Answer:
- 2 < x < 16
- 3 < x < 19
- 14 < x < 18
- 4 < x < 16
- 13 < x < 47
- 0 < x < 10
- 1 < x < 7
Step-by-step explanation:
The minimum third side is the difference of the given sides; the maximum third side is their sum.
If you like, you can have a spreadsheet calculate these for you. That seems like more work than just doing them in your head.
Answer:
x > 15
Step-by-step explanation:
simplify both sides of the inequality
2x + 9 > 39
subtract 9 from both sides
2x + 9 - 9 > 39 -9
2x > 30
divide both sides by 2
2x/2 > 30/2
x > 15
In this one, you must make h = 0.
You get :

which can be further simplified to

if you divide all of the numbers by -2.
Here you can use the quadratic formula again!
You get the numbers to be :
1.97 and -2.22I had made a mistake to think that negative numbers can be included but in these questions, you can't have negative numbers as your answer. So the correct answer is
1.97!
Answer:
42ft^2
Start by splitting the "trapezoid" into two shapes ; triangle and square.
The triangle is a right triangle, so we can use the Pythagorean theorem to find its bottom side so we can find the unknown length of the square. This will also tell us the base of the triangle.
3^2 + b^2 = 5^2
b = 4
This means the square has the dimensions of 9ft by 4ft.
Multiply 9(4) for the area of the square --> A = b(h) = 9(4) = 36ft^2
Now for the triangle,
A= 1/2(b)(h)
base is 4, height is 3 thus:
A=1/2(4)(3) --> 12(1/2) = 6ft^2
Add the area of the triangle and square for the total area:
36ft^2 + 6ft^2 = 42ft^2