The rate of change of Pete's height from 3 to 5 years can be determined as,
Thus, the required rate of change from 3 to 5 years is 4 in/year.
A straight line passing through the point (-2,1) and having a gradient of -3 yields the equation y = -3x - 5.
We know that a straight line is an infinitely long line with no curves on it. A straight line's equation is
y = mx + c...(1), where m is the gradient of the straight line and c is a constant.
Given that the gradient of the given straight line = m = -3.
Putting this value in (1), we get
y = -3x + c ...(2)
Again, the given straight line passes through the point (-2,1). So, we can put x = -2 and y = 1 to get the value of the constant c.
So, 1 = (-3)(-2) + c
i.e. 6 + c = 1
i.e. c = 1 - 6 = -5
(2) can be written as
y = -3x - 5
Therefore the equation of the given straight line is
y = -3x - 5
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Answer:
$100
Step-by-step explanation:
8x= 160
160/8 = 20
x=20
5x = 100
Answer:
-45
Step-by-step explanation:
v=179-224
v=-45
v=-45
Answer:
Step-by-step explanation:
Use Pythagorean theorem
Base² + altitude² = hypotenuse²
Base² + 7² = 20²
Base² + 49 = 400
Base² = 400 - 49 = 351
Base = √351 = 18.73 = 18.7 mm
