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hoa [83]
1 year ago
8

A line connecting the points (-3,0) and (x, -6)has slope -1. Determine x.

Mathematics
2 answers:
ankoles [38]1 year ago
5 0

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

Digiron [165]1 year ago
5 0

Answer:

  x = 3

Step-by-step explanation:

The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.

__

<h3>setup</h3>

The point-slope form of the equation for a line is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For (h, k) = (-3, 0), and m = -1, the equation is ...

  y -0 = -1(x -(-3))

  y = -x -3

We want x when y = -6, so this becomes ...

  -6 = -x -3

<h3>solution</h3>

Adding x+6 to both sides of the equation, we get ...

  (x +6) -6 = -x -3 +(x +6)

  x = 3 . . . . . . . simplify

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Consider the function f(x) = the quantity x squared minus x minus 12 all over the quantity x plus 3. Describe the graph of this
mamaluj [8]

f(x)=((x-4)(x+3))/(x+3)

simpify

f(x)=x-4

see we eliminated x+3?

That is a hole

find the value of that hole

x+3=0

x=-3

input into simplified function

f(-3)=-3-4

f(-3)=-7

the hole (discontinuity) is at (-3,-7)

f(x)=x-4

where does it cross x axis?

0=x-4

4=x

xint is x=4 or (4,0)

yint is where x=0

f(0)=0-4=-4

yint is (0,-4)


basically

it is a line, f(x)=x-4 with a hole at (-3,7)

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6 0
3 years ago
In a right triangle, the measure of one angle is twenty more than four times a number. The other angle is three times a number.
trapecia [35]
Using a photo is easier

7 0
2 years ago
4−6n=60−2n<br> what is n?
Nadusha1986 [10]

Answer:

n = -14

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4 - 6n = 60 - 2n

<u>Step 2: Solve for </u><em><u>n</u></em>

  1. Add 6n to both sides:                              4 = 60 + 4n
  2. Subtract 60 on both sides:                      -56 = 4n
  3. Divide both sides by 4:                            -14 = n
  4. Rewrite:                                                     n = -14

<u>Step 3: Check</u>

<em>Plug in n into the original equation to verify it is a solution.</em>

  1. Substitute in <em>n</em>:                    4 - 6(-14) = 60 - 2(-14)
  2. Multiply:                               4 + 84 = 60 + 28
  3. Add:                                     88 = 88

Here we see that 88 does indeed equal 88.

∴ n = -14 is a solution of the equation.

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