Answer:
Area of the parallelogram is 96 
.
Step-by-step explanation:
A parallelogram is a quadrilateral with parallel and equal length of opposite sides. The diagonals are perpendicular to each other.
Area of a parallelogram is given as,
Area = base x height
Thus for the given parallelogram with base 12 cm and height 8 cm, the area would be;
Area = base x height
= 12 x 8
= 96
Area = 96
The area of the parallelogram is 96 .
Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)
Answer:
3x^2+14x-5
Step-by-step explanation:
Use the foil method. Multiply 3x by (x+5) first, then multiply -1(x+5). This produces 3x^2+15x-x-5, reduce to get 3x^2+14x-5.
Answer:
44 units
Step-by-step explanation:
just answered on edg 2020
