If we multiply the bottom equation by 2 and move x to the right, it becomes:
4y = 2x-38
Now we can substitute it for the 4y in the top equation:
3x + (2x-38) = -23 => 5x = -23+38 => 5x = 15 => x=3
Then 4y = 2*3-38 => y = -8
So the solution is (3,-8)
Omg I have the same page as you. But here’s the first one for number 19
So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.
Firstly, the equation to find the axis of symmetry is
, with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:

Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:

Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).
Answer:
J (-4 , 1) -> J' (1 , 4)
K (-2 , 1) -> K' (1 , 2)
L (-2 , 5) -> L' (5 , 2)
Step-by-step explanation:
clockwise rotation 90°: (x,y) -> (y,-x)
J (-4 , 1) -> J' (1 , 4)
K (-2 , 1) -> K' (1 , 2)
L (-2 , 5) -> L' (5 , 2)
Answer:
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
Step-by-step explanation:
Considering the quadrilateral with vertices
Plotting the points into the coordinate plane gives us an observation that this quadrilateral with vertices d(0,0), i(5,5) n(8,4) g(7,1) is a KITE, as shown in figure a.
From the figure a, it is clear that the quadrilateral has
- Two pairs of sides
- Each pair having two equal-length sides which are adjacent
- The angles being equal where the two pairs meet
- Diagonals as shown in dashed lines cross at right angles, and one of the diagonals does bisect the other - cuts equally in half
Please check the attached figure a.
Keywords: kite, quadrilateral
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