Answer:
The x intercept is (12,0)
Step-by-step explanation:
1.5x+4.5y=18 Subtract 1.5 x from both sides of the equation
4.5y=-1.5x+18 Divide both sides of the equation by 4.5
4.5y/4.5=-1.5x/4.5+18/4.5
y=-1/3x+4
The slope is -1/3
The y intercept is (0,4)
To find the x intercept, yet y=0 and solve.
1.5x+4.5y=18
1.5x+4.5(0)=18
1.5x=18 Divide both sides of the equation by 1.5
1.5x/1.5=18/1.5
x=12
Answer:
the first one is 13 and the second is 22
Answer: D
Step-by-step explanation: slope = "rise over run" = 1.5/18 = 3/36 = 1/12 for the 1st section to the landing
slope is the change in height, the vertical change, divided by the change in horizontal distance
2nd section has slope 1/18 and covers 9 feet. That means it rises 1/2 foot
slope = 1/18 = (1/2)/9
the door is 2 feet higher than the ground level, 1.5 + .5 = 2 feet change vertically
Answer:
The length of the longer ladder is 35 ft
Step-by-step explanation:
Please check the attachment for a diagrammatic representation of the problem
We want to calculate the length of the longer ladder ;
We make reference to the diagram
Since the two right triangles formed are similar. the ratios of their sides are equal;
Thus;
20/15 = 28/x + 15
20(x + 15) = 15(28)
20x + 300 = 420
20x = 420-300
20x = 120
x = 120/20
x = 6
So we want to calculate the hypotenuse of a right triangle with other sides 28ft and 21 ft
To do this, we use the Pythagoras’ theorem which states that square of the hypotenuse equals the sum of the squares of the two other sides
Let the hypotenuse be marked x
x^2 = 28^2 + 21^2
x^2 = 1,225
x = √1225
x = 35 ft
Answer:2m^2+mn+2m+9n-3
Step-by-step explanation:
m(2+n-m)+3(3n+m^2-1)
open brackets
2m+mn-m^2+9n+3m^2-3
Collect like terms
3m^2-m^2+mn+2m+9n-3
2m^2+mn+2m+9n-3
