Answer:
Part A)
The equation in the point-slope form is:
Part B)
The graph of the equation is attached below.
Step-by-step explanation:
Part A)
Given
The point-slope form of the line equation is
Here, m is the slope and (x₁, y₁) is the point
substituting the values m = 4/3 and the point (-2, 11) in the point-slope form of the line equation
Thus, the equation in the point-slope form is:
Part B)
As we have determined the point-slope form which passes through the point (-2, 11) and has a slope m = 4/3
The graph of the equation is attached below.
Answer:
(-4+2*2)+8
Step-by-step explanation:
2*2=4
-4+4= 0
0+8= -8
The spinner game is an illustration of probability, and the spinner game that is fair is (b) If you spin a number greater than 10, you win.
<h3>How to determine the fair game?</h3>
The number of sections in the spinner is given as:
n = 20
There are 10 numbers greater than 10 i.e. 11 to 2.
So, the probability that a number greater than 10 is spun is:
P = 10/20
P = 0.5
The probability that a number that is not greater than 10 is spun is calculated using the following complement rule
q = 1 - p
This gives
q = 1 - 0.5
Evaluate
q = 0.5
Notice that both probabilities are the equal
Hence, the spinner game that is fair is (b) If you spin a number greater than 10, you win.
Read more about probability at:
brainly.com/question/3581617
Answer:
Step-by-step explanation:
Magnitude: |a|=
Direction: in the negative direction of the Ox axe and Oy axe
Answer:
(8, -8)
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>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>
y = x - 16
5y = 2x - 56
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in <em>y</em>: 5(x - 16) = 2x - 56
- Distribute 5: 5x - 80 = 2x - 56
- [Subtraction Property of Equality] Subtract 2x on both sides: 3x - 80 = -56
- [Addition Property of Equality] Add 80 on both sides: 3x = 24
- [Division Property of Equality] Divide 3 on both sides: x = 8
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x - 16
- Substitute in <em>x</em>: y = 8 - 16
- Subtract: y = -8