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qaws [65]
2 years ago
10

The vertices of a triangle are P(8, -5), Q(-5, -8), and R(-4, -3). What are the vertices of the

Mathematics
1 answer:
Kobotan [32]2 years ago
5 0

Answer:

A

Step-by-step explanation:

Hi

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It’s a black picture. We can’t help with that
5 0
3 years ago
Find the value of a1 for an infinite geometric series with S=12 and r=1/6
blondinia [14]
S_n=a(1+r+\cdots+r^{n-1}+r^n)
rS_n=a(r+r^2+\cdots+r^n+r^{n+1})
(1-r)S_n=a(1-r^{n+1})
S_n=a\dfrac{1-r^{n+1}}{1-r}

When |r|, we have

\displaystyle\lim_{n\to\infty}S_n=\dfrac a{1-r}

as is the case here. Since S=\lim\limits_{n\to\infty}S_n=12 and r=\dfrac16 are given, we can find the first term a immediately:

12=\dfrac a{1-\frac16}\implies12=\dfrac65a\implies a=10
6 0
3 years ago
Over summer, a dam’s water volume reduces from 20 megalitres to 4 megalitres. What fraction of the water in the dam has been los
musickatia [10]

Hey there! I’m happy to help!

Let’s first subtract 4 from 20 to see how much was lost.

20-4=16

Now, we see that 16 is a certain percent of twenty that we want to find. When talking about percents, the word “is” represents an equal sign. So, we can write this equation. We will have p represent our prevent.

16=20p (16 is a certain percent of 20)

Now, we solve by dividing both sides of the equation by 20 to isolate the p.

p=0.8

0.8 is 80% or 4/5, so 4/5 of the dam water has been lost.

Have a wonderful day! :D

7 0
3 years ago
Explain how you find instantaneous velocity and find it for s(t) = -3 + 4t^2 when t = 5 seconds.
White raven [17]
You take the derivative of the position equation  s(t) = -3 + 4t^{2}
and you get  v(t) = 8t
now plug in 5 
v(5) = 40
40 m/s is your answer

5 0
3 years ago
The distribution of the values of a population is shown below, and a simple Random sample is drawn from the population. Based on
posledela

Answer: C

Step-by-step explanation:

Yes, because the population values appear to be normally distributed

6 0
3 years ago
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