3 years ago

(-2, 8) and (1,2) slope

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

4 0

Answer:

X=6

Y= -1

Step-by-step explanation:

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7 students brought lunch from home

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1 year ago

Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

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3 years ago

Solve for x 0°<x<360<br>3cos2x +sinx=1

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Step-by-step explanation:

3cos2x +sinx=1

3(1-2sin²x)+sinx=1

3-6sin²x+sinx=1

sinx(-6sinx+1)=1

either

sinx=1

sinx=sin(90)

:.x=90

-6sinx+1=1

-6sinx=1-1

sinx=0/-6

sinx=sin0,sin180

:.x=0,180and90

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2 years ago

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:29 Identify the pattern for the following sequence. Find the next three terms in the sequ

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Hello!

Since the numbers are going up by 4 every time the next 3 are 1, 5, and 9

So the answer is D

Hope this helps!

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2 years ago

What is the volume, in cubic inches, of a cylinder with a height of 16 inches and a base radius of 3 inches

icang [17]

Answer:

452.39 would be the volume

Step-by-step explanation:

V = π r² h

3.14 x 9 x 16

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3 years ago