<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Answer: Josh sold 11 book shows and Jessica sold 198 books.
Look at the attachment for the work.
Answer:
the volume of a sphere = 4 ⁄ 3 πr^3
when r=2inches
Step-by-step explanation:
the volume of a sphere = 4 ⁄ 3 π×2³=32/3π or 33.5 inches³
Answer:
m = 9
Step-by-step explanation:
8/12 = 6/m
8m = 72
m = 9
Answer:
(-1)ⁿ(3)ⁿ/10
Step-by-step explanation:
The first term a = 0.3, the second term, ar = 0.9. The common ratio r = ar/a = 0.9/-0.3 = -3.
From the general term of a geometric series,
U = arⁿ⁻¹
= (0.3)(-3)ⁿ⁻¹
= (3/10)(-3)ⁿ⁻¹
= (-1)ⁿ⁻¹(3)(3)ⁿ⁻¹/10
= (-1)ⁿ(3)ⁿ/10
