Answer:
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P=2x+2y, y=(p-2x)/2
a=xy, using y found above in this equation gives you:
a=(px-2x^2)/2 we are told a=12 and p=16 so
12=(16x-2x^2)/2
24=16x-2x^2
2x^2-16x+24=0
2x^2-12x-4x+24=0
2x(x-6)-4(x-6)=0
(2x-4)(x-6)=0
2(x-2)(x-6)=0
So the table is 2 ft by 6 ft.
Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
Break it off where the triangle goes into a square/ rectangle
