m = 36
<u>Work</u>
<em>45 + 2.50m = 3.75m</em>
<em> -3.75m -3.75m</em>
<em>45 - 1.25m = 0</em>
<em>- 45 - 45</em>
<u><em>-1.25</em></u><em>m = </em><u><em>-45</em></u>
<em>-1.25 -1.25</em>
<em> </em>m = 36
Answer:
The 5th term:
a₅ = 18
Step-by-step explanation:
We know that Arithmetic sequences have a constant rate of change.
Given
- common difference = rate pf change = d = 3
The nth term of the Arithmetic sequence with a₁ and 'd' is defined as
aₙ = a₁ + (n-1)d
Where
a₁ is the first term
d is the common difference
as
a₃ = 12
d = 3
so
Plug in n=3
a₃ = a₁ + (3-1)d
Now Plug in a₃ = 12 and d = 3
12 = a₁ + (3-1)3
12 = a₁ + 2(3)
12 = a₁ + 6
a₁ = 6
so
Formula to find the 5th term
a₅ = a₁ + 4d
Plug in a₁ = 6 and d = 3
a₅ = 6 + 4(3)
a₅ = 18
Therefore, the 5th term:
a₅ = 18
90 - 20 =72
72 / 2 = 36
36 + 20 56
36 +56 = 92
36 and 56
Hello,
1) (x+2)²+(y-3)²=5² Answer B
2) center(-1,2) passing through (2,-2)
(x+1)²+(y-2)² =r²
if x=2 and y=-2 ==>(2+1)²+(-2-2)²=9+16=25
r=5
The radius is 5.
The diameter is 10.
The equation is (x + 1)² + (y – 2)² = 10. False 25
The circumference is 25. (false, 2pi*5=10pi)
4)
A(5, 4) and B(–1, –4) , M middle of AB is ((5+(-1))/2,(4+(-4))/2)=(2,0)
Radius is [MB|=√((2-(-1))²+(0+4)²)=√(9+16)=5
(x-2)+(y-0)²=5²
==>(x-2)²+y²=25
Answer C
