Answer:
x = 19
Step-by-step explanation:
The shape of the flower base has six sides of equal lengths. This means that the flower base is a regular hexagon. A regular hexagon is a closed polygon with six equal sides and six equal angles.
Each side of the base measures x - 6, and the perimeter of the base is 78 units.
Length of each side = x - 6
The total length of the base = perimeter of the base.
The total length of the base is gotten by summing all the sides of the base. Since the base has 6 sides, therefore the total length of the base = 6(x - 6). Hence:
Perimeter of base = 6(x - 6)
78 = 6x - 36
6x = 78 + 36
6x = 114
x = 114 / 6
x = 19
Length of each side of base = x - 6 = 19 - 6 = 13 units
Answer:9 square units
Step-by-step explanation:
To find the slope and y-intercept, we first need to put this equation in Slope Intercept Form (SIF). SIF is y=mx+b where "m" is the slope and "b" is the y-intercept.
To put the equation in slope intercept form, we need to isolate y and simplify the other terms.
5x+4y=2
-5x -5x
4y=-5x+2
/4 /4
y=5/4x+2/4
y=5/4x+1/2
Using the math above, we can see that the slope is 5/4 and the y-intercept is 1/2.
3/7 is the answer for this problem