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4 years ago

Write an equation for the line that is parallel to the given line and passes through the given point.

Mathematics

1 answer:

timama [110]4 years ago

4 0

D:Y=-1/2+2, is right

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Which of the following list all x - intercepts of the graph of the equation y = x^3 - 4x ?

san4es73 [151]

Step-by-step explanation:

x³ - 4x = 0

x (x² - 4) = 0

x (x + 2) (x - 2) = 0

Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)

6 0

4 years ago

Find S9, the sum of the geometric series to the 9th term, in which a3=3.645 and a8=15

ArbitrLikvidat [17]

Answer:

The sum of the first nine terms of the sequence is 74.44.

Step-by-step explanation:

Geometric sequence concepts:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

Or even:

$a_{n} = a_{m}r^{n-m}$

The sum of the first n terms of a geometric sequence is given by:

$S_{n} = \frac{a_{1}(1 - r^{n})}{1 - r}$

Finding the common ratio:

$a_{3} = 3.645, a_{8} = 15$

$a_{n} = a_{m}r^{n-m}$

$a_{8} = a_{3}r^{8-3}$

$a_{3}r^{5} = a_{8}$

$3.645r^{5} = 15$

$r^{5} = \frac{15}{3.645}$

$r = \sqrt[5]{\frac{15}{3.645}}$

$r = 1.327$

Finding the first term:

$a_{3} = a_{1}r^{2}$

$a_{1} = \frac{a_{3}}{r^{2}}$

$a_{1} = \frac{3.645}{(1.327)^{2}}$

$a_{1} = 2.07$

Sum of the first nine terms:

$S_{9} = \frac{2.07*(1 - (1.327)^{9})}{1 - 1.327} = 74.44$

The sum of the first nine terms of the sequence is 74.44.

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3 years ago

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A plane is an undefined term because it

Evgesh-ka [11]

Neither A, B or D explains why plane is undefined. All 3 of those answers describe something about plane which is true. Plane indeed can be named using three non collinear points. However, B is telling why plane is undenified. I it described generally, not using a formal definition.

Answer is B

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4 years ago

Y=-1/4x +9 what is the slope and y - intercept

zvonat [6]

Well your slope is -1/4 and your y-intercept is 9

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3 years ago

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Sasha buys a rowboat priced at $486.40. Shipping and handling are an additional 16% of

Maru [420]

486.40*16%= around 77.82 dollars

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2 years ago

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