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zheka24 [161]
3 years ago
8

Y-4=-3(x-3) in standard form

Mathematics
1 answer:
Stels [109]3 years ago
4 0

Answer:3x+y=13

Step-by-step explanation:

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You randomly draw a marble from a bag, record its color, and then replace it. You draw a red marble 3 out of 20 times. What is t
Mumz [18]

Answer:

3/20 or 0.15 or 15%

Step-by-step explanation:

Since 3 red marbles were drawn out of 20 outcomes, the probability the next marble will be red is 3/20. If you convert it to a decimal it will be 0.15, and if you convert it to a percent it will be 15%.

6 0
2 years ago
Select the correct answer.
mrs_skeptik [129]
A 90 degree rotation about its center
6 0
3 years ago
Eight times the difference of a number and three is sixty-four
Virty [35]

Answer:

8 (n - 3) = 65

Step-by-step explanation:

the difference of a number and three means n - 3

8 times the difference of means that it will be 8 and then parenthesis the next terms that are said, so 8 (?)

is sixty-four means = 64

so put it together and you have 8 (n - 3) = 65

8 0
3 years ago
find an equation of the tangent plane to the given parametric surface at the specified point. x = u v, y = 2u2, z = u − v; (2, 2
Alexxandr [17]

The surface is parameterized by

\vec s(u,v) = x(u, v) \, \vec\imath + y(u, v) \, \vec\jmath + z(u, v)) \, \vec k

and the normal to the surface is given by the cross product of the partial derivatives of \vec s :

\vec n = \dfrac{\partial \vec s}{\partial u} \times \dfrac{\partial \vec s}{\partial v}

It looks like you're given

\begin{cases}x(u, v) = u + v\\y(u, v) = 2u^2\\z(u, v) = u - v\end{cases}

Then the normal vector is

\vec n = \left(\vec\imath + 4u \, \vec\jmath + \vec k\right) \times \left(\vec \imath - \vec k\right) = -4u\,\vec\imath + 2 \,\vec\jmath - 4u\,\vec k

Now, the point (2, 2, 0) corresponds to u and v such that

\begin{cases}u + v = 2\\2u^2 = 2\\u - v = 0\end{cases}

and solving gives u = v = 1, so the normal vector at the point we care about is

\vec n = -4\,\vec\imath+2\,\vec\jmath-4\,\vec k

Then the equation of the tangent plane is

\left(-4\,\vec\imath + 2\,\vec\jmath - 4\,\vec k\right) \cdot \left((x-2)\,\vec\imath + (y-2)\,\vec\jmath +  (z-0)\,\vec k\right) = 0

-4(x-2) + 2(y-2) - 4z = 0

\boxed{2x - y + 2z = 2}

6 0
2 years ago
Sally works for 38 hours per week.
IgorLugansk [536]
Her new weekly range would be 874€ because she works 38 hours a week and you would do 23 times 38.
6 0
3 years ago
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