Answer:
slope = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 5 + 4x, that is
y = 4x - 5 ← is in slope- intercept form
with slope m = 4
Answer:
30/pi cm
Step-by-step explanation:
2×pi×r =60
r = 60/2×pi =30/pi
Answer: 8.33 times
Explanation:
P(4) = 1/6
P(4) for 50 times = 1/6 x 50 = 8.33 times
<u><em>Answer:</em></u>
You should multiply the expression by 
<u><em>Explanation:</em></u>
To rationalize any expression, you must multiply it by its conjugate. A conjugate is defined as a similar expression to the original one but with an opposite sign
<u>This means that:</u>
The conjugate of a + b would be a - b
Now, the given expression is 
<u>Consider the denominator:</u>
From the above, we can conclude that the conjugate of
is 
<u>And, remember that</u> we need to keep the value of the expression unchanged. This means that we must multiply both the numerator and the denominator by the same value
<u>Therefore:</u>
You should multiply the expression by
in order to rationalize the denominator
Hope this helps :)
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.