Answer:
-4
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>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
4x + 5y = -12
-2x + 3y = -16
<u>Step 2: Rewrite Systems</u>
-2x + 3y = -16
- Multiply everything by 2: -4x + 6y = -32
<u>Step 3: Redefine Systems</u>
4x + 5y = -12
-4x + 6y = -32
<u>Step 4: Solve for </u><em><u>y</u></em>
<em>Elimination</em>
- Combine 2 equations: 11y = -44
- Divide 17 on both sides: y = -4
Answer:
Since g(x) = f(2x), this means we substitute 2x in place of x for f(x):
g(x) = f(2x) = (2x)² = 4x²
Graphing this, the parabola is not moved from the parent graph f(x) = x², but the graph is compressed horizontally by a factor of 4.Step-by-step explanation:
Answer:
Option C
The length of RT is 14
Step-by-step explanation:
For a given Right Triangle
m∠R = 90°, RG = 17, TG = 22
Now, <u>By Pythagoras Theorem</u>
(RT)² + (RG)² = (TG)²
(RT)² = (TG)² - (RG)²
(RT)² = (22)² - (17)²
(RT)² = 484 - 289
(RT)² = 195
RT = √195
RT = √195 = 13.96 = 14
Thus, The length of RT is 14
<u>-TheUnknownScientist</u>