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densk [106]
3 years ago
7

. A(0,8), B(6,5), C(-3,2)

Mathematics
1 answer:
Keith_Richards [23]3 years ago
4 0

Answer:

a

Step-by-step explanation:

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What is the value of the fourth term in a geometric sequence for which a1 = 30 and r = 1/2?
Pani-rosa [81]

Answer:  The required fourth term of the geometric sequence is \dfrac{10}{9}.

Step-by-step explanation:  We are given to find the value of the fourth term in a geometric sequence with first term and common ratio as follows :

a(1)=30,~~~~~r=\dfrac{1}{2}.

We know that

the n-th term of a geometric sequence with first term a1 and common ratio r given by

a(n)=a(1)r^{n-1}.

Therefore, the fourth term of the given geometric sequence will be

a(4)=a(1)r^{4-1}=30\times r^3=30\times\left(\dfrac{1}{3}\right)^3=\dfrac{30}{27}=\dfrac{10}{9}.

Thus, the required fourth term of the geometric sequence is \dfrac{10}{9}.

7 0
3 years ago
Read 2 more answers
Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.
Vesna [10]

Answer:

x \approx 2.18

Step-by-step explanation:

3(x+4.5x)=36

we can use the distributive property and get

3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\

and we can add like terms

(3+13.5)x=36\\\\16.5x=36

and know we divide both sides by 16.5

16.5x*(\frac{1}{16.5})=36*(\frac{1}{16.5})\\\\x=\frac{36}{16.5}

and doing the dvision we get that

x\approx 2.18

3 0
3 years ago
By what percent will a fraction decrease if its numerator is increased by 20% and its denominator is increased by 50%?
Brums [2.3K]
Lets find out...

our fraction is 1/2.....
when the numerator is increased by 20%......1 + 0.20(1) = 1.2
when the denominator is increased by 50%....2 + 0.50(2) = 3

1/2 = 0.5....original fraction
1.2 / 3 = 0.4.....increased fraction

 decrease = (original number - new number) / original number...* 100
                 = (0.5 - 0.4) / 0.5...* 100
                 = (0.1 / 0.5)....* 100
                = 0.2 * 100
                = 20% decrease <====
3 0
3 years ago
Read 2 more answers
Please help??! Solve by elemination <br>4x + y = 6<br>12x + 3y = 18<br>Show your work
RUDIKE [14]
Multiply -3[4x+y=6].
This gets you -12x-3y=-18.
Add the two equations together to eliminate the y.
-12x - 3y = -18
+ 12x + 3y = 18
------------------------
0 = 0
This means that these are in fact the same line, therefore there are infinite solutions.
8 0
3 years ago
Which statement best describes how to verify the Pythagorean Theorem using this drawing?
liberstina [14]

Answer:

Either A or D

Step-by-step explanation:

Because if you put the area of the two smaller squares together it would equal that one big square.

I don't know if this is right just a tough guess but I hope this helps!

And Good Job for almost being completed!

:)

7 0
2 years ago
Read 2 more answers
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