Answer:
x=11
Step-by-step explanation:
These are alternate interior angles. Alternate interior angles are equal when the lines are parallel
6x =2x+44
Subtract 2x from each side
6x-2x =2x+44-2x
4x =44
Divide each side by 4
4x/4 = 44/4
x = 11
Answer:
vertex: (4,-6), y= -14
Step-by-step explanation:
vertex can be derived from this formula
(4, -6)
to find y intercept you need to set x=0
y=2(0-4)-6
=-8-6
y= -14
I hope this helps you
x=42.8+6.9
x=49.7
Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
Answer:
Nobody likes a short, one-word-answer. Let’s make sure other people understand everything.
Step-by-step explanation:
By lisa Simpson
