Answer:
see explanation
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
8 - 6 = 10 - 8 = 2
This indicates that the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 6 and d = 2, thus
= 6 + 2(n - 1) = 6 + 2n - 2 = 2n + 4 ← explicit formula
Hence
= (2 × 130) + 4 = 260 + 4 = 264
Answer:
x has to be less than 3
Step-by-step explanation:
Answer:
6 units
Step-by-step explanation:
Use the distance formula, 
.
Plug the x and y values from the given points into the distance formula:
![\sqrt{([-4]-2)^{2}+(5-5)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28%5B-4%5D-2%29%5E%7B2%7D%2B%285-5%29%5E%7B2%7D%7D)
.
Solve the square root:
= 
= 
Answer:
x= 2.73cm
<u>1cm : 0.6828 = 4cm : 2.73cm</u>
For the same angle we just work out 1cm first.
a^2+ b^2= c^2
0.82^2 + b^2 = 1^2 = changing to units 10
6.724 + b^2 = 10
10-6.724 = 2.276
Then x 3 and change units down by 10= 0.6828
Step-by-step explanation:
Below shows why we must convert to mm from cm
a^2+ b^2= c^2
0.82^2 + b^2 = 1^2 =
0.6724 + b^2 = 1
1 - 0.6724 = b = 0.2276
0.2276 x 3 = 0.6828 cm
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
x= 40
