HELP ME! THE LENGTH OF THE RECTANGLE.
1 answer:
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Answer:
Please find the answer in the image attached
Step-by-step explanation:
Here we are asked to solve a pair of linear inequalities.
In order to do so , we are first required to plot the two lines with inequalities taking into considerations.
Hence let us plot
x+2y=-4 and 5x+2y=4
let us first plot x+2y=-4
let us plot a table for the same for two random values of x and putting them into above equation
x y
0 -2
2 -3
Let us now plot these points and join the line .
Let us check whether (0,0) satisfies the in equation or not
0+2(0)≤-4
0≤-4
Which is not true , Hence we shade the portion divided by our line which does not contain (0,0)
Now let us plot the second line 5x+2y=4
let us plot a table for the same for two random values of x and putting them into above equation
x y
0 2
1 -0.5
Let us now plot these points and join the line .
Let us check whether (0,0) satisfies the in equation or not
5(0)+2(0)≤4
0≤4
Which is true , Hence we shade the portion divided by our line which does contain (0,0)
Please refer to the image attached with this answer.
now the commonly shaded area as shown in the image will be our solution to the above pair of in equations.
Answer:
x=3
Step-by-step explanation:
Set equations equal to each other:
Subtract two from both sides
Factor out x^2 from the left side
Factor the right side, look for two factors of 9, which add to -6, which is just -3 and-3
So as you can see here, we have both sides in factored form, and both have a factor of (x-3) on both sides, and if one of the factors is zero, then the entire thing becomes zero, since 0 * anything= zero.
this means a solution would be at x=3, since it makes the right side 0 * 0 = 0, and the left side (3)^2 * 0 = 0
It's important to notice this, since had we divided by x-3 to make the equation a quadratic, we would've excluded this real solution, because when dividing by x-3 the solution x=3 makes it 0, so we would've been dividing by zero.
So one of the real solutions is at x=3