Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d =
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d =
d = = 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>
<span>Triangle ACD is similar to triangle ABD</span>
Answer:
(0, 1)
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>
y + 5x = 1
5y - x = 5
<u>Step 2: Rewrite Systems</u>
y + 5x = 1
- Subtract 5x on both sides: y = 1 - 5x
<u>Step 3: Redefine Systems</u>
y = 1 - 5x
5y - x = 5
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitution in <em>y</em>: 5(1 - 5x) - x = 5
- Distribute 5: 5 - 25x - x = 5
- Combine like terms: 5 - 26x = 5
- Isolate <em>x</em> term: -26x = 0
- Isolate <em>x</em>: x = 0
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define equation: 5y - x = 5
- Substitute in <em>x</em>: 5y - 0 = 5
- Subtract: 5y = 5
- Isolate <em>y</em>: y = 1
Answer:
See below
Step-by-step explanation:
r/6 <-6 multiply both sides by 6 to get
<u>r < - 36 </u>
<u />
<u> or</u> 4r+2 > 18 subtract 2 from both sides of the equation
4r > 16 divide both sides by 4
<u> r > 4 </u>