1/4q = 3w + 3...multiply both sides by 4
q = 4(3w + 3)
q = 12w + 12 <===
From F.S 1, consider this series : 8, 1, 8, 8, 64, 64*8.
Again, consider the series 2, 1/4, 1/2, 1/8, 1/16, 1/(8*16). Clearly, the difference of the 6th and the 3rd term is different for them. Insufficient.
<span>From F.S 2, let the series be </span><span><span>a,b,ab,a<span>b2</span>,<span>a2</span><span>b3</span>,<span>a3</span><span>b5</span></span><span>a,b,ab,a<span>b2</span>,<span>a2</span><span>b3</span>,<span>a3</span><span>b5</span></span></span><span>. Now we know that </span><span><span>a<span>b2</span>=1</span><span>a<span>b2</span>=1</span></span>. The required difference =<span><span><span>a3</span><span>b5</span>−ab=ab(<span>a2</span><span>b4</span>−1)=ab[(a<span>b2</span><span>)2</span>−1]</span><span><span>a3</span><span>b5</span>−ab=ab(<span>a2</span><span>b4</span>−1)=ab[(a<span>b2</span><span>)2</span>−1]</span></span><span>= 0.Sufficient.</span>
Answer:
Yes
Step-by-step explanation:
19/3 is equal to 6.3333 repeating which is rational (repeating decimals are rational)
Answer:
(x -3)² +(y -5)² = 36
Step-by-step explanation:
The center is on the vertical line halfway between the given vertical lines, so is at x=3. It is also on the horizontal line through the point (-3, 5), so is at y=5. The center is 9-3=6 from either tangent line, so this is the radius.
For center (h, k) and radius r, the circle's equation is ...
(x -h)² +(y -k)² = r²
For (h, k) = (3, 5) and r=6, the equation is ...
(x -3)² +(y -5)² = 36 . . . . . . . . does not match any choice written here