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Anvisha [2.4K]
3 years ago
5

What is the product of-3 and-13? Enter your answer as a mixed number, in simplified fom, in the box​

Mathematics
1 answer:
koban [17]3 years ago
6 0

Answer:

39

Step-by-step explanation:

-3x(-13) = 39.

If this question was asking for something different I apologize.

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At what point on the paraboloid y = x2 + z2 is the tangent plane parallel to the plane 3x + 2y + 7z = 2? (if an answer does not
Nikitich [7]
If f(x, y, z) = c represent a family of surfaces for different values of the constant c. The gradient of the function f defined as \nabla f is a vector normal to the surface f(x, y, z) = c.

Given <span>the paraboloid

y = x^2 + z^2.

We can rewrite it as a scalar value function f as follows:

f(x,y,z)=x^2-y+z^2=0

The normal to the </span><span>paraboloid at any point is given by:

\nabla f= i\frac{\partial}{\partial x}(x^2-y+z^2) - j\frac{\partial}{\partial y}(x^2-y+z^2) + k\frac{\partial}{\partial z}(x^2-y+z^2) \\  \\ =2xi-j+2zk

Also, the normal to the given plane 3x + 2y + 7z = 2 is given by:

3i+2j+7k

Equating the two normal vectors, we have:
</span>
2x=3\Rightarrow x= \frac{3}{2}  \\  \\ -1=2 \\ \\ 2z=7\Rightarrow z= \frac{7}{2}

Since, -1 = 2 is not possible, therefore there exist no such point <span>on the paraboloid y = x^2 + z^2 such that the tangent plane is parallel to the plane 3x + 2y + 7z = 2</span>.
4 0
3 years ago
3. Determine which of the following pairs is an adjacent side for quadrilateral MOLE below.
yKpoI14uk [10]

Pairs which is Adjacent side for quadrilateral MOLE is given below.

Step-by-step explanation:

Given:

Quadrilateral MOLE

Pair of adjacent sides of the quadrilateral.

Adjacent sides have one vertex common.

Option A: MO and LE

These sides does not have common vertex.

MO and LE are opposite sides in the quadrilateral MOLE.

It is not true.

Option B: EO and ME

In the quadrilateral, ME is not a side.

So it is not true.

Option C: LE and OL

In the quadrilateral, OL is not a side.

So it is not true.

Option D: ML and LE

These sides have common vertex L.

Therefore ML and LE are pair of adjacent sides.

It it true.

Hence ML and LE is a pair of adjacent side for quadrilateral MOLE.

7 0
3 years ago
Please help if you can, thank you
Mariulka [41]

Answer:

1.11333333

Step-by-step explanation:

I calculated using Symbolab

sorry if its wrong

7 0
3 years ago
Read 2 more answers
Convert the point-slope form to slope-intercept form y– 4 = -3(x + 2)
artcher [175]

Answer:

y = -3x - 2.

Step-by-step explanation:

y - 4 =  -3(x + 2)

y - 4 = -3x - 6

y = -3x - 6 + 4

y = -3x - 2.

4 0
3 years ago
What is Log 32 (16)= 4/5 in exponential form
MissTica

Answer:

32^(4/5)=16

Step-by-step explanation:

Log base a (b)=c

a^c=b

8 0
3 years ago
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