Answer:
4x - 1 and x + 6 are the factors of given Trinomial
Step-by-step explanation:
The given Trinomial is:
We can factorize this trinomial by mid-term splitting. The mid-term(23x) can be split up in two terms (24x and -x) such that their sum is 23x and their product(-24x²) is equal to the product of other two terms (4x² and -6)
So, the above expression can be written as:
Therefore, 4x - 1 and x + 6 are the factors of given Trinomial
Answer:
(13, 16)
Step-by-step explanation:
Point A has coordinates (3,2) Point b has the coordinates (27,30)
Therefore the width of the diagram = 27 - 3 = 24 units and the height of the diagram = 30 - 2 = 28 unit
The length of the square = 28 unit / 4 square = 7 unit
Also, half of the height of the diagram = 28/2 = 14 unit
Therefore the x coordinate is given by:
27 - (2 × 7) = 27 - 14 = 13 or 27 - 14 (=13) or 3 + 7 + (24 - 3 × 7) = 13
Also, the y coordinate is given by:
30 - (2 × 7) = 30 - 14 = 16 or 30 - 14 (=16) or (30 + 2)÷2 = 16
Therefore the coordinate for point C is given by (13, 16)
Multiply 80 miles by 4 hours to get 320 miles for 4 hours.
Answer:
Greatest number of flowers in a bouquet = 9 flowers
Step-by-step explanation:
Total no. of roses = 18
Total no. of daisies = 9
Total no. of tulips = 45
To find the greatest no. of flowers that can be arranged in the bouquet such that there are same number of flowers and same type of flowers in the bouquet, we will take the H.CF (highest common factor) of 18,9,45
H.C.F of 18,9,45 = 9
Hence, the greatest number no. of flowers that can be arranged in the bouquet = 9 flowers.
Answer:
Step-by-step explanation:
The translation speed of the wheel is:
The angular speed of the wheel is:
