Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so
Answer:
idk sry search it up
on photo math just take a pic and it will give you the answer
Answer:
3^3×3
81
3^7/3^3
Explanation:
First you should solve the expression you've got there.
(3^6×3^-4)^2
3^6= 3×3×3×3×3×3 the answer is 729
3^-4 A negative exponent means repeated division by the base. So for example 2^-4=1/(2^4)
=1/(2×2×2×2)= 1/16
3^-4= 1/(3^4)
=1/(3×3×3×3)
= 1/81 If you look up the answer in your calculator the answer that will show up will be 0.01234567901
So!
(729×0.01234567901)^2= 9^2
9^2= 81
Now you can look at the following expressions and whichever gives the answer 81 will be correct.
hope it helps!
Y = 3x - 4.....the slope here is 3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, u flip the slope and change the sign. So we will need a slope of -1/3...see how I flipped the slope of 3/1 and made it 1/3...and then changed the sign, making it -1/3.
y = mx + b
slope(m) = -1/3
(2,1)...x = 2 and y = 1
now we sub and find b, the y int
1 = -1/3(2) + b
1 = -2/3 + b
1 + 2/3 = b
3/3 + 2/3 = b
5/3 = b
so ur perpendicular equation is : y = -1/3x + 5/3
Answer:
Slope= 5
y intercept= (0,-3)
Step-by-step explanation:
