21, there’s 7 days in a week and three weeks so that would be 3x7=21
X^2 + 9 + 7 = 20
X^2 +16 = 20
X^2 = 20-16
X^2 = 4
Root 4 = 2
X=2
Answer:
- The Number of equal parts the painting was divided into was missing.
Step-by-step explanation:
- Marcus painted 2 parts
- Mariah painted 3 parts
- Tony painted the rest.
<u>Missing Information</u>
Any of these two would help solve the problem
- The number of parts Tony painted
- Number of equal parts the painting was divided into.
Let the painting be divided into <u>7 equal parts</u>
Therefore: Tony Painted 2 parts
<u>Fraction of the Mural Painted by Each Student</u>
![Marcus=\dfrac{2}{7}\\Mariah =\dfrac{3}{7} \\Tony=\dfrac{2}{7}](https://tex.z-dn.net/?f=Marcus%3D%5Cdfrac%7B2%7D%7B7%7D%5C%5CMariah%20%3D%5Cdfrac%7B3%7D%7B7%7D%20%5C%5CTony%3D%5Cdfrac%7B2%7D%7B7%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D2%20%26%203%20%261%20%5C%5C%202%20%26%20-3%20%261%20%5C%5C%200%20%26%20-2%20%263%20%5Cend%7Bbmatrix%7D)
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
The first answer is A then the next answer is C