The equation is saying x minus 7 is greater than -6, so treat the inequality symbol just how you would with a normal =. So x-7=-6, you need to find x, so to find x you need to keep x alone. So you get rid of the -7, so to do that since it is a negative you add 7 to -6, so that would mean that x=1. Now you put the inequality symbol back. So now it's x>1. This is the solution, x is greater than 1, or x>1. Hope this helps
As long as you keep the signs with the numbers the order doesn't matter. The cumulative property says that you can flip the numbers in any order and it will equal the same amount.
PEMDAS is important
Parentheses
Exponents
Multiplication
Division
Adding
Subtracting
There's no parentheses or exponents, so the first is multiplication. 9*3 is 27. Next is division, 6/2 is 3. Next is adding.
15+3+27=45
<h3>
Answer: 16 square units</h3>
Let x be the height of the parallelogram. Right now it's unknown, but we can solve for it using the pythagorean theorem. Focus on the right triangle. It has legs a = 3 and b = x, with hypotenuse c = 5
a^2 + b^2 = c^2
3^2 + x^2 = 5^2
9 + x^2 = 25
x^2 = 25-9
x^2 = 16
x = sqrt(16)
x = 4
This is a 3-4-5 right triangle.
The height of the parallelogram is 4 units.
We have enough info to find the area of the parallelogram
Area of parallelogram = base*height
Area of parallelogram = 4*4
Area of parallelogram = 16 square units
Coincidentally, the base and height are the same, which isn't always going to be the case. The base is visually shown as the '4' in the diagram. The height is the dashed line, which also happens to be 4 units long.