Answer: a₁₁ = -11 a₁₂ = -16 a₁₃ = 6 a₁₄ = -10
<u>Step-by-step explanation:</u>
"A" represents the following matrix of unknown values [a₁₁ a₁₂ a₁₃ a₁₄]
[a₁₁ a₁₂ a₁₃ a₁₄] + [11 17 -8 13] = [0 1 -2 3]
a₁₁ + 11 = 0 --> a₁₁ = 0 - 11 = -11
a₁₂ + 17 = 1 --> a₁₂ = 1 - 17 = -16
a₁₃ + -8 = -2 --> a₁₃ = -2 + 8 = 6
a₁₄ + 13 = 3 --> a₁₄ = 3 - 13 = -10
Answer:
16.2 yards
Step-by-step explanation:
8.6 + 2.2 = 10.8. 10.8 x 1.5 = 16.2 yards.
Answer:
r = -7
Step-by-step explanation:
Solve for r:
8 r + 9 = -4 (3 - r) - 7
-4 (3 - r) = 4 r - 12:
8 r + 9 = 4 r - 12 - 7
Grouping like terms, 4 r - 12 - 7 = 4 r + (-7 - 12):
8 r + 9 = 4 r + (-7 - 12)
-7 - 12 = -19:
8 r + 9 = 4 r + -19
Subtract 4 r from both sides:
(8 r - 4 r) + 9 = (4 r - 4 r) - 19
8 r - 4 r = 4 r:
4 r + 9 = (4 r - 4 r) - 19
4 r - 4 r = 0:
4 r + 9 = -19
Subtract 9 from both sides:
4 r + (9 - 9) = -9 - 19
9 - 9 = 0:
4 r = -9 - 19
-9 - 19 = -28:
4 r = -28
Divide both sides of 4 r = -28 by 4:
(4 r)/4 = (-28)/4
4/4 = 1:
r = (-28)/4
The gcd of -28 and 4 is 4, so (-28)/4 = (4 (-7))/(4×1) = 4/4×-7 = -7:
Answer: r = -7
<span>16.6666666667
To solve the problem, do 50 divided by 3. This will give you how many inches the model is.
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