Answer: -4
Explanation: To find the rate of change, notice that the y values in the
table decrease by 4 each time and the x values increase by 1 each time.
Therefore, the rate of change, or the <em>change in y </em><em>/</em><em> change in x </em>is 4/-1 or -4.
Answer:
240 units squared
Step-by-step explanation: Pythagorean theorem and then multiply base times height / 2
For the answer to the question above,
The slope of the line of the line is calculated through the equation,
m = (y2 - y1) / (x2 - x1)
Using the first two points in the given,
m = (-7 - 9) / (-12 - 8) = 4/5
The line parallel to this has also a slope of 4/5. Through the point-slope form, the equation of the second line is,
y - -15 = (4/5)(x - -5)
Simplifying gives the answer of,
y = (4/5)x -11
Eliminating the fraction,
5y = 4x - 55
I hope my answer helped you.
Use Pythagorean Theorem of a^2 + b^2 = c^2 where a and b are the legs of the triangle set up by the house height and the ground, and c is the hypotenuse or how long the ladder is. C is going to be our unknown.
Just plugging in you get 25^2 + 35^2 = c^2. Simplify to 625 + 1225 = c^2. Simplify again to 1850 = c^2. The square root both sides to isolate the variable c. C = sqrt(1850) or approximately 43.0116 feet if rounded to 4 decimal places.
The ladder is approximately 43.0116 feet long.