No, they are not equivalent. The first term, -4 1/2 equals 4 whole units and one half unit. All negative. So it’s like you have someone 4 and 1/2 dollars.
The second term, (-4)1/2 means multiplying -4 times 1/2. Doing the multiplication for this gives you -4/2. Solving the division here is -2. It’s taking away 1/2 dollar 4 times.
I hope this helped. Happy to answer any questions you have.
Hexagon ABCDEF has has vertices A(-2,4), B(0,4), C(2,1), D(5,1), E(5,-2), F(-2,-2). Sketch the figure on the coordinate plane. W
Andreyy89
<span>A regular hexagon is defined as a hexagon that is both equilateral and equiangular. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle).
The common length of the sides equals the radius of the circumscribed circle, which equals {\displaystyle {\tfrac {2}{\sqrt {3}}}} {\displaystyle {\tfrac {2}{\sqrt {3}}}} times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular hexagon has 6 rotational symmetries (rotational symmetry of order six) and 6 reflection symmetries (six lines of symmetry</span>
3p^4(4p^4 + 7p^3 + 4p + 1)
<span>=<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span><span><span><span>4<span>p^4</span></span>+<span>7<span>p^3</span></span></span>+<span>4p</span></span>+1</span>)</span></span></span><span>=<span><span><span><span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>4<span>p^4</span></span>)</span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>7<span>p^3</span></span>)</span></span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(<span>4p</span>)</span></span></span>+<span><span>(<span>3<span>p^4</span></span>)</span><span>(1)</span></span></span></span><span>=<span><span><span><span>12<span>p^8</span></span>+<span>21<span>p^7</span></span></span>+<span>12<span>p^5</span></span></span>+<span>3<span>p^<span>4</span></span></span></span></span>
Answer:
65 cm
Step-by-step explanation:
See the attached image. The Pythagorean Theorem says in a right triangle, (leg)^2 + (leg)^2 = (hypotenuse)^2.
