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3 years ago

In order to inscribe a circle in a triangle, which line must you construct?

Mathematics

1 answer:

dalvyx [7]3 years ago

4 0

Answer:

You must construct an angle bisector. The point where two angle bisectors meet is the center of the circle.

The correct answer is D. angle bisector.

Hope this helps =)

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Which matrix represents the system of equations shown below? 3x-5y=12 4x-2y=15

tatuchka [14]

Answer:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

Step-by-step explanation:

When making a matrix of two equations with the variables x and y, the result will be a matrix with three columns:

a column for the values of x in each equation
a column for the values of y in each equation
a column for the independent values of each equation

since our system of equations is:

$3x-5y=12\\ 4x-2y=15$

we can see that the value for x in the first equation is 3 and in the second equation is 4, thus the first column will have the numbers 3 and 4:

$\left[\begin{array}{ccc}3&&\\4&&\\\end{array}\right]$

Now for the values of y we hvae -5 in the first equation and -2 in the second equation, we update the matrix with another column with the values of -5 and -2:

$\left[\begin{array}{ccc}3&-5&\\4&-2&\\\end{array}\right]$

Finally, the last column is the independent values of each equation (or the results) in the first equation that number is 12 and in the second equation is 15, thus the matrix is:

$\left[\begin{array}{ccc}3&-5&12\\4&-2&15\\\end{array}\right]$

usually there is a line separating the columns for the values of x and y, and the independent values:

$\left[\begin{array}{ccc}3&-5 &|12\\4&-2 &|15\\\end{array}\right]$

this is the matrix of the system of equations

6 0

3 years ago

An easy question all wrong or unhelpful or no-work answers will be reported.

miss Akunina [59]

Elimination:

7x - 3y = 20
5x + 3y = 16
(add)
12x = 36
÷ 12
x = 3

(5 × 3) + 3y = 16
15 + 3y = 16
- 15
3y = 1
÷ 3
y = 1/3

Substitution:

5x + 3y = 16
- 3y
5x = 16 - 3y
÷ 5
x = 3.2 - 0.6y

5(3.2 - 0.6y) + 3y = 16
16 - 3y + 3y = 16
16 = 16
- 16
6y = 0
÷ 6
y = 0

Sorry the substitution messed up for some reason, I'll fix it after I've answered the other question

6 0

3 years ago

What is greater 8ft or 3yr

timama [110]

3yr is greater than 8ft

3 0

3 years ago

Read 2 more answers

How can you tell if a function is linear by looking at the graph or the equation

MrMuchimi

Every linear graph is just a straight line, so if there are any curves or unnatural shapes, than you know it is not linear. As for equations, if it can be shaped into y=mx+b where m and b are numbers, then it will be a linear equation.

7 0

3 years ago

What is special about the factored form of answer N-16x2 - 1?

Ivanshal [37]

Answer:

<em>Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.</em>

Step-by-step explanation:

Every time you have a difference in the format of

A2−B2 you can factor as (A−B)(A+B).

Then you have to identify if your quantity is the difference of two squared quantities.

It is. In fact we can write it as:

16x2−1=(4x)2−12

Then we can apply our rule

${(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)$

6 0

3 years ago