Rewrite 5050 as 52⋅252⋅2.Tap for fewer steps...Factor 2525 out of 5050.√25(2)252Rewrite 2525 as 5252.√52⋅252⋅2Pull terms out from under the radical.5√252The result can be shown in both exact and decimal forms.Exact Form:5√252Decimal Form:7.07106781…
<span><span><span><span>hello
(x−5)</span>2</span>−33</span><span><span><span>(x-5)</span>2</span>-33</span></span>Reorder the right side of the equation to match the vertex form of a parabola.<span><span>y=<span><span>(x−5)</span>2</span>−33</span><span>y=<span><span>(x-5)</span>2</span>-33</span></span>Since <span><span>−5</span><span>-5</span></span> does not contain the variable to solve for, move it to the right side of the equation by adding <span>55</span> to both sides.<span><span>x=5</span><span>x=5</span></span>Use the vertex form, <span><span>y=a<span><span>(x−h)</span>2</span>+k</span><span>y=a<span><span>(x-h)</span>2</span>+k</span></span>, to determine the values of <span>aa</span>, <span>hh</span>, and <span>kk</span>.<span><span>a=1</span><span>a=1</span></span><span><span>h=5</span><span>h=5</span></span><span><span>k=−33</span><span>k=-33</span></span>Since the value of <span>aa</span> is positive, the parabola opens up.Opens UpFind the vertex <span><span>(h,k)</span><span>(h,k)</span></span>.<span><span>(5,−33)</span><span>(5,-33)</span></span>Find <span>pp</span>, the distance from the vertex to the focus.Tap for more steps...<span><span>14</span><span>14</span></span>Find the focus.Tap for more steps...<span><span>(5,−<span>1314</span>)</span><span>(5,-<span>1314</span>)</span></span>Find the axis of symmetry by finding the line that passes through the vertex and the focus.<span>x=5</span>
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Answer:
Area of the rectangle is 10x²+7-6
Step-by-step explanation:
Area of rectangle is the product of its length and width
As length of given rectangle is 5x+6 and its width is 2x-3 the are is
(5x+3)(2x-3)
=5x·2x-5x+6·2x-6
=10x²-5x+12x-6
=10x²+7x-6
Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.
The length of the rope = 21 feet
the length of each strip = ![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20)
We need to cut the rope 21 feet into
strips
To find the number of strips we divide 21 feet by the length of the strip
=
= 105
105 strips can Bruce cut from his rope.