2
y = 2x + 2 ← equation of parallel line
Answer:
true
Step-by-step explanation:
idk what your trying to do but I guess it's true
The answer is C
y=kx. where k is a constant
sub y=34,x=2
2k=34
k=17