Answer:
x = -18
Step-by-step explanation:
Please, share the instructions when you post a problem. I can only assume here that you want to solve the given equation for x.
Multiplying out this equation, we get:
-5x - 20 = -4x - 2
Then:
-x = 18 and x = -18.
We are given
length of rectangle is 4x-3
width of rectangle is 6x+9
we know that
Area of rectangle = length of rectangle*width of rectangle
so, we can plug value
and we get
now, we can distribute it
now, we can simplify it
...............Answer
Answer:
Step-by-step explanation:
In all 30-60-90 triangles, the side lengths are in ratio 
, where 
is the side opposite to the 30 degree angle and 
is the hypotenuse, or longest side, of the triangle.
Since there are 180 degrees in a triangle, the angle on top must be 30 degrees. Therefore, its opposite side is 6 and 
in the ratio .
Thus, we have:
Answer:
To determine the common ratio of a geometric sequence. You just need to divide any two consecutive terms on it. You can see below that all of them have the same quotient.
1.2 / 1.5 = 0.8
0.96 / 1.2 = 0.8
0.768 / 0.96 = 0.8
.
Decimal form = 0.8
Fraction form = 4/5
.
Check:
1.5 x 0.8 = 1.2
1.5 x 4/5 = 6/5 = 1 1/5 = 1.2
Therefore, the common ratio between successive terms in the sequence? 1.5, 1.2, 0.96, 0.768 is 0.8 or 4/5.
