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
Parallel graphs have the same slope. perpendicular has opposite reciprocal slopes. These equations have slopes of -2/5 and 25 so they are neither.
The total amount of degrees in a triangle is 180. All three angles should add up to 180˚
We know that 40+60 = 100
The next step is to do 180-100 to get the other angle.
180-100 = 80
So the measure of the third angle is 80˚
Hope this helps!
(Also if you want to do this in one equation, you would do 40+60+x = 180
40+60+x = 180
100+x = 180 (combine like terms)
x = 80 (Subtract 100 from both sides)
Answer:
Step-by-step explanation:
<u><em>h. -1</em></u>
<u><em>i. 5</em></u>
<u><em>j. 11</em></u>
<u><em>k. -3</em></u>
<u><em>l. 1</em></u>
<u><em></em></u>
<u><em>Hope it helps.</em></u>
Answer:
1. area of new pen = 11 
2. i. 5 feet by 2 feet
ii. 2 ½ feet by 4 ½ feet
Step-by-step explanation:
The size of the pen as planned = 5 ft long by 4 ½ ft wide
Area of the pen = length x width
= 5 x 4 ½
= 5 x 
Area of the pen = 
= 22 ½
But, Krista has to make the pen ½ the size of planned. So that;
area of new pen = ½ x 22 ½
= ½ x
= 
= 11
area of new pen = 11
The area of the new pen would be 11 .
The possible values she could use are:
i. 5 feet by 2 feet
ii. 2 ½ feet by 4 ½ feet
