Which equation has a slope of 1/2 and passes through the point (1.2)?
1 answer:
Answer:
The answer is
<h2>Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of a line given a point and slope we use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) is the point
From the question the point is ( 1 , 2) and the slope is 1/2
Substitute the values into the above formula and solve for the equation
That's
<h3>We have the final answer as
<h3>Hope this helps you
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Answer:
see explanation
Step-by-step explanation:
Expand both factors and collect like term
Using Pascal' triangle with n = 6 to obtain the coefficients
1 6 15 20 15 6 1
Decreasing powers of 1 from to
Increasing powers of 3x from to
= 1. + 6.
+ 15.
+ 20.
+ 15.1²
+ 6.
+ 1.
= 1 + 18x + 135x² + 540x³ + 1215 + 1458
+ 729
--------------------------------------------------------------------------------------
= 1. + 6.
+ 15.
+ 20.
+ 15.1²
+ 6.
+ 1.
= 1 - 18x + 135x² - 540x³ + 1215 - 1458
+ 729
----------------------------------------------------------------------------------
Collecting like terms from both expressions
+
= 2 + 270x² + 2430 + 1458
----------------------------------------------------
(2)
Using Pascal's triangle with n = 5
1 5 10 10 5 1
Decreasing powers of 1 from to
Increasing powers of 2x from to
= 1. + 5.
+ 10.
+ 10.
+ 5.
+ 1.
= 1 + 10x + 40x² + 80x³ + 80 + 32