There is no answer to this question, as you have not provided us with an equal sign.
If I assume that the equation truly is “h/3+ (-4) + -1 = 0” the answer would be h=15.
Comment down below if there are any specifications on t other parts of the equation.
Do you mean "write in slope-intercept form"?
In that case: The slope is -3/1 = -3. The y-intercept is where it crosses the y-axis, at -3. The form is y=mx+b, where m is the slope and b is the intercept, so it's y=-3x-3.
Area of the triangle: 1/2(4) *6= 12
150- 12= 138
138/6= 23
x=23
Let the width path be x.
Length of the outer rectangle = 26 + 2x.
Width of the outer rectangle = 8 +2x.
Combined Area = (2x + 26)*(2x + 8) = 1008
2x*(2x + 8) + 26*(2x + 8 ) = 1008
4x² + 16x + 52x + 208 = 1008
4x² + 68x + 208 - 1008 = 0
4x² + 68x - 800 = 0. Divide through by 4.
x² + 17x - 200 = 0 . This is a quadratic equation.
Multiply first and last coefficients: 1*-200 = -200
We look for two numbers that multiply to give -200, and add to give +17
Those two numbers are 25 and -8.
Check: 25*-8 = -200 25 + -8 = 17
We replace the middle term of +17x in the quadratic expression with 25x -8x
x² +17x - 200 = 0
x² + 25x - 8x - 200 = 0
x(x + 25) - 8(x + 25) = 0
(x+25)(x -8) = 0
x + 25 = 0 or x - 8 = 0
x = 0 -25 x = 0 + 8
x = -25 x = 8
The width of the path can not be negative.
The only valid solution is x = 8.
The width of the path is 8 meters.
The lion runs 50 miles per hour which is 20 more than a house cat. 20 mph + house cat mph = 50 → house cat mph = 30mph
