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2 years ago

Someone help. Foundation

Mathematics

1 answer:

Romashka-Z-Leto [24]2 years ago

4 0

Answer:

rotation of 90 degrees counterclockwise centered at the origin

Step-by-step explanation:

Just look at one single point of A and what must happen to it to become the corresponding point in B.

Look at point (2, 1) in figure A. Draw a segment from (0, 0) to (2, 1).

The corresponding point in figure B to (2, 1) is (-1, 2). Now draw a segment from (0, 0) to (-1, 2). Look at the relationship between the two segments.

The segment (0, 0) to (2, 1) is perpendicular to the segment (0, 0) to (-1, 2).

The transformation is a rotation of 90 degrees counterclockwise centered at the origin.

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Multiply 6√3 • 8√14 • √10 • √2

uranmaximum [27]

Answer:

96 sqrt(210)

Step-by-step explanation:

6√3 • 8√14 • √10 • √2

We multiply what is outside the square roots with what is outside the square roots and what is inside the square roots with what is inside the square roots

6*8 = 48

3*14*10*2 = 840

6√3 • 8√14 • √10 • √2

48 sqrt(840)

48 sqrt( 4*210)

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3 years ago

Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

topjm [15]

Answer:

the volume of the parallelepiped is = 36

Step-by-step explanation:

given,

P(1, 0, −1), Q(3, 3, 0), R(3, −3, 0), S(1, −2, 2)

PQ = Q - P = (2, 3, 1)

PR = R - P = (2, -3 , 1)

PS = S - P = (0, -2 , 3)

now volume of parallelopiped

[PQ PR PS] = $\begin{bmatrix}2 & 3 &1 \\ 2 & -3 &1 \\ 0 & -2 &3 \end{bmatrix}$

now calculating determinant of the matrix

= 2 (-9+2) - 3 (6-0) + 1 (-4-0)

= -14 - 18 - 4

= -36

hence , the volume of the parallelepiped is = 36

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Answer:

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Step-by-step explanation:

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