Answer:
c = -24
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
<u />
Step-by-step explanation:
<u>Step 1: Define</u>
6c - 1 - 4c = -49
<u>Step 2: Solve for </u><em><u>c</u></em>
- Combine like terms: 2c - 1 = -49
- Isolate <em>c</em> term: 2c = -48
- Isolate <em>c</em>: c = -24
Answer:
The coordinates are
and
.
Step-by-step explanation:
First, we have to derive an expression for translation under the assumption that each point of XYZ experiments the same translation. Vectorially speaking, translation from X to X' is defined by:
(1)
Where
is the vector translation.
If we know that
and
, then the vector translation is:



Then, we determine the coordinates for Y' and Z':






The coordinates are
and
.
Answer:
3,900
Step-by-step explanation:
Answer:

Step-by-step explanation:
<em>Let the number be x </em>
So,
=> The sum of number and 15 is x + 15
=> Three times will be 3(x+15)
<u>Given that</u> it equals 24
<u>So, the given condition is:</u>
3(x+15) = 24
<em>Resolving Parenthesis</em>
3x + 45 = 24
<em>Subtracting 45 to both sides</em>
3x = 24 - 45
3x = -21
<em>Dividing both sides by 3</em>
x = -7