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avanturin [10]
3 years ago
10

Help me please ASAP

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Perimeter is 24.

Length is 4 greater than the width.

Let's use 'x' for width

we can write this as x+4   +   x+4    +    x    +    x

x+4 being the width+4     and    x being the width

There are 4 sides to a rectangle so you are adding 4 values

Two length and two widths

so  we can then combine  the two lengths to make 2x+8

and then combine the two widths to make 2x

Then put it together.       2x+2x+8= 4x+8

4x+8=24

Subtract 8 from both sides

4x=16

divide both sides by 4

x=4

The width is 4.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
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<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

        y - intercept = (0, 1)            2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\

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<em>see attached</em> - the graphs intersect at two points:  (-2, 5) and (2, -3)


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