2/3(x-7)=-2
2/3x-14/3=-2
2/3x=-2+14/3
2/3x=-6/3+14/3
2/3x=8/3
3/2(2/3x)=8/3(3/2)
6/6x=24/6
x=4
If angle ABC is 90°, then angle CBD is 90°:
Angle ABD=90°
3x°=90°
3x=90
Solving for x:
3x/3=90/3
x=30
Angle CBD=90°
(2x+3y)°=90°
2x+3y=90
x=30
2(30)+3y=90
60+3y=90
Solving for y:
60+3y-60=90-60
3y=30
3y/3=30/3
y=10
Answer: Option a. 10
Answer:
(0,1/5) and (1/9,0)
Step-by-step explanation:
3/5x +1/3y=1/15
To find intercepts, plug in 0
y-intercept: 3/5(0) + 1/3y=1/15
y=1/15*3 = 3/15 = 1/5 or 0.2
x-intercept: 3/5x + 1/3(0) = 1/15
3x=1/15*5/3
x=5/45= 1/9
1,3,9,27,81 are the number factor of 81.
Answer:
(-19, 55)
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 = -3x - 2
5x + 2y = 15
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 5x + 2(-3x - 2) = 15
- Distribute 2: 5x - 6x - 4 = 15
- Combine like terms: -x - 4 = 15
- Isolate <em>x</em> term: -x = 19
- Isolate <em>x</em>: x = -19
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = -3x - 2
- Substitute in <em>x</em>: y = -3(-19) - 2
- Multiply: y = 57 - 2
- Subtract: y = 55
