A right pyramid with a square base has a base length of x inches, and the height is two inches longer than the length of the bas
2 answers:
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The sequence is geometric, so
for some constant r. From this rule, it follows that
and we can determine the first term to be
Now, by substitution we have
and so on down to (D)
(notice how the exponent on r and the subscript on a add up to n)
Answer:
a) 2
b) -
c) y = 2x + 1
Step-by-step explanation:
a)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
Parallel lines have the same slope so.... a parallel slope is 2
b)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4
To find a perpendicular slope flip the slope and change the sign : -
c)
First put the equation into slope intersept form (y=mx+b) by...
- Move the variable to the right-hand side and change its sign : -y = -4 -2x
- Change the signs on both sides of the equation: y = 4 + 2x
- Use the commutative property to reorder the terms : y = 2x + 4
Slope intersept form : y = 2x + 4, parellel slope : 2
- Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
- Calculate the product: 3 = 2 + b
- Move the variable to the left-hand side and change its sign: -x = 2 - 3
- Calculate the difference and change the signs : b = 1
Use the slope and y-intersept (b) to write the new line : y = 2x + 4