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3 years ago

10

Given AABC with vertices A(-3,3), B(2,4), and C(3,-1), what is the area of ABC?

1 answer:

zzz [600]3 years ago

8 0

The area of the triangle is 13

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Consider the sequence defined recursively by do = 0, an = an-1 + 3n – 1. a) Write out the first 5 terms of this sequence,

creativ13 [48]

Answer:

The first 5 terms of the sequence is 2,7,15,26,40.

Step-by-step explanation:

Given : Consider the sequence defined recursively by $a_0=0$ $a_n=a_{n-1}+3n-1$

To find : Write out the first 5 terms of this sequence ?

Solution :

$a_n=a_{n-1}+3n-1$ and $a_0=0$

The first five terms in the sequence is at n=1,2,3,4,5

For n=1,

$a_1=a_{1-1}+3(1)-1$

$a_1=a_{0}+3-1$

$a_1=0+2$

$a_1=2$

For n=2,

$a_2=a_{2-1}+3(2)-1$

$a_2=a_{1}+6-1$

$a_2=2+5$

$a_2=7$

For n=3,

$a_3=a_{3-1}+3(3)-1$

$a_3=a_{2}+9-1$

$a_3=7+8$

$a_3=15$

For n=4,

$a_4=a_{4-1}+3(4)-1$

$a_4=a_{3}+12-1$

$a_4=15+11$

$a_4=26$

For n=5,

$a_5=a_{5-1}+3(5)-1$

$a_5=a_{4}+15-1$

$a_5=26+14$

$a_5=40$

The first 5 terms of the sequence is 2,7,15,26,40.

5 0

3 years ago

Which function is the inverse of f(x) = (x − 3)^3 + 2?

morpeh [17]

Answer:

A

Step-by-step explanation:

refer to the pic above

7 0

3 years ago

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Transform the equation to isolate x: ax = bx 1. How is the value of x related to the difference of a and b?

cestrela7 [59]

Answer:

The value of x is reciprocal of the difference of a and b.

Step-by-step explanation:

We are given the equation, $ax=bx+1$

On simplifying, we get,

$ax=bx+1$

i.e. $ax-bx=1$

i.e. $(a-b)x=1$

i.e. $x=\frac{1}{a-b}$

So, we get,

The value of x is $\frac{1}{a-b}$ .

That is, the value of x is reciprocal of the difference of a and b.

5 0

3 years ago

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HELP ME SOLVE THIS PROBLEM PLEASE! :)

lukranit [14]

The answer would be the first option :
4/3r (3x)^3.

Hope this helps !

Photon

3 0

3 years ago

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A satellite flies 140802140802 miles in 22.7122.71 hours. How long would it take to fly 115878}115878 miles?

svet-max [94.6K]

Answer:

Doesn't make sense. Please re-punctuate your question.

Step-by-step explanation:

7 0

3 years ago