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8090 [49]
3 years ago
6

How do you rearrange x = 3g + 2 to make g the subject

Mathematics
1 answer:
Kazeer [188]3 years ago
4 0
X=3g+2
subtract 2 on both sides
x-2=3g
divide by 3 on both sides
x/3-2/3=g
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Given the midpoint and one endpoint of a line segment, find the other endpoint.
neonofarm [45]

Answer:

(-12 , 2)

Step-by-step explanation:

<u>GIVEN :-</u>

  • Co-ordinates of one endpoint = (-4 , -10)
  • Co-ordinates of the midpoint = (-8 , -4)

<u>TO FIND :-</u>

  • Co-ordinates of another endpoint.

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

<em><u>Section Formula :-</u></em>

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

(x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )

<u>PROCEDURE :-</u>

Let the co-ordinates of another endpoint be (x , y)

So ,

(-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )

First , lets solve for x.

=> \frac{x - 4}{2} = -8

=> x - 4 = -8 \times 2 = -16

=> x = -16 + 4 = -12

Now , lets solve for y.

=> \frac{y - 10}{2} = -4

=> y - 10 = -4 \times 2 = -8

=> y = -8 + 10 = 2

∴ The co-ordinates of another endpoint = (-12 , 2)

3 0
3 years ago
Carlos scored 152, 138, and 160 in 3 consecutive
bezimeni [28]
Method 1 :
(152+138+160)÷3 = 150

(152+138+160+198)÷4 = 162

Then his average score will increase

Method 2 :
Since 198 > 150 then the average will increase automatically.

7 0
2 years ago
Find the quotient 3,085 +3
dem82 [27]
3,088 is the answer
5 0
2 years ago
How many diagonals can be drawn from each vertex of a 15-gon?
tangare [24]

Answer:

Correct option: third one -> 12

Step-by-step explanation:

In a polygon with 'n' vertex, we can trace diagonals from one vertex to all vertices, except to the vertex chosen and the two adjacent vertices (because we would have sides and not diagonals), so we would have 'n - 3' diagonals.

If we have a polygon with 15 vertex, the number of diagonals from one vertex is 15 - 3 = 12.

Correct option: third one

5 0
2 years ago
How can you find the area of an irregular polygon using area formulas?
algol [13]
Divide the polygon into separate shapes.  Like a rectangle and then a triangle.  
find the areas of those shapes and then add them together.

6 0
3 years ago
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