Answer:
Step-by-step explanation:
x = 2
step-by-step explanation:
if sr parallel to ba then the sides bc and ac are in proportion, that is
\frac{sb}{cs} = \frac{ra}{cr} ← substitute values
\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )
27x = 6(4x + 1)
27x = 24x + 6 ( subtract 24x from both sides )
3x = 6 ( divide both sides by 3 )
x = 2
Answer:
T = 1500 + (55 * s)
Step-by-step explanation:
S is the changing factor, you just have to substitute for the number of yards.
Answer:
(3,1) --> One solution
Step-by-step explanation:
Start by multiplying the first equation by 4:
-7x(4)+2y(4)=-19(4)
-28x+8y=-76
In this scenario, we can eliminate 8y by subtracting the two equations:
-34x=-102
Divide both sides by -34
x=3
Plug 3 back in for x to solve for y
-7(3)+2y=-19
-21+2y=-19
Add 21 to both sides
2y=2
Divide both sides by 2
y=1
(x,y)=(3,1)
Answer:
y=3x-5
Step-by-step explanation:
parallel means that both lines share the same gradient.
from the equation y=3x-12 , we can deduce that the gradient is 3 because it is in the gradient-intercept form
now substitute values into formula
y-y1=m (x-x1)
y--2=3 (x-1)
expand brackets and simplify
y+2=3x-3
subtract 2 from both sides of equation
y=3x-5
Answer:
120.105m^2
Step-by-step explanation:
Given data
Diameter of circular bed= 24+3m = 27m
radius= 27/2= 13.5
m
Diameter of side walk = 12
radius= 24= 12
m
Hence the area of the sidewalk is
Area= area of circular bed- area of side walk
Area=πR^2-πr^2
Area=π(R^2-r^2)
Area=π(13.5^2-12^2)
Area= 3.14(182.25-144)
Area= 3.14(38.25)
Area=120.105m^2
Hence the area of the side walk is 120.105m^2
