Answer:
20
Step-by-step explanation:
It’s the last one. Six.
Explanation: 6*6 = 36 - 3 = 33 > 21
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
Answer:
Option 3) y = 3x+1
Step-by-step explanation:
<u><em>Given equation is:</em></u>
y = 
Perpendicular => <u><em>It will have a slope of negative reciprocal to this slope</em></u>
So the ⊥ line has a slope = m = 3
Now,
Point = (x,y) = (1,4)
So, x = 1, y = 4
<u><em>Putting this in slope intercept form to get b</em></u>
=> 
=> 4 = (3)(1) + b
=> b = 4-3
=> b = 1
<u><em>Now, Putting m and b in the slope intercept form to get the required equation:</em></u>
=> y = 3x+1