Answer:
width = 16 cm
length = 19 cm
Step-by-step explanation:
Let the width be x cm.
Given that length is 3 cm more than width then
length = x+3 cm
area of rectangle = 304 square cm. -----1
area of rectangle is given by
area =length * width
substituting from equation 1 and length and width in terms of x we have
304 = x(x+3)
As length cannot be negative hence x = 16
Thus width = x = 16 cm
length = x+3 = 16+3 = 19 cm
Answer:
Choice A. (10, -1)
Choice B. (-8, 9)
Choice D. (6, -3)
Step-by-step explanation:
If we plug the coordinates of point A into the inequality, then we get,
x+y > -2
10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.
If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.
