Answer:
y - 2 = 2(x - 3).
Step-by-step explanation:
The point -slope form of a line is:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
Here m = 2, x1 = 3 and y1 = 2. So we have the equation:
y - 2 = 2(x - 3).
The answer to the problem is 17
Answer:
42.78⁹, 137.22⁹.
Step-by-step explanation:
sine Ф=0.6792
Angle Ф in the first quadrant = 42.78 degrees.
The sine is also positive in the second quadrant so the second solutio is
180 - 42.78
= 137.33 degres.
Answer:
![y=20\sqrt{1}](https://tex.z-dn.net/?f=y%3D20%5Csqrt%7B1%7D)
Step-by-step explanation:
The construction of the figure gives us three right triangles, where we can apply Pythagora's Theorem.
I have added two variables to the image in the picture attached.
On the triangle with sides y,h,16 we have:
![y^2-16^2=h^2](https://tex.z-dn.net/?f=y%5E2-16%5E2%3Dh%5E2)
On the triangle with sides h,z,25 we have:
![z^2-25^2=h^2](https://tex.z-dn.net/?f=z%5E2-25%5E2%3Dh%5E2)
Equating
:
![y^2-16^2=z^2-25^2\qquad\qquad [1]](https://tex.z-dn.net/?f=y%5E2-16%5E2%3Dz%5E2-25%5E2%5Cqquad%5Cqquad%20%5B1%5D)
On the bigger triangle with sides y,z,16+25=41 we have:
![y^2+z^2=41^2](https://tex.z-dn.net/?f=y%5E2%2Bz%5E2%3D41%5E2)
Adding this last equation with [1]:
![y^2-16^2+y^2+z^2=z^2-25^2+41^2](https://tex.z-dn.net/?f=y%5E2-16%5E2%2By%5E2%2Bz%5E2%3Dz%5E2-25%5E2%2B41%5E2)
Simplifying:
![2y^2-16^2=41^2-25^2](https://tex.z-dn.net/?f=2y%5E2-16%5E2%3D41%5E2-25%5E2)
Operating:
![2y^2-256=1681-625](https://tex.z-dn.net/?f=2y%5E2-256%3D1681-625)
![2y^2=1056-256](https://tex.z-dn.net/?f=2y%5E2%3D1056-256)
![2y^2=800](https://tex.z-dn.net/?f=2y%5E2%3D800)
Dividing by 2:
![y^2=400](https://tex.z-dn.net/?f=y%5E2%3D400)
Taking square root:
y=20
To enter the number in the required format:
![\boxed{y=20\sqrt{1}}](https://tex.z-dn.net/?f=%5Cboxed%7By%3D20%5Csqrt%7B1%7D%7D)
Answer:
Step-by-step explanation:
<u>Given recursive formula:</u>
- a₁ = -1
- aₙ = - 3aₙ₋₁ + 6 for n ≥ 2
<u>The first 4 terms are:</u>
- a₁ = - 1, given
- a₂ = - 3*(-1) + 6 = 3 + 6 = 9
- a₃ = - 3*(9) + 6 = - 27 + 6 = - 21
- a₄ = - 3*(-21) + 6 = 63 + 6 = 69