31 is g = -19
32 is x = -9
34 is w = -11
31:
g-(-7) = -12
g+7 = -12
g = -19
32:
-5x = 45 divide by -5
x = -9
33 looks like it has a print error so I can’t figure that out, I don’t know where the |-2| is supposed to be
34:
(w-1)/4 = -3 multiply by 4
w - 1 = -12
w = -11

3 0

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

4 0

3 years ago

The dimensions of an Olympic swimming pool are shown. A scale drawing of the swimming pool has dimensions of 50 centimeters by 1

sergij07 [2.7K]

Answer:

abcdefghijklmnopqrstuvwxyz now i know my abcs next time wont you sing with me

Step-by-step explanation:

now i know my abc next time wont you sing with me

7 0

3 years ago