Answer: common difference is 14
Step-by-step explanation:
a,a+d,a+4d
7,7+d,7+4d
(7+d)/7=(7+4d)/(7+d)
(7+d)(7+d)=7(7+4d)
49+14d+d^2=49+28d
d^2-14d=0
d(d-14)=0
d=0 or d-14=0
d=14
Answer: 12√2 cm
<u>Step-by-step explanation:</u>
Cube 1: V = 6³ = 216
Cube 2: V = 8³ = 512
Cube 3: <u>V = 10³ = 1000</u>
New Cube: V = 1728
1728 = s³
12 = s
So, each side of the new cube is 12 cm.
Use Pythagorean Theorem to find the length of the diagonal:
12² + 12² = diagonal²
144 + 144 = diagonal²
288 = diagonal²
√288 = diagonal
12√2 = diagonal
0.77777777777777 and goes on forever since anything/9 is 0.(whatever that number is repeated)
<h3>
Answer: Linear</h3>
Each time x goes up by 3, y goes up by 2. The rate of change is constant.
slope = (change in y)/(change in x) = 2/3
y intercept = 6 since this is where x = 0
The equation of this line is y = (2/3)x+6