Answer: volume of the cube is (7 cm)^3= 343 cm^3
Answer:
x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 1/2x - 11
g(x) = -5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: -5 = 1/2x - 11
- Isolate <em>x</em> term: 6 = 1/2x
- Isolate <em>x</em>: 12 = x
- Rewrite: x = 12
Answer:
Perimeter = √40 + 6 + 4√2 + √28
Step-by-step explanation:
As we know that the perimeter of a triangle is the sum of the length of sides.
<em>Perimeter = 4√2 + x + 6 + y</em>
Now for x and y-
<u>I. By Pythagorean theorem in left side right angle triangle-</u>
( 4√2)² = 2² + x²
32 - 4 = x²
x² = 28
x = √28
<u>II. By Pythagorean theorem in Right angle triangle-</u>
y² = 2² + 6²
y² = 4 + 36
y² = 40
y = √40
Hence Perimeter = 4√2 + x + 6 + y
P = 4√2 + √28 + 6 + √40
∴ P = √40 + 6 + 4√2 + √28
What are you trying to find out the length of
Answer:
1/4
Step-by-step explanation:
count rise/run to find the slope from A to B rise 1 from A and run 4 to B
m = 1/4