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Snowcat [4.5K]
3 years ago
14

What’s the equation of a line that passes through (-9,10) and y=3/2x - 3/2

Mathematics
1 answer:
Natalija [7]3 years ago
3 0

Answer:

y = 3x/2 + 23 1/2

Or

y = 3x/2 + 47/2

Step-by-step explanation:

Find the slope

y = 3/2x - 3/2

Equation of a line

y = mx + c

m = 3/2

using a point slope form equation

Substitute the point into the equation

( -9 , 10)

y - y1 = m( x - x1)

x1 = -9

y1 = 10

y - 10 = 3/2( x - (-9)

y - 10 = 3/2( x + 9)

Open the bracket

y - 10 = (3x + 27)/2

y = ( 3x + 27)/2 + 10

LCM = 2

y = ( 3x + 27 + 20)/2

y = ( 3x + 47)/2

Separate to get the value of slope and intercept

y = 3x/2 + 47/2

y = 3x/2 + 23 1/2

The equation of the line is

y = 3x/2 + 23 1/2

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Divide x^3 -3x^2 by x-2<br> . Step 1 - Fill in the missing number:
vagabundo [1.1K]

Answer:


Step-by-step explanation:

First let us write the given polynomial as in descending powers of x with 0 coefficients for missing items

F(x) = x^3-3x^2+0x+0

We have to divide this by x-2

Leading terms in the dividend and divisor are

x^3  and x

Hence quotient I term would be x^3/x=x^2

                                                   x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

Multiply x-2 by x square and write below the term and subtract

We get  

                                                   x-2) x^3-3x^2+0x+0(x^2

x^3-2x^2

                                                         ---------------

-x^2+0x

Again take the leading terms and find quotient is –x

                                                x-2) x^3-3x^2+0x+0(x^2-x

x^3-2x^2

                                                         ---------------

-x^2+0x

                                                                  -x^2-2x

Subtract to get 2x +0 as remainder.

                                                  x-2) x^3-3x^2+0x+0(x^2-x-2

x^3-2x^2

                                                         ---------------

-x^2+0x

                                                                  -x^2+2x

                                                          -------------

                                                                      -2x-0

                                                                              -2x+4

                                                             ------------------

                                                                               -4

Thus remainder is -4 and quotient is x^2-x-2


8 0
4 years ago
Read 2 more answers
Type the numerical answer ONLY. (no spaces)
Fantom [35]

Answer:

98

Step-by-step explanation:

Mathematically, when we add all the angles of a triangle, we get 180

Thus;

x + 1 + 2x-2+ 3x-5 = 180

6x-6 = 180

6x = 186

x = 186/6

x = 31

so the measure of the biggest angle is 3x -5

= 3(31) + 5 = 93 + 5 = 98

7 0
3 years ago
the points plotted below are on the graph of a polynomial. How many roots of the polynomial lie between x=-4 and x=3​
Tems11 [23]

Answer:

1 zero:  Answer C

Step-by-step explanation:

Keep in mind that the polynomial value is zero at any root.  Therefore each point that is a root must lie precisely on the x-axis (where y = 0).  In the graph given there is only one such point  (Answer C)

3 0
4 years ago
Find cos θ if sin θ = -12/13 and tan θ &gt; 0
Anarel [89]
SinФ=-12/13  
cosФ=Base/hypotenus
(hy)^2-(perpendicular)^2=(base)^2=13^2-12^2=5
cosФ=-5/13


6 0
3 years ago
An urgent detailed response is needed as soon
Misha Larkins [42]

Answer:

(a)180-135=45

45/360×100=12.5%

(b)135/360=27/72=9/24=3/8

(c)120/360×72=24

(d)180-120=60

60/360×72=12

I would appreciate if my answer is chosen as a brainliest answer

3 0
2 years ago
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