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sasho [114]
4 years ago
11

Quadratic factorisation Question, help please.

Mathematics
1 answer:
luda_lava [24]4 years ago
6 0
3x^2 + 5x + 2 

a = 3 , b = 5 , c = 2 

Start by mulitplying a*c = 3 * 2 = 6

Now find two number that multiply to 6 and add up to b or 5 

We could use 2 and 3 because ....

   
3 + 2 = 5 
   3 * 2 = 6

Now you rewrite....

3x^2 + 3x + 2x + 2 

Now pull out common factors...

3x ( x + 1 )  + 2 ( x + 1)

The factors of this expression is ( 3x + 2 ) ( x + 1) 
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Please help me to find out the answer
MAXImum [283]

9514 1404 393

Answer:

  80.99 m

Step-by-step explanation:

The hypotenuse of the triangle is given, and the desired side length is the one adjacent to the angle marked. The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

Multiplying by the hypotenuse, we find ...

  RY = (82 m)cos(9°) ≈ 80.99 m

4 0
3 years ago
If $860 is invested for one year at 11% simple interest, how much interest is earned?
Licemer1 [7]
860 *11/100=9460/100=94.6
94.6 is earned

4 0
3 years ago
Amanda placed her finger on the origin of a regular coordinate plane. She marked a point after moving her finger 1 unit to the l
Lubov Fominskaja [6]

Answer:

( x , y ) = ( -1 , - 5 )

Step-by-step explanation:

Solution:-

- The rectangular coordinate system ( Cartesian ) is defined by two independent variables namely, "x and y".

- The values of both varibales lie on the horizontal and vertical line respectively, ( x & y ).

- The values on the horizontal axis also known as the x-axis is marked with a referece of x = 0 ( origin ). All the values to the right of the point of origin are denoted as positive units and all values to the left of the point of origin are denoted as negative units.

- Similarly, The values on the vertical axis also known as the y-axis is marked with a referece of y = 0 ( origin ). All the values to the above the point of origin are denoted as positive units and all values below of the point of origin are denoted as negative units.

- The axis are conventionally oriented such that 90 degrees angle is formed in between them and always denoted in the counter-clockwise direction.

In other words, if +x is pointing to the right then the +y will be pointed in the direction when +x is rotated counter clockwise to 90 degrees; hence, points upward.

- When Amanda starts off at the origin she is at the order pair  ( 0 , 0 ).

- She then moves her finger 1 unit to left ( -x ) and 5 units down ( -y ). Hence, she moves 1 unit along the -x direction and then moves 5 units down along -y direction.

Hence, she is at an ordered pair ( x , y ) = ( -1 , - 5 ) .

3 0
3 years ago
Use a=6 and b=24 to work out the value of these expressions
Reika [66]
A) 30
B) 144
C) 4
D) 900
3 0
3 years ago
Michelle can fold 4 baskets of clothes in 54 minutes, while Ruby can fold 4 baskets of clothes in 108 minutes. How long will it
Lady bird [3.3K]
Michelle can fold 4/54 baskets per minute = 8/108 baskets per minute.
Ruby can fold 4/108 baskets per minute.

Each minute Michelle and Ruby work together, they can fold
   8/108 +4/108 = 12/108 = 1/9
of a basket of clothes. For 8 baskets of clothes, it will take them
   (8 baskets)/(1/9 baskets/minute) = 72 minutes
5 0
4 years ago
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