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lesya [120]
3 years ago
9

Find limit as x approaches 1 for x-1/ x^2-3x+2

Mathematics
1 answer:
zysi [14]3 years ago
8 0

I'm going to assume that you meant the following:

  (x-1)

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

x^2-3x+2


Factoring the denominator, we get:

  (x-1)

------------  

(x-1)(x-2)

Notice that we have x-1 in both the numerator and the denominator.  This factor cancels.  HOWEVER:  x can still not equal 1, which would lead to div. by zero.  With the factor x-1 cancelled, we have   1 / (x-2).  As x approaches 1 from either side, y approaches 1 / (1-2), or 1 / (-1), or -1.  Thus, the limit exists and is -1.

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The perimeter of this triangle is 25 units. An angle bisector divides one side of the triangle into lengths of 2 and 3. Find the
grin007 [14]

Answer:

   8 and 12

Step-by-step explanation:

Sides on one side of the angle bisector are proportional to those on the other side. In the attached figure, that means

  AC/AB = CD/BD = 2/3

The perimeter is the sum of the side lengths, so is ...

  25 = AB + BC + AC

  25 = AB + 5 + (2/3)AB . . . . . . substituting AC = 2/3·AB. BC = 2+3 = 5.

  20 = 5/3·AB

  12 = AB

  AC = 2/3·12 = 8

_____

<em>Alternate solution</em>

The sum of ratio units is 2+3 = 5, so each one must stand for 25/5 = 5 units of length.

That is, the total of lengths on one side of the angle bisector (AC+CD) is 2·5 = 10 units, and the total of lengths on the other side (AB+BD) is 3·5 = 15 units. Since 2 of the 10 units are in the segment being divided (CD), the other 8 must be in that side of the triangle (AC).

Likewise, 3 of the 15 units are in the segment being divided (BD), so the other 12 units are in that side of the triangle (AB).

The remaining sides of the triangle are AB=12 and AC=8.

7 0
3 years ago
HURRY QUICK!!
antiseptic1488 [7]

After plotting all the three points, we get the parabolic equation in the form is 2(x - 1)²-34.

<h3>What is parabola?</h3>

Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line.

General equation of the quadratic equation,

Y = ax² + bx +c

Given points,

(-2, 0),

(-1, -10),

(4, 0).

Putting the points in the general equation,

Putting (-2, 0), we get

0 = 4a - 2b + c

Putting (-1, -10), we get

-10 = a - b +c

Putting (4, 0), we get

0 = 16a + 4b +c

Solving all equations we get,

a = 2 , b = -4 , c = -16

After putting the values,

Y = 2x²- 4x- 16

2(x² - 2x - 8)

2(x²- 2x + 1 - 1 - 16)

=2(x - 1)²-34

Hence we get the required equation in the parabolic form.

To know more about parabola, visit :

brainly.com/question/21685473

#SPJ1

5 0
1 year ago
11.) Mrs. Collins is buying supplies for her classroom. Pencils cost
ki77a [65]

Answer:

the total cost will be $14

Step-by-step explanation:

a) 0.05p + 0.45f

b) 0.05(100) + 0.45(20)=

5+9

14

4 0
2 years ago
I need helppp... Pleasee I will thank you forever!!
4vir4ik [10]

Answer:

$15    

correct if wrong pls

Step-by-step explanation:

42+56+129= 227 total of deposits

17+32+18= 67 total of withdrawals

227-67= 160

160-145=15 answer

correct if wrong but i think thats the answer

6 0
3 years ago
Helppppp pleaseeee xxxx
Ivanshal [37]

Answer:

area of sector dfe=(360-110)/360×πr²=250/360×22/7×4²=34.9=35ft²

8 0
3 years ago
Read 2 more answers
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