Easy peasy
the midpoint between
and
is
just average them
so given that (3,5) is the midpoint of (-4,5) and (x,y)
so by logic
and
times both sides by 2 for everybody
-4+x=6 and 5+y=10
add 4 to both sides for left one and minus 5 from both sides for right
x=10 and y=5
the coordinate of point C is (10,5)
the x coordinate is 10
Parallel means the slopes are equal, so -4 stays the same, and for the line to fall on (2,29) the y int must be 37.
so, answer: y=-4x+37
Answer:
(f + g)(x) = x² + x - 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Functions
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 1 - x
g(x) = x² + 2x - 5
(f + g)(x) is f(x) + g(x)
<u>Step 2: Solve</u>
- Substitute in functions: (f + g)(x) = (1 - x) + (x² + 2x - 5)
- Combine like terms (x): (f + g)(x) = x² + x - 5 + 1
- Combine like terms: (f + g)(x) = x² + x - 4
Answer:
1042
Step-by-step explanation:
-38,-8,22,52
The common difference is 52 - 22 = 30
a_1 = -38
a_2 = -38 + 30
a_3 = -38 + 2 * 30
a_4 = -38 + 3 * 30 (notice that the common difference is multiplied by 1 less than the term number)
a_n = -38 + (n - 1)30 (since the term number is n, we multiply the common difference by n - 1)
a_n = -38 + 30(n - 1)
a_37 = -38 + 30(37 - 1)
a_37 = 1042
