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myrzilka [38]
3 years ago
15

Factor this expression completely and then place the factors in the proper location on the grid. Note: Place factors alphabetica

lly in the grid! mn - 4m - 5n + 20
Mathematics
1 answer:
hram777 [196]3 years ago
8 0
Mn - 4m - 5n + 20

(mn - 4m) + (-5n + 20)

m(n - 4) + (-5n + 20)

m(n - 4) - 5(n - 4)

(m - 5)(n - 4)

So mn - 4m - 5n + 20 completely factors to (m - 5)(n - 4)
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Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the
KonstantinChe [14]

Answer:

The center of the circle is

(-\frac{3}{2},2)

Step-by-step explanation:

Let the equation of the circle be

x^2+y^2+2ax+2by+c=0, where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

\implies c=0

B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

\implies -6a+c=-9

But c=0

\implies -6a=-9

\implies a=\frac{3}{2}

C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

1+4+2a+4b+c=0

2a+4b+c=-5

Put the value of 'a' and 'c' to find 'b'

2(\frac{3}{2})+4b+0=-5

3+4b+0=-5

4b=-5-3

4b=-8

b=-2

Hence the center of the circle is

(-\frac{3}{2},2)

8 0
3 years ago
Each answer choice below represents a relation by a set of ordered pairs. In which of the answer choices is the relation a funct
alexdok [17]

Answer:

A - Not Function

B - Function

C - Function

D - Not Function

E - Function

Step-by-step explanation:

For a relation to be a function, each value of input should have exactly one output. Which means that for one value of x, there should only one value of y. If the relation has repetition of x in its ordered pairs, it means that for one value of x, there are two or more values of y, hence the relation is not a function

(Consult the diagram below)

<h3>A - {(6,12),(3,1),(−1,13),(6,4)} </h3>

As x = 6 is being repeat, it means that x=6 has two values of y that are 12 and 4. IT IS NOT A FUNCTION.

<h3>B - {(−1,−2),(−4,−4),(0,−5),(7,−5)} </h3>

No repetition of x, IT IS A FUNCTION.

<h3 /><h3>C - {(−5,1),(4,10),(5,10),(6,7)} </h3>

No repetition of x, IT IS A FUNCTION.

<h3 /><h3>D - {(−1,4),(1,6),(−1,−2),(0,7)} </h3>

As x = -1 is being repeat, it means that x=-1 has two values of y that are 4 and -2. IT IS NOT A FUNCTION.

<h3>E - {(−2,8),(2,1),(−4,8),(7,9)}</h3>

No repetition of x, IT IS A FUNCTION.

5 0
2 years ago
ra\\For spirit week at a local high school, students were encouraged to wear their school colors of green and white. 1,200 stude
s344n2d4d5 [400]

Answer:

<em>20%</em>

Step-by-step explanation:

<em>First, add 1,200, and 300. That gives you 1,500. You want to find how much percent of 1,500 equals 300, and that is 20%.</em>

4 0
2 years ago
Read 2 more answers
Please help, I don't know what this is, thank you
Marianna [84]

Answer:

Step-by-step explanation:

3 0
3 years ago
There is an "X" drawn on a sheet of paper. One of the smaller angles created is 57 degrees. What are the other 3 angle measures?
sukhopar [10]
In total the answer has to be 180 degrees so the other 2 angels would be any 2 numbers that when you add them and 57 together you get 180
7 0
2 years ago
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