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2 years ago

12

Solve please 3y^4t^-2/11y^-4

1 answer:

FrozenT [24]2 years ago

8 0

Answer:

$\dfrac{3y^8}{11t^2}$

Step-by-step explanation:

$\dfrac{3y^4t^{-2}}{11y^{-4}} =$

$= \dfrac{3y^{4 - (-4)}}{11t^2}$

$= \dfrac{3y^8}{11t^2}$

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5,250 as scientific notation

earnstyle [38]

$\text{Hey there!}$

$\text{5.250 as a scientific notation}$

$\bf{The\ answer\ is:}$ $\boxed{\bf{5.25 \times10^3}}}}$

$\text{Because, we had to move your decimal approximately 3 placecs to the left}$

$\rightarrow\tex{= 5250. }$

$\boxed{\text{That's how we know the answer is: \bf{\boxed{5.25 \times10^3}}}}\checkmark$

$\text{Good luck on your assignment and enjoy your day!}$

~ $\frak{LoveYourselfFirst:)}$

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2 years ago

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a line whose perpendicular distance from the origin is 4 units and the slope of perpendicular is 2÷3. Find the equation of the l

GrogVix [38]

Answer:

$\huge\boxed{y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{2}{3}x+\dfrac{4\sqrt{13}}{3}}$

Step-by-step explanation:

The equation of a line:

$y=mx+b$

We have

$m=\dfrac{2}{3}$

substitute:

$y=\dfrac{2}{3}x+b$

The formula of a distance between a point and a line:

General form of a line:

$Ax+By+C=0$

Point:

$(x_0,\ y_0)$

Distance:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+b^2}}$

Convert the equation:

$y=\dfrac{2}{3}x+b$ |<em>subtract $y$ from both sides</em>

$\dfrac{2}{3}x-y+b=0$ |<em>multiply both sides by 3</em>

$2x-3y+3b=0\to A=2,\ B=-3,\ C=3b$

Coordinates of the point:

$(0,\ 0)\to x_0=0,\ y_0=0$

substitute:

$d=4$

$4=\dfrac{|2\cdot0+(-3)\cdot0+3b|}{\sqrt{2^2+(-3)^2}}\\\\4=\dfrac{|3b|}{\sqrt{4+9}}$

$4=\dfrac{|3b|}{\sqrt{13}}\qquad|$ |<em>multiply both sides by $\sqrt{13}$ </em>

$4\sqrt{13}=|3b|\iff3b=-4\sqrt{13}\ \vee\ 3b=4\sqrt{13}$ |<em>divide both sides by 3</em>

$b=-\dfrac{4\sqrt{13}}{3}\ \vee\ b=\dfrac{4\sqrt{13}}{3}$

Finally:

$y=\dfrac{2}{3}x-\dfrac{4\sqrt{13}}{3}\ \vee\ y=\dfrac{4\sqrt{13}}{3}$

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2 years ago

The are of a paraleelogram is 150 square meter. The height of the parallelogram is 15 meters. What is the lenht of the parallelo

Len [333]

Answer:

2,500

Step-by-step explanation:

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Answer:just subtract 8 from both sids then add 17 to both then do the dam probkemits ez

Step-by-step explanation:dddddddd

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Faces of a rectangular prism and a cude

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There are 6 faces in a rectangular prism and cube*

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