Answer:
If a line parallel to one side of a triangle intersects the other two sides of the triangle, then the line divides these two sides proportionally.
Step-by-step explanation:
3(x-4)>= 5x+2
Distributing 3 on x-4
3(x)-3(4)>=5x+2
3x-12>=5x+2
Now we need to move x terms together and the numbers together and for that we subtract 5x to both sides and add 12 to both sides
-2x >=14
Now we need to get rid of -2, and for that we divide both sides by -2 and on dividing by negative number, the sign of inequality change , that is
x<=-7
We can take the two points given and plug them into the slope formula.
(-3, 3), (1, -5)
x1 y1 x2 y2
Subtract:
Divide:
Answer:
no solutions
Step-by-step explanation:
y = -3x +10
3x +y = 5
Substitute the first equation into the second equation
Let every instance of y in the second equation be replaced with -3x+10
3x+ (-3x+10) = 5
Combine like terms
10 =5
This is never true so there are no solutions
(These are parallel lines with the same slope but different y intercepts)
The area which is not in used for the flower gardens is 10964 sq ft.
Step-by-step explanation:
Given,
Length (l) of the rectangular park = 160 ft
Width (b) of the rectangular park = 80 ft
Length (l) of each rectangular flower garden = 18 ft
Width (b) of each rectangular flower garden = 17 ft
To find the area which is not in used.
Formula
The area of rectangle = l×b
Now,
The area of the rectangular park = 160×80 sq ft = 12800 sq ft
The area of each rectangular flower garden = 18×17 sq ft = 306 sq ft
The area of 6 rectangular flower garden = 306×6 sq ft = 1836 sq ft
So,
The area which is not in used = 12800-1836 sq ft = 10964 sq ft.
