Which equation shows how the properties of numbers extend to negative whole numbers by the Distributive Property?
1 answer:
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Answer:
The Slope Intercept form of the equation through the point (0, -4) and
(1, 0) is y = 4 x - 1
Step-by-step explanation:
Here, the given points are A (0,-4) and B(1,0)
Now, slope of the equation with points (a,b) and (c,d) is given as
So, here the slope of the line AB is given as:
⇒ m = 4
Now, by POINT SLOPE form:
The equation with slope m and point (x0 , y0) is represented as :
(y-y0) = m (x-x0)
⇒ The equation of AB is of the form with point (1,0) is
y - 0 = 4 (x -1)
or, y = 4 x - 1
Also, the SLOPE INTERCEPT form of an equation is of the form
y = m x + C ; m = slope and C = y -intercept
Hence, the slope intercept form of the equation through the point (0, -4) and (1, 0) is y = 4 x - 1
<h2>The top of the ladder is descending at 0.3 m/s.</h2>
Step-by-step explanation:
By Pythagoras theorem we know that
Hypotenuse² = Base² + Perpendicular²
h² = b² + p²
We have for ladder
h = 5 m
b = 3 m
5² = 3² + p²
p = 4 m
Differentiating h² = b² + p² with respect to time
The top of the ladder is descending at 0.3 m/s.