Sara can make 8 bouquets, with 3 yellow flowers and 2 red ones in each bouquet. How pretty !
Factors of 35: 1; 5; 7; 35
Factors of 60: 1; 2; 3; 4; 5; 6; 10; 12; 15; 20; 30; 60
<span>Greatest Common Factor GCF(35; 60) = 5</span>
Answer:
f(x) = -5x - 4
Step-by-step explanation:
We want to get the inverse of the following function:
f^-1(x) = (-1/5)x - 4/5
To do that, we have to replace x with f(x) and f^-1(x) with x, as follows:
x = (-1/5)f(x) - 4/5
And then solve for f(x), the inverse of f^-1(x).
x + 4/5 = (-1/5)f(x)
f(x) = -5x + (-5)4/5
f(x) = -5x - 4
To check our result we compute a pair (x, f(x))
x f(x)
1 -5*1 - 4 = -9
which has to be equivalent to (-9, 1) in the original function
x f^-1(x)
-9 (-1/5)*(-9) - 4/5 = 1
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points
and
is given by,
Slope = 
Slope of AB = 
= 
Slope of AD = 
= Not defined (Parallel to y-axis)
Slope of DC = 
= 
Slope of BC = 
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC = 
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.