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frozen [14]
3 years ago
8

Wrote the number in 2 other forms 15,409

Mathematics
2 answers:
Scorpion4ik [409]3 years ago
8 0
Fifth teen thousand,four hundred nine
myrzilka [38]3 years ago
4 0
10,000+5,000+400+9
there is one and the other you just put in word form
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Helppppppppppppppppppppppppppppppp
LuckyWell [14K]
Answer:
10√3 which is the last option

Explanation:
√30 * √10 = (30*10)^1/2
                = 300^1/2

300 = 100 * 3
Therefore:
√300 = √100 * √3 = 10√3

Hope this helps :)
5 0
3 years ago
without building the graph, find the coordinates of the point of intersection of the lines given by the equation y=3x-1 and 3x+y
DaniilM [7]
<h2><u>1. Determining the value of x and y:</u></h2>

Given equation(s):

  • y = 3x - 1
  • 3x + y = -7

To determine the point of intersection given by the two equations, it is required to know the x-value and the y-value of both equations. We can solve for the x and y variables through two methods.

<h3 /><h3><u>Method-1: Substitution method</u></h3>

Given value of the y-variable: 3x - 1

Substitute the given value of the y-variable into the second equation to determine the value of the x-variable.

\implies 3x + y = -7

\implies3x + (3x - 1) = -7

\implies3x + 3x - 1 = -7

Combine like terms as needed;

\implies 3x + 3x - 1 = -7

\implies 6x - 1 = -7

Add 1 to both sides of the equation;

\implies 6x - 1 + 1 = -7 + 1

\implies 6x = -6

Divide 6 to both sides of the equation;

\implies \dfrac{6x}{6}  = \dfrac{-6}{6}

\implies x = -1

Now, substitute the value of the x-variable into the expression that is equivalent to the y-variable.

\implies y = 3(-1) - 1

\implies     \ \ = -3 - 1

\implies     = -4

Therefore, the value(s) of the x-variable and the y-variable are;

\boxed{x = -1}   \boxed{y = -4}

<h3 /><h3><u>Method 2: System of equations</u></h3>

Convert the equations into slope intercept form;

\implies\left \{ {{y = 3x - 1} \atop {3x + y = -7}} \right.

\implies \left \{ {{y = 3x - 1} \atop {y = -3x - 7}} \right.

Clearly, we can see that "y" is isolated in both equations. Therefore, we can subtract the second equation from the first equation.

\implies \left \{ {{y = 3x - 1 } \atop {- (y = -3x - 7)}} \right.

\implies \left \{ {{y = 3x - 1} \atop {-y = 3x + 7}} \right.

Now, we can cancel the "y-variable" as y - y is 0 and combine the equations into one equation by adding 3x to 3x and 7 to -1.

\implies\left \{ {{y = 3x - 1} \atop {-y = 3x + 7}} \right.

\implies 0 = (6x) + (6)

\implies0 = 6x + 6

This problem is now an algebraic problem. Isolate "x" to determine its value.

\implies 0 - 6 = 6x + 6 - 6

\implies -6 = 6x

\implies -1 = x

Like done in method 1, substitute the value of x into the first equation to determine the value of y.

\implies y = 3(-1) - 1

\implies y = -3 - 1

\implies y = -4

Therefore, the value(s) of the x-variable and the y-variable are;

\boxed{x = -1}   \boxed{y = -4}

<h2><u>2. Determining the intersection point;</u></h2>

The point on a coordinate plane is expressed as (x, y). Simply substitute the values of x and y to determine the intersection point given by the equations.

⇒ (x, y) ⇒ (-1, -4)

Therefore, the point of intersection is (-1, -4).

<h3>Graph:</h3>

5 0
2 years ago
I need the answer and the explanation/ angle name pls help this is a quiz grade
Sever21 [200]

Step-by-step explanation:

The answer is :-

x and w : Dr. Alpha was meeting up with this patient in the library.

Know why:-

Because x and w are Vertically Opposite Angles! And they are always same!

\tt{Hope \ it \ Helps \ :D}

8 0
3 years ago
7 2,451 people came to watch the Easter parade. 745 of those people were adults. How many children came to the parade?​
lukranit [14]
Take to total number of people attending and subtract the number of adults. The remainder are the children

2,451 - 745 = 1,706
7 0
3 years ago
An $18 item is marked down 30% what is the clearance price
ivanzaharov [21]
18×30%=

18×.30=5.4

5.4 is the amount of clearanceyou get from the item
Know you have to subtract $5.40 from $18.00

18-5.4=12.6

The item is know $12.60
8 0
3 years ago
Read 2 more answers
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