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LiRa [457]
2 years ago
10

Find the equation of the straight line passing through P(-2,1) and parallel to the line with equation 2x-3y=1

Mathematics
1 answer:
slavikrds [6]2 years ago
8 0

2x-3y=-5

2x−3y+8=0

⇒−3y=−2x−8

⇒3y=2x+8

⇒y=  

3

2

​  

x+  

3

8

​ That's how I knew it

hopes  it helps you

And

your welcomeee

<<<::

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Vinny decorated 72 cookies and 36 minutes how many cookies did you decorate per minute
SCORPION-xisa [38]
2 cookies. 72/36= 2 cookies per minute. 
6 0
3 years ago
How long does it take a 2700 dollar investment compounded monthly at 9% to make 500 dollars
valina [46]

Answer:

23 months

Also please note that it's everytime ^t/12 not (^t)/12

Step-by-step explanation:

Principal (P) = $2700

rate = 9%

t = ?

Amount = P(1+\frac{r}{100} )^(t/12)

Amount = 2700 +500 = $3200

So substituting all our values we get :

3200 = 2700(1+\frac{9}{100})^(t/12)\\ 3200=2700(1+0.09)^(t/12)\\3200 = 2700(1.09)^(t/12)\\\frac{3200}{2700}  =1.09^(t/12)

So we use log to solve for t :

t/12=log_{1.09} (\frac{3200}{2700})\\

Solving this using a calculator we get:

1.9714966193*12

=23 months

7 0
3 years ago
Cynthia conducted an experiment with a spinner that contained only 4 sectors:f,g,h,and j. She spun the arrow 40 times and record
nadezda [96]
The probability is C) 3/8.

The spinner landed on H 15 times out of (12+9+15+4) = 40 times.  This is a probability of 15/40, which simplifies to 3/8.
3 0
3 years ago
What are the values of a 1 and r of the geometric series? 1 3 9 27 81.
sp2606 [1]

For the given geometric series the value of the common ratio(r) is 3, while the value of a₁  is 1.

<h3>What is geometric series?</h3>

A series of numbers whose any two consecutive numbers are always in a common ratio of that series.

Given to us

Series,  1 3 9 27 81

To find the value of the common ratio(r), we will simply find the ratio of any two consecutive numbers, therefore,

r = ratio = \dfrac{3}{1} = 3

As we can see the common ratio of the given series is 3, therefore, every next number will be thrice the number before.

We need to find the value of a₁ for the given  series, and as we know that a₁ is the first number of the series with which the series is starting, therefore,

a₁  = 1

Hence, for the given geometric series the value of the common ratio(r) is 3, while the value of a₁  is 1.

Learn More about Geometric Series:

brainly.com/question/14320920

3 0
2 years ago
Solve the system of equations given below
Fantom [35]

y-15=3x \\-2x+5y=-3 \\ \\-2x+y-15=0 /\cdot2 \\-2x+5y-3=0 /\cdot(-2) \\ \\-4x+2y-30=0 \\4x-10y+6=0 \\ \\-8y-24=0 \\\boxed{y=-3} \\ \\-3-15=3x \\\boxed{x=-6}

The answer is C. (-6, -3)

Hope this helps.

r3t40

8 0
3 years ago
Read 2 more answers
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