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NeX [460]
3 years ago
13

Determine whether the following sequence is geometric. If so, find the common ratio.

Mathematics
1 answer:
Shtirlitz [24]3 years ago
8 0

Answer:

a) r = 5

b) false

Step-by-step explanation:

study about GP

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Find the Y-coordinate of point P that lies 1/3 along segment RS, where R (-7, -2) and S (2, 4).
QveST [7]

Solution:

Given that the point P lies 1/3 along the segment RS as shown below:

To find the y coordinate of the point P, since the point P lies on 1/3 along the segment RS, we have

\begin{gathered} RP:PS \\ \Rightarrow\frac{1}{3}:\frac{2}{3} \\ thus,\text{ we have} \\ 1:2 \end{gathered}

Using the section formula expressed as

[\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n}]

In this case,

\begin{gathered} m=1 \\ n=2 \end{gathered}

where

\begin{gathered} x_1=-7 \\ y_1=-2 \\ x_2=2 \\ y_2=4 \end{gathered}

Thus, by substitution, we have

\begin{gathered} [\frac{1(2)+2(-7)}{1+2},\frac{1(4)+2(-2)}{1+2}] \\ \Rightarrow[\frac{2-14}{3},\frac{4-4}{3}] \\ =[-4,\text{ 0\rbrack} \end{gathered}

Hence, the y-coordinate of the point P is

0

8 0
1 year ago
A rectangle is 40 yards long and 30 yards wide. What is the length of the diagonal that cuts through the center?
choli [55]

Answer:

it should be 50

Step-by-step explanation:

Using the pythagorean theorem c = \sqrt{a^{2} +b^{2} } we get 50

4 0
3 years ago
When Cullen cleaned behind his dresser, he found 73 cents, all in nickels and pennies. There were 25 coins. How many were nickel
Georgia [21]
Let n = number of nickels, and p = number of pennies.
The number of coins is 25, so we get this equation.
n + p = 25

The value of the coins is 0.05 per nickel, and 0.01 per penny.
0.05n + 0.01p = 0.73

Now you have a system of equations.

n + p = 25
0.05n + 0.01p = 0.73

Solve the first equation for n:
n = 25 - p

Now substitute into the second equation.

0.05(25 - p) + 0.01p = 0.73

1.25 - 0.05p + 0.01p = 0.73

-0.04p = -0.52

p = 13

There were 13 pennies.
Now we substitute 13 for p in n + p = 25 to find out the number of nickels.

n + 13 = 25
n = 12

There are 13 pennies and 12 nickels.

Check: 13 pennies and 12 nickels does total 25 coins.
13 * 0.01 + 12 * 0.05 = 0.13 + 0.60 = 0.73
The value is $0.73.
Our answer is correct.
5 0
3 years ago
Need answer please!!!!!!
patriot [66]
Answer is D i’m sure but unit test don’t matter as much so don’t stress
7 0
3 years ago
Which of these equations represent functions? Check all that apply. A. 3x2 - y2 = 1 B. y = 6x C. y = x2 - 2 D. y2 = x2
lara [203]
I'm pretty sure the answer is
<span>B. y = 6x
C. y = x2 - 2</span>
4 0
3 years ago
Read 2 more answers
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