Answer:
x=1
Step-by-step explanation:
5x+2=3x+4(2x-1)
5x+2=3x+8x-4
5x+2=11x-4
5x-11x=-4-2
-6x=-6
6x=6
x=1
Answer: h = 5
Step-by-step explanation:
Easy. 5 + 9 = 14
Since the minimum value is 0 and axis of symmetry is -2 this means that the vertex is at -2,0 now with the y intercept of 4. You can now plug the values into Vertex form which will be y=a(x-h)^2+k. a being the shrink or stretch of the parabola, h being the x value of the vertex, and k being the y value of the vertex. with all of that plugged in it should look like y=(x+2)^2. You can check this equation by plugging in 0 as x which should find the y intercept of 4. So it should then look like y=(0+2)^2 -> y=(2)^2 -> y=4
Answer:
-8/5
Step-by-step explanation:
The thing that makes lines different from other kinds of curves is their <em>constant rate of change</em>. We call this rate of change <em>slope</em>, and you usually see it represented with the letter <em>m</em>. We measure it as the rate our y-coordinate changes for some amount our x-coordinate changes.
We're given the two points (-1, 4), and (4, -4). From that first point to the second one, our x-coordinate <em>increases </em>by 5, while our y-coordinate <em>decreases </em>by 8, so our change in y is -8 for every 5 in the positive x direction, and we'd write our slope as
m = -8/5
There are many different combinations.
We just need two numbers that when you multiply them you get 12.
We can have:
Length = 1
Width = 12
Length = 12
Width = 1
Length = 2
Width = 6
Length = 6
Width = 2
Length = 3
Width = 4
Length = 4
Width = 3