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3 years ago

Find the point slope equation for the line that passes through the points (7,-21) (-4,23)

1 answer:

5 0

$\bf (\stackrel{x_1}{7}~,~\stackrel{y_1}{-21})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{23}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{23-(-21)}{-4-7}\implies \cfrac{23+21}{-11}\\\\\\ \cfrac{44}{-11}\implies -4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-21)=-4(x-7)\implies y+21=-4(x-7)$

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BabaBlast [244]

Answer:

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Area of semicircle = 0.5π $r^{2}$ = 0.5π×4.5 = 6.75 sq. inches

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3 years ago

Read 2 more answers

1 pt) If a parametric surface given by r1(u,v)=f(u,v)i+g(u,v)j+h(u,v)k and −4≤u≤4,−4≤v≤4, has surface area equal to 1, what is t

natta225 [31]

The area of the surface given by $\vec r_1(u,v)$ is 1. In terms of a surface integral, we have

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By multiplying each component in $\vec r_1$ by 5, we have

$\dfrac{\partial\vec r_2(u,v)}{\partial u}=5\dfrac{\partial\vec r_1(u,v)}{\partial u}$

and the same goes for the derivative with respect to $v$ . Then the area of the surface given by $\vec r_2(u,v)$ is

$\displaystyle\int_{-4}^4\int_{-4}^425\left\|\frac{\partial\vec r_1(u,v)}{\partial u}\times\frac{\partial\vec r_1(u,v)}{\partial v}\right\|\,\mathrm du\,\mathrm dv=\boxed{25}$

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3 years ago

There are some beads in the box. 40% of them were blue and the rest were red. Adam used all the blue beads and 25% of the red be

Shalnov [3]

Answer:

65% of the beads were used to make the bracelet.

Step-by-step explanation:

40% of the beads were blue which means 60% of the beads were red. If all the blue beads were used that means 40% was used so you add the 25% of the red beads that were used which is why the answer is 65%.

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3 years ago

(-0.3) ÷ (-0.2)+(-2.56)<br><br><br> In whole numbers with steps please

Valentin [98]

Answer:

-1 to the nearest whole number.

Step-by-step explanation:

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Order of operations - the division is done first:

= 1.5 = (-2.56)

= 1.5 - 2.56

= -1.06.

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3 years ago

The price of a visit to the dentist is $50. if the dentist fills any cavities an additional charge of $100 per cavity gets added

klio [65]

100x+50= your answer

For example if 3 cavities are filled you would have to multiply 100(3)+50=350

I hope this helps!

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3 years ago