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erica [24]
2 years ago
5

Solve for the distance between the points (25, -41) and (31, -32).

Mathematics
1 answer:
Ann [662]2 years ago
7 0

Answer:

The distance should be 3\sqrt{13

Step-by-step explanation:

Distance formula

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Phil ran 4 3/8 miles yesterday. Michael ran 1 5/8 miles yesterday. How much farther did phil run than Michael
djyliett [7]
Phil ran 2 7/8 miles more than micheal
8 0
2 years ago
Find the sum of the first 18 terms of the arithmetic sequence whose nth term is an = 3n - 1.
vodka [1.7K]

Answer:

495

Step-by-step explanation:

In order to find the sum of the first 18 terms you have to find the 18th term and the first term using the equation given.

a1=3(1)-1        a1=2

a18=3(18)-1   a18= 53

Then plug in 53 for an, 18 for n, and 2 in for a1 in the sum equation: Sn=n/2(a1+an)  

Sn=18/2(2+53)  Solve for sn= 495

7 0
3 years ago
The sequence an = 8, 13, 18, 23, ... is the same as the sequence a1 = 8, an = an-1 + 5.
harkovskaia [24]
Actually, this answer would be true. Why?

 The first equation is: a(sub <em>n</em>) = 8, 13, 18, 23

The second is: a(sub 1)=8 ; a(sub <em>n</em>)= a(sub <em>n</em>-1)+5
if you wish to find the second term, plug two into the equation for <em /><em>n</em> 
8+5=13
to find the third, plug the second term, 13, in for <em>n.</em> 
13+5=18.

Hope this helped! I know it's a bit on the late side, but at least you can get the general idea!
8 0
3 years ago
Read 2 more answers
An object is acted upon by the forces F1=&lt;10​,6​,4&gt; and F2=&lt;0​,3​,9&gt;. Find the force F3 that must act on the object
murzikaleks [220]

\vec F_3=\langle x,y,z\rangle is a force vector such that

\vec F_1+\vec F_2+\vec F_3=\vec0

\implies\langle10,6,4\rangle+\langle0,3,9\rangle+\langle x,y,z\rangle=\langle0,0,0\rangle

\implies\begin{cases}10+x=0\\9+y=0\\13+z=0\end{cases}\implies x=-10,y=-9,z=-13

So the missing force is

\boxed{\vec F_3=\langle-10,-9,-13\rangle}

8 0
2 years ago
Here are descriptions for how two dot patterns are growing,
Arisa [49]

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

<h3>How to draw the diagrams</h3>

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

T_n =2n^2 + 1

When n = 0 to 3, we have:

T_0 =2(0)^2 + 1 =1

Step 0 = 1 dot

T_1 =2(1)^2 + 1 =3

Step 1 = 3 dots

T_2 =2(2)^2 + 1 =9

Step 2 =  9 dots

T_3 =2(3)^2 + 1 =19

Step 3 =  19 dots

Next, we draw the diagrams of both patterns (see attachment)

Read more about patterns at:

brainly.com/question/15590116

6 0
1 year ago
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