<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>
The second answer that uses = is not correct, because the pentagons are similar not congruent.
The third answer is not correct, because that sign means estimated, not similar.
I've never seen the fourth sign, so by process of elimination I believe the answer is the first one.
<span>ABCDE~QRSTU</span>
Answer:
C
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ), thus
A(3, 4 ) → A'(- 3, 4 )
Since the point A and it's reflection lie on a horizontal line then
distance between = | 3 + 3 | = | 6 | = 6
Jim- 60× .45= 27
Dora- 10 of the 60
Ada- 60× .25= 15
Kim- 8 remaining
Jim placed the most with 27
Answer:
Calculated risks are risks that we can take even if we fail. Indeed, there are people willing to risk everything, and some even succeed, in doing so, but one has to see the overall picture in mind and only then make a decision