I think first we calculate the values of x and y and then we draw the graph. Hope this helps you
4+1 = 1+4
\ / \ /
5 = 5
idk tho sorry if its wrong :(
<h3>
Answer: x+4</h3>
This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.
To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4
4+4 = 8
4*4 = 16
So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.
Answer:
Length = 208 yards
Width = 54 yards
Step-by-step explanation:
Let the length of the field be "x" yards and the width be "y" yards. Its given that the length is 8 less than quadruple(4 times) the width. So x is 8 less than 4y. We can write this in equation as:
x = 4y - 8 Equation 1
Perimeter of the field is given to be 524 yards. Since, the field is rectangular, its perimeter is calculated as:
Perimeter = 2 (Length + Width)
Using the values, we get:
2(x + y) = 524 Equation 2
Substituting the value of x from Equation 1 into Equation 2, we get:
2(4y - 8 + y) = 524
2(5y - 8) = 524
5y - 8 = 524/2
5y - 8 = 262
5y = 262 + 8
5y = 270
y = 54 yards
Substituting the value of y in Equation 1, we get:
x = 4y - 8 = 4(54) - 8 = 208 yards
Thus, the length of the playing field is 208 yards and its width is 54 yards.
Answer:
Step-by-step explanation:
y = x^2 - x - 2 is a quadratic function. It's easily factorable: y = (x + 1)(x - 2). Setting this result equal to zero yields the x-intercepts: -1 and 2. This matches the x-intercepts shown on the graph.
The axis of symmetry, x = -b/(2a), derived from the coefficients 1, -1 and -2 of this particular function, is x = 1/2. This x = 1/2 is also the x-coordinate of the vertex. To find the y-coordinate of the vertex, we evaluate y = x^2 - x - 2 at x = 1/2, obtaining:
y = (1/2)^2 - (1/2) - 2, or y = 1/4 - 1/2 - 2, or -2 1/4. This does not quite agree with the y value (-2) shown in the diagram, but is close.
