7.2 units is the distance between the two points (-5,3) and (1, -1).
The formula used for determining the distance between two points is shown below. In case this equation is used for finding the distance between the origin and a point, the value of x1 and y1 would just be equal to zero.
distance = 
The given points can be directly substituted for the formula.
Let: x2= 1, x1= -5, y2= -1, and y1= 3
distance = ![\sqrt{[1-(-5)]^{2} + (-1 -3)^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%5B1-%28-5%29%5D%5E%7B2%7D%20%2B%20%28-1%20-3%29%5E2%20%7D)
distance = 
distance = 
or 7.21 units
When rounded to the nearest tenth, the distance between the two points would be 7.2 units.
For more information regarding the distance between points, please refer to the link brainly.com/question/23848540.
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Answer:
(B) a square matrix
Step-by-step explanation:
The given Equations are:
,
and
Which can be written as:
![\left[\begin{array}{ccc}3&-2&2\\7&3&-26\\-1&-11&46\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-2%262%5C%5C7%263%26-26%5C%5C-1%26-11%2646%5Cend%7Barray%7D%5Cright%5D)
Thus, it is a matrix with 3 number of rows and 3 number of columns, therefore the matrix which has same number of rows and columns is a square matrix, thus, a square matrix can be form using the given system of linear equations.
Answer:
1000
Step-by-step explanation:
10milimeter=1 centimeter
100 centimeters=1 meter
10x100=1000
Let me know if im right :)
Answer:
(4, 5/3)
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
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define Systems</u>
x + 3y = 9
2x - 3y = 3
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Elimination</em>
- Combine equations: 3x = 12
- Divide 3 on both sides: x = 4
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: x + 3y = 9
- Substitute in <em>x</em>: 4 + 3y = 9
- Isolate <em>y</em> term: 3y = 5
- Isolate <em>y</em>: y = 5/3
<u>Step 4: Graph Systems</u>
<em>Check the solution set.</em>
