Answer:
The product of 2x + y and 5x – y + 3 is 10x^2+ 3xy + 6x - y^2 + 3y
Step-by-step explanation:
The product of the two expressions can be expressed mathematically as;
(2x +y) (5x -y +3)
To obtain the product of these expressions, we simply expand the brackets as follows;
2x(5x -y +3) + y(5x -y +3)
= 10x^2 - 2xy + 6x + 5xy - y^2 + 3y
= 10x^2- 2xy + 5xy + 6x - y^2 + 3y
= 10x^2+ 3xy + 6x - y^2 + 3y
The product of 2x + y and 5x – y + 3 is thus 10x^2+ 3xy + 6x - y^2 + 3y
Answer:
Height = 1 inch
Step-by-step explanation:
area of triangle = 1/2 x base x height
11.5 =1/2 x 23 x height
23/23 = height
height = 1
Answer:
Part A
The given numbers are 14.25 and 0.86
By multiplying the two numbers, we have;
14.25 × 0.86 = 12.255
By adding the two numbers, we have;
14.25 + 0.86 = 15.11
Therefore, addition gives the greatest solution because one of the number is a fraction less than one
Part B
By dividing the two numbers (Dividing the larger number, 14.25 by the smaller number 0.86), we have 14.25/0.86 ≈ 16.57
Therefore, dividing the larger number by the smaller fraction gives a solution larger than the solution found in part A because the larger number multiplied by (1 - the inverse smaller fraction number) is larger than the value of the smaller (fraction) number
Step-by-step explanation:
Step-by-step explanation:
1. ΔABC=ΔCDE: a) according to the condition BC=CD and AC=CE; b) m∠(BCA)=m∠(DCE).
2. if ΔABC=ΔCDE, then m∠(BAC)=m∠(DEC) and m∠(ABC)=m∠(CDE).
3. if m∠(BAC)=m∠(DEC), then AB || DE (or if m∠(ABC)=m∠(CDE), then AB || DE).
Let x represent the number of trays of dog bone treats made and y represent number of trays of oatmeal dog treats made.
