Answer:
x = -9
Step-by-step explanation:
Step 1: Write equation
2 + x = -7
Step 2: Solve for <em>x</em>
- Subtract 2 on both sides: x = -9
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
- Substitute: 2 - 9 = -7
- Subtract: -7 = -7
A² + b² = c² ⇒ right triangle
a² + b² < c² ⇒ obtuse triangle
a² + b² > c² ⇒ acute triangle
a = 12 ft ; b = 15 ft ; c = 20 ft
12² + 15² = < > 20²
144 + 225 = < > 400
369 < 400 OBTUSE TRIANGLE
√369 = 19.21
20 - 19.21 = 0.79
<span>It is an obtuse triangle. About 0.8 foot needs to be removed from the 20-foot board to create a right triangle.</span>
This equation uses the distributive property.
1. 32 cents
2.im not sure
Answer:

Step-by-step explanation:
<u>Volume And Function
s</u>
Geometry can usually be joined with algebra to express volumes as a function of some variable. The volume of a parallelepiped of dimensions a,b,c is

Our problem consists in computing the volume of a box made with some sheet of metal 12 ft by 18 ft. The four corners are cut by a square distance x as shown in the image below
.
If the four corners are to be lifted and a box formed, the base of the box will have dimensions (12-2x)(18-2x) and the height will be x. The volume of the box is

Operating and simplifying
