6i^4 = 6*1 = 6
6i^3 = 6*(-i) = -6i
-2i^2 = (-2)*(-1) = 2
sqrt(-49) = 7i
So, we have: 6 - 6i + 2 + 7i = 8 + i
The answer is D
Answer:
(6, -3)
Step-by-step explanation:
The actual coordinates are x = -6 and y = 3
If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.
So the final x-coordinate is - (-6) = 6
And the final y-coordinate is - (3) = -3
So the coordinates will be (6, -3).
Answer:

Step-by-step explanation:
We are given the equation

We want to solve for x, therefore we must isolate x on one side of the equation.
14 is being added to 3x. The inverse of addition is subtraction. Subtract 14 from both sides of the equation.



x is being multiplied by 3. The inverse of multiplication is division. Divide both sides of the equation by 3.



Let's check our solution. Plug 7 in for x and solve.




This checks out, so we know our solution, <u>x=7 </u>is correct.
Answer: 15in^2
Step-by-step explanation:
first you need to find the area of the rectangle, so you would multiply 7 and 3, which gives you 21, (A=L•W). So now you need to find the area of the triangles, the formula for that is A= 1/2 b•h, so you get 3in for the area of the triangle, but since there are two and they are the exact same triangle you would just combine them, so the area for both triangles is 6in, so then you would need to subtract the 6 from the 21 so that you can find the area of the shape, and your final answer would be 15in(squared). hopefully you understand
Answer:

hope it helps⁽⁽ଘ( ˊᵕˋ )ଓ⁾⁾