Answer:
Games played= 21 games
Step-by-step explanation:
Giving the following information:
Peyton's field hockey team wins 4 games out of every 7 games played.
We know that Peyton's team loses 3 games out of 7.
So if the team lost 9 games, the proportion is completed 3 times.
Games played= 3*7= 21 games
Answer:
The area of parallelogram ABCD is
Explanation:
Given:
AD = 12 in


To Find:
The area of parallelogram ABCD=?
Solution:
When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.
The area of the parallelogram can be calculated by 
Substituting the value of a=12 we have

<u>To find the value of b,
</u>
We know that area of a triangle can be expressed as,

So,

Cancelling BD and 2 on both sides we get,


Therefore,

Substituting the value of b,

=78.42
So the area of the parallelogram is
Answer:
{8, 24, 72, 216, 648}
Step-by-step explanation:
Geometric sequence:
In a geometric sequence, the quotient of consecutive terms is always the same, that is, each term is the previous term multiplied by the common ratio.
In this question:
First element is 8, common ratio of 3. So
Second term: 8*3 = 24
Third term: 24*3 = 72
Fourth term: 72*3 = 216
Fifth term: 216*3 = 648
So the answer is {8, 24, 72, 216, 648}
Answer:
C) Domain is {2}, Range is {2, 3}
Step-by-step explanation:
For one value of x there are two values of y, which contradicts the definition of a function.
Definition of a function:
A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.
<em>All the other options follow this definition except C</em>
Answer:
(2, 4)
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
- Subtract Property of Equality
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = 2x
x = -y + 6
<u>Step 2: Solve for </u><em><u>y</u></em>
<em>Substitution</em>
- Substitute in <em>x</em>: y = 2(-y + 6)
- Distribute 2: y = -2y + 12
- Isolate <em>y</em> terms: 3y = 12
- Isolate <em>y</em>: y = 4
<u>Step 3: Solve for </u><em><u>x</u></em>
- Define equation: x = -y + 6
- Substitute in <em>y</em>: x = -4 + 6
- Add: x = 2