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Eva8 [605]
3 years ago
10

Which equation is an identity?

Mathematics
2 answers:
zloy xaker [14]3 years ago
3 0
3w + 8 - w = 4w - 2(w - 4)
is an identity
3w-w + 8 = 4w - 2w + 8
2w + 8 = 2w + 8
2w - 2w = 8 - 8
0 = 0
zero equal to zero implies that any value of w satisfies the statement 3w + 8 - w = 4w - 2(w - 4) hence it is an identity.
adoni [48]3 years ago
3 0

3w + 8 - w = 4w - 2(w - 4) is the identity.

-  Prodixy ☕

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Segment PH is graphed on the coordinate grid where P is (-31,8) and H is (29,-10). Point E is the midpoint of segment PH. If poi
maks197457 [2]

Answer:

The coordinates of point A are (-11 , 2)

Step-by-step explanation:

- The coordinates of point P are (-31 , 8)

- The coordinates of point H are (29 , -10)

- Point E is the mid-point of segment PH

- The coordinates of the the mid-point are:

→ x=\frac{x_{1}+x_{2}}{2} and y=\frac{y_{1}+y_{2}}{2}

∵ E is the mid-point of segment PH

∴ The x-coordinate of point E is x=\frac{-31+29}{2}=-1

∴ The x-coordinate of point E is -1

∴ The y-coordinate of point E is y=\frac{8+-10}{2}=-1

∴ The y-coordinate of point E is -1

∴ The coordinates of point E are (-1 , -1)

- Point A is graphed \frac{2}{3} of the way along the segment from P to E

- That mean the distances from points P to A is 2 parts and from P to E

  is 3 parts, then the distance from A to E is "3 - 2" = 1 part

- So point A divides the line segment PE at ratio 2 : 1 from P

- The coordinates of the division point are:

→ x=\frac{x_{1}m_{2}+x_{2}m_{1}}{m_{1}+m_{2}} and y=\frac{y_{1}m_{2}+y_{2}m_{1}}{m_{1}+m_{2}}

∵ Point A divides PE at ratio 2 : 1

∵ The coordinates of point P are (-31 , 8)

∵ The coordinates of point E are (-1 , -1)

∴ The x-coordinate of point A is x=\frac{(-31)(1)+(-1)(2)}{2+1}= -11

∴ The x-coordinate of point A is -11

∴ The y-coordinate of point A is x=\frac{(8)(1)+(-1)(2)}{2+1}=2

∴ The y-coordinate of point A is 2

∴ The coordinates of point A are (-11 , 2)

* The coordinates of point A are (-11 , 2)

3 0
3 years ago
Help please much appreciated
larisa [96]
The answer is a.........
6 0
3 years ago
Read 2 more answers
Anyone know the area?
Elina [12.6K]
Answer:  The area of the triangle is:  " 8.5 cm² " ; 

                                         or, write as:  " 8\frac{1}{2} cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:

A = (\frac{1}{2}) * b * h ;
   
in which:  A = area; 
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{also, can be written as:  " A = (b * h) / 2 " .}.
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A = (b * h) / 2 ;

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    = 65 cm² / 2 ;

A  = " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
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Answer:  " 8.5 cm² " ; or, write as:  " 8\frac{1}{2} cm² " .
_________________________________________________________
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