Answer:
(3, -6)
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>
- Coordinates (x, y)
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 4x - 18
y = -5x + 9
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em> [2nd Equation]: 4x - 18 = -5x + 9
- [Addition Property of Equality] Add 5x on both sides: 9x - 18 = 9
- [Addition Property of Equality] Add 18 on both sides: 9x = 27
- [Division Property of Equality] Divide 9 on both sides: x = 3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Substitute in <em>x</em> [1st Equation]: y = 4(3) - 18
- Multiply: y = 12 - 18
- Subtract: y = -6
Answer:
29
Step-by-step explanation:
at 9 on both sides to get m alone
-9+m=20
+9. +9
m= 29
Answer:
x= 0.78 (rounded to the hundredth)
Step-by-step explanation:
-5.5x + 0.46 = -3.94
You need to isolate x so the easiest thing to do is subtract 0.46 and move it to the other side of the equal sign.
-5.5x= -3.84 - 0.46
-5.5x = -4.3
divide -5.5 to get x alone
x= -4.3/-5.5
x= 0.78
Answer:
Answer:
33.14\°
Step-by-step explanation:
Let
Y ----> field of vision that Yash's camera would need
we know that
Applying the law of sines
\frac{sin(Y)}{25}=\frac{sin(41\°)}{30}
Solve for sin(Y)
sin(Y)=\frac{sin(41\°)}{30}(25)
Y=sin^{-1}[\frac{sin(41\°)}{30}(25)]
Y=33.14\°
