Answer:
I think its (3,2). you find where they meet and that's your answer
The sum of the interior angles of a polygon is.
Sum = 180(n-2) where n is the number of sides
Thus 180(n-2) = 3780
n-2=3780/180 =21
⇒ n = 21+2 = 23
number of sides is 23
Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
Answer:
= 1+2n and 63
Step-by-step explanation:
the question belongs to arithmetic sequence and
can be determined by the formula
= a1 + d (n-1)
Let "
" represents the number of band members in the nth row
and 'd' represents the common difference.( as stated each row has 2 more band members than the row before it)
therefore, d=2
'a1' represents first row that has three members. So, a1 = 3
->Rule for nth term will be:
= 3 + 2(n-1)
= 3 + 2n -2
= 1+2n
-> In order to find total number of band members '
'
Let
represent total number in n rows
We'll use the formula, i.e
= n/1 (
+
)
where, n is the number of terms,
is the first term and
is the last term
So,
n=7
= 1 + 2(7)= 15
=>
= 7/2 (3 + 15)
= 63
The total number of band members are 63