Step-by-step explanation:
Hey there!
The given midpoint is; X(-8,4) and G(2,-9).
To find: H
Now; You need to use formula for midpoint.
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<u>Pu</u><u>t</u><u> all</u><u> values</u><u>.</u>
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<u>As</u><u> </u><u>the</u><u>y</u><u> are</u><u> </u><u>eq</u><u>ual</u><u>,</u><u> </u><u>their</u><u> </u><u>corres</u><u>ponding</u><u> </u><u>eleme</u><u>nts</u><u> </u><u>are</u><u> </u><u>eq</u><u>ual</u><u>.</u>
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<u>x</u><u> </u><u>=</u><u> </u><u>-</u><u>1</u><u>8</u>
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<u>There</u><u>fore</u><u>,</u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>1</u><u>7</u><u>.</u>
<u>There</u><u>fore</u><u>,</u><u> </u><u>H</u><u> </u><u>=</u><u>(</u><u> </u><u>-</u><u>1</u><u>8</u><u>,</u><u>1</u><u>7</u><u>)</u><u>.</u>
<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Hello :
sin(x) + cos(x) = √2(1/√2 sin(x) +1/√2 cos(x))
but : 1/√2 = cos(π/4) = sin(<span> π/4)
</span>sin(x) + cos(x) = √2( cos(π/4)sin(x) + sin( π/4) cos(x)) =√2<span>sin(x + π/4)
</span>because : cos(π/4)sin(x) + sin( π/4) cos(x)=sin(x + π/4) by identity :
sin(a+b) = sina cosb +cosa sinb
Formula for the area of a face of a cube: A = length x width
Let's find the area of one face.
A = 5 x 5
A = 25
Now, let's multiply the area of one face by 6 because a cube has 6 faces.
25 x 6 = 150
A = 150 square centimeters
Hope this helps! :)
V=(4/3)pir^2
c=2pir
12=2pir
divide 2
6=pir
divide by pi
6/pi=r
sub for r
V=(4/3)pi(6/pi)^2
V=(4/3)pi(36/(pi^2))
V=(4/3)(36/pi)
V=144/(3pi)
V=48/pi
aprox pi=3.141592
V=15.2788777155
V=15.28 in^3
Answer:
the answer is 7 units
Step-by-step explanation: