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3 years ago

A polygon has the following coordinates: A(2,-3), B(-2,3), C(2,2). What is the length of AC?

Mathematics

1 answer:

kkurt [141]3 years ago

7 0

Answer:

5 units

Step-by-step explanation:

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Write a linear equation based on given information. Through (5,-5) and (4,0)

Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

$(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)$

We find the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5$

Thus, the equation is of the form:

$y = -5x + b$

We substitute a point and find b:

$0 = -5 (4) + b\\0 = -20 + b\\b = 20$

Finally, the equation is:

$y = -5x + 20$

Answer:

$y = -5x + 20$

6 0

3 years ago

Eight times the sum of a number and 4 equals 3

BigorU [14]

The algebraic expression is: $8(x+4)=3$

And Value of x is: $x=\frac{-21}{8}$

Step-by-step explanation:

We need to write the expression of the statement:

Eight times the sum of a number and 4 equals 3

Let the number = x

The expression will be:

$8(x+4)=3$

Solving the expression to find value of x:

$8(x+4)=3\\8x+24=3\\Adding\,\,-24\,\,on\,\,both\,\,sides:\\8x+24-24=3-24\\8x=-21\\x=\frac{-21}{8}$

So, The algebraic expression is: $8(x+4)=3$

And Value of x is: $x=\frac{-21}{8}$

Keywords: Algebraic Expression

Learn more about Algebraic Expression at:

#learnwithBrainly

3 0

3 years ago

Help fast worth 10points

Nina [5.8K]

Answer:

30 ( I think so)

Step-by-step explanation:

Well, the total measurement 4 a triangle is 90. So 60 and 60 is 120 so it should be 30. If not I am sorry for being wrong.

7 0

3 years ago

D={x | x is an integer and -3 < x <1

Anarel [89]

-2, -1, 0
These would be the options

4 0

3 years ago

A plane is flying from Albuquerque new Mexico to Austin Texas so far it has flown 161 miles or 23% of the total distance of the

Karo-lina-s [1.5K]

Answer: 700 miles.

Step-by-step explanation:

1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.

2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call $x$ ) as following:

$\frac{161miles}{23\%}=\frac{x}{100\%}$

Solve for $x$ . Then, you obtain that the result is:

$x=\frac{161miles*100\%}{23\%}\\x=700miles$

3 0

3 years ago