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Verdich [7]
3 years ago
8

Find the missing term and the missing coefficient. (6a − )5a = a2 − 35a

Mathematics
1 answer:
djverab [1.8K]3 years ago
4 0
So, (6a - X)*5a = Y*(a^2) - 35a 
<span>=> 6a*5a - X*5a = Y*(a^2) - 35a </span>
<span>=> 30(a^2) - X*5a = Y(a^2) - 35a

</span>30 = Y and 
<span>X*5 = 35 or X = 7 </span>
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\bold{\#1\ Rectangular\ prism:}\\\\V=lwh\\SA=2lw+2lh+2wh=2(lw+lh+wh)\\\\\bold{\#2\ Cylinder:}\\\\V=\pi r^2h\\SA=2\pi r^2+2\pi rh=2\pir(r+h)\\\\\bold{\#3\ Sphere:}\\\\V=\dfrac{4}{3}\pi r^3\\SA=4\pi r^2

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\\\text{we need to calculate the height of two different side walls}\ h_1\ \text{and}\ h_2\\\text{use the Pythagorean theorem:}\\\\h_1^2=\left(\dfrac{l}{2}\right)^2+h^2\to h_1=\sqrt{\left(\dfrac{l}{2}\right)^2+h^2}=\sqrt{\dfrac{l^2}{4}+h^2}=\sqrt{\dfrac{l^2}{4}+\dfrac{4h^2}{4}}\\\\h_1=\sqrt{\dfrac{l^2+4h^2}{4}}=\dfrac{\sqrt{l^2+4h^2}}{\sqrt4}=\dfrac{\sqrt{l^2+4h^2}}{2}

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