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3 years ago

12

Write an equation in point slope form using the following information

1 answer:

koban [17]3 years ago

8 0

Because it parallel to y=2x-5 the slope m = 2.
Use the general form
Y-y1=m(x-x1)

Y-(-3)) =2(x-5)
Y+3 =2x-10)
Y = 2x -13
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Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

<u>1. Subsittute n = 6 into the equation:</u>

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

<u />

<u>2. Substitute n = 5 into the equation:</u>

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u> $a_1$ <u />

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

3 years ago

HELP ME PLZZ, ASAP!!<br><br> In your own words explain what a Right Angle is.

anastassius [24]

A right angle is an angle at 90 degrees

5 0

3 years ago

A sequence is defined recursively by the following rules: f(1)=3f(n+1)=2⋅f(n)−1 Which of the following statements is true about

Radda [10]

Answer:

f(2)=5

f(5)=33

Step-by-step explanation:

The given formula, that recursively defines the sequence is

$f(1) = 3 \\ f(n + 1) = 2f(n) - 1$

When n=1, we obtain;

$f(1+ 1) = 2f(1) - 1 \\ f(2) = 2 \times 3 - 1 \\ f(2) = 6 - 1 \\ f(2) = 5$

When n=2, we get:

$f(2+ 1) = 2f(2) - 1 \\ f(3) = 2 \times 5 - 1 \\ f(3) = 10 - 1 \\ f(3) = 9$

When n=3,

$f(3 + 1) = 2f(3) - 1 \\ f(4) = 2f(3) - 1 \\ f(4) = 2 \times 9 - 1 \\ f(4) = 18 - 1 \\ f(4) = 17$

When n=4

$f(4 + 1) = 2 f(4) - 1 \\ f(5) = 2 \times 17 - 1 \\ f(5) = 34 - 1 \\ f(5) = 33$

When n=5,

$f(6) = 65$

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3 years ago

A childs wading pool is 5 feet with a height of 1 foot. How much water is needed to fill the pool?

Nikolay [14]

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olga2289 [7]

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3 years ago

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