9514 1404 393
Answer:
y = 5
Step-by-step explanation:
There are a number of ways to get there, but the short of it is that a horizontal line has the equation ...
y = constant
The constant value must be chosen to match the y-value of points on the line. Here, that is 5. The equation of the line is ...
y = 5
_____
<em>Another way</em>
You can write the equation in slope-intercept form if you know the slope and the y-intercept. The line crosses the y-axis at y = 5, so that is the value of the y-intercept.
The "rise" between the two points is 5 -5 = 0. The "run" between the two points is 5-0 = 5, so the slope is ...
m = rise/run = 0/5 = 0
Then the slope-intercept equation is ...
y = mx + b . . . . . where m is the slope and b is the y-intercept
y = 0x +5
Simplifying, we get ...
y = 5
Answer:
x = -1
Step-by-step explanation:
Both tables show a function value of 9 for x = -1.
x = -1 is the solution to f(x) = g(x), since f(-1) = 9 = g(-1).
Answer:
B) 25
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
<u>Algebra II</u>
- Distance Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
Point (-1, -8)
Point (-4, -4)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute in points [Distance Formula]:
- [√Radical] (Parenthesis) Subtract:
- [√Radical] Evaluate exponents:
- [√Radical] Add:
- [√Radical] Evaluate:
Answer:
The answer to the question provided is letter D.
Step 1: multiply the numbers in front of the parentheses with each term inside the parentheses
15p - 9 = 5p - 5
Step 2: get like terms on the same side
10p = 4
Step 3: divide both sides by 10
p = 4/10
Step 4: simplify
p = 2/5