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raketka [301]
3 years ago
12

Three rays have a common vertex on a line. Write and solve equations to find the measures of m and n

Mathematics
1 answer:
lukranit [14]3 years ago
5 0

Answer:

n = 90 - 62

n = 28º

m = 180 - (62 + n + 27)

m = 180 - (62 + 28 + 27)

m = 180 - 117

m = 63º

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2x^3-3x^2-11x+6 divide by x-3
Alexxx [7]

Answer: 2x^2+3x-2

Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do \frac{2x^3}{x}=2x^2. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6

Now do \frac{3x^2}{x} =3x. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6

Your final step is to do \frac{-2x}{x} =-2. Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

2x^2+3x-2 times

4 0
2 years ago
Read 2 more answers
What are the graphs of y=sinx and y=cosx in the interval from -2 pi to 2 pi?
g100num [7]
I used Excel to create the tables and the graphs.

I attached both the tables and the graphs.


You should replace the numbers of the x-axis (in both graphs) by the numbers as a fraction of pi. Those numbers are also included in the table, so you should not have problems with that.


Open and see tha file attached with the answer to your question..
Download pdf
5 0
3 years ago
Need help with Math (Quadratic)
BaLLatris [955]

Answer:

  f(x) = 2(x -3)² +5   or   f(x) = 2x² -12x +23

Step-by-step explanation:

The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.

__

<h3>vertex form</h3>

The vertex form equation for a parabola is ...

  f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

<h3>equation</h3>

For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...

  f(x) = 2(x -3)² +5 . . . . . vertex form equation

Expanded to standard form, this is ...

  f(x) = 2(x² -6x +9) +5

  f(x) = 2x² -12x +23 . . . . . standard form equation

8 0
2 years ago
Marcia is building a doghouse and needs to cut plywood for the roof. Plywood comes in sheets that are 48
djverab [1.8K]

Answer:

A,24ft

Step-by-step explanation:

you have 48^2ft and Marcia needs two squares that are each 12^2ft,

12+12=24

48-24=24

                                                            answer=24ft

8 0
2 years ago
Greg has decreased his running time by minute each of the last six weeks. Write an expression to represent the total change in h
Anettt [7]
Total change in relation to when Greg first started decreasing his run time : -6 minutes (at the end of 6 weeks)

Expression : -x (x is the number of weeks)
6 0
3 years ago
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