Your multiplying by -4 each time
-1x-4=4
4x-4=-16
-16x-4=64
Answer:
one of the answers is E,F
Step-by-step explanation:
I know this becuase that is a pyramid right there it is an solid but no prims or anything else on there
NOTES:
- squared (²) means multiply that number by itself 2 times
- cubed (³) means multiply that number by itself 3 times
- square root (√) means 2 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
- cubed root (∛) means 3 numbers multiplied by itself on the inside simplify to 1 of that number on the outside of the radical
Answer: (C) 41
<u>Step-by-step explanation:</u>
![\quad 6^2+\sqrt[3]{125} \\= 6 \cdot 6+\sqrt[3]{5\cdot 5 \cdot 5}\\= 36 + 5\\= 41](https://tex.z-dn.net/?f=%5Cquad%206%5E2%2B%5Csqrt%5B3%5D%7B125%7D%20%5C%5C%3D%206%20%5Ccdot%206%2B%5Csqrt%5B3%5D%7B5%5Ccdot%205%20%5Ccdot%205%7D%5C%5C%3D%2036%20%2B%205%5C%5C%3D%2041)
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Answer: (C) 10
<u>Step-by-step explanation:</u>
![\bigg(\dfrac{7}{3}\times \sqrt[3]{27}-2\bigg)\times \dfrac{1}{5} + \sqrt{81}](https://tex.z-dn.net/?f=%5Cbigg%28%5Cdfrac%7B7%7D%7B3%7D%5Ctimes%20%5Csqrt%5B3%5D%7B27%7D-2%5Cbigg%29%5Ctimes%20%5Cdfrac%7B1%7D%7B5%7D%20%2B%20%5Csqrt%7B81%7D)
![=\bigg(\dfrac{7}{3}\times \sqrt[3]{3\cdot 3 \cdot 3}-2\bigg)\times \dfrac{1}{5} + \sqrt{9\cdot 9}](https://tex.z-dn.net/?f=%3D%5Cbigg%28%5Cdfrac%7B7%7D%7B3%7D%5Ctimes%20%5Csqrt%5B3%5D%7B3%5Ccdot%203%20%5Ccdot%203%7D-2%5Cbigg%29%5Ctimes%20%5Cdfrac%7B1%7D%7B5%7D%20%2B%20%5Csqrt%7B9%5Ccdot%209%7D)





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8² = 8 · 8 = 64 11² = 11 · 11 = 121
5³ = 5 · 5 · 5 = 125 3³ = 3 · 3 · 3 = 27
![\sqrt[3]{64}=\sqrt[3]{4\cdot 4\cdot 4}=4](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B64%7D%3D%5Csqrt%5B3%5D%7B4%5Ccdot%204%5Ccdot%204%7D%3D4)
![\sqrt[3]{8000}=\sqrt[3]{20\cdot 20\cdot 20}=20](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B8000%7D%3D%5Csqrt%5B3%5D%7B20%5Ccdot%2020%5Ccdot%2020%7D%3D20)
Answer:
(- 1, 2 )
Step-by-step explanation:
Given the 2 equations
- 3x - 5y = - 7 → (1)
- 4x + 5y = 14 → (2)
Add the 2 equations term by term to eliminate y , that is
- 7x + 0 = 7
- 7x = 7 ( divide both sides by - 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
- 3(- 1) - 5y = - 7
3 - 5y = - 7 ( subtract 3 from both sides )
- 5y = - 10 ( divide both sides by - 5 )
y = 2
solution is (- 1, 2 )
Given:
A plane is normal to the vector = -2i+5j+k
It contains the point (-10,7,5).
To find:
The component equation of the plane.
Solution:
The equation of plane is

Where,
is the point on the plane and
is normal vector.
Normal vector is -2i+5j+k and plane passes through (-10,7,5). So, the equation of the plane is





Therefore, the equation of the plane is
.