Answer:
(0, -3)
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
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
- Terms/Coefficients
- Coordinates (x, y)
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
6x - 5y = 15
x = y + 3
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: 6(y + 3) - 5y = 15
- Distribute 6: 6y + 18 - 5y = 15
- Combine like terms: y + 18 = 15
- [Subtraction Property of Equality] Subtract 18 on both sides: y = -3
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define original equation: x = y + 3
- Substitute in <em>y</em>: x = -3 + 3
- Add: x = 0
Answer:
Step-by-step explanation:
Let
x ----> the measure of one angle of the triangle
y ---> the measure of the second angle
z ----> the measure of the third angle
we know that
The sum of the measure of the interior angles in any triangle must be equal to 180 degrees
-----> equation A
One angle of a triangle measures 10 degrees more than the second
----> equation B
The measure of the third angle is twice the sum of the first two angles
---> equation C
substitute equation B in equation C
----> equation D
substitute equation D and equation B in equation A
solve for y
Find the value of x
Find the value of z
therefore
0 because the square root of zero is zero and two divided by zero is zero
Answer:
Step-by-step explanation:
x²+x²=9²
2x²=81
x²=81/2=(81×2)/4
x=9√2/2≈4.5√2≈6.36
9.
x²+x²=11²
2x²=11²
x²=11²/2
x=11/√2=11√2/2≈7.78
Answer:1/12
Step-by-step explanation: if the loop 11/12 of a mile and she rode for 1/2 of a mile then 1/3 , subtract what she rode from 11/12 then you get 1/12
