The slope intercept form is y= -2x+2
The Cost of installing the artificial soccer pitch is $5360
A rectangle is a quadrilateral (has four sides and four angles) in which opposite sides are parallel and equal.
The soccer pitch us rectangle in shape. Hence:
Perimeter of soccer pitch = 2(length + width) = 2(91 + 43) = 268 meters
Cost of installing the pitch = $20 per meter * 268 meters = $5360
The Cost of installing the artificial soccer pitch is $5360
Find out more on perimeter at: brainly.com/question/16596982
The midpoint would be (-2, -1)
3x+4x+5x=54
12x=54
x=4.5
Plug in the value of x into all three segments.
AB= 3*4.5= 13.5
BC= 4*4.5= 18
AC= 5*4.5= 22.5
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
