All categories

3 years ago

which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

Answer:

-2x+3y=7

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

2. 2x-3y+9= -2

2x-3y= -11

Hope this helps

You might be interested in

After being dropped a certain ball always bounces back to 2/5 of the height of its previous bounce. After the first bounce it re

mylen [45]

After the second, it will be 50, after the third it will be 20, and after the fourth it will be 8. The answer is C
Hope this helps!

3 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

5 0

3 years ago

What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00?

astraxan [27]

27pi in.^2
just got the answer on edge,
edge is the stupidest waste of time I've ever used, gotta get them credits to graduate though.

7 0

3 years ago

Read 2 more answers

Solve the equation.<br><br> ∣x−2∣=∣4+x∣

3241004551 [841]

This equation cannot be solved as there is one “x” on each side, which would cancel each other out and leave us with:

-2 = 4

this statement is not true, so there is no solution.

hope this helps. ❤️

8 0

3 years ago

What’s the answer please?

Galina-37 [17]

Answer:

I can't see the picture good

Step-by-step explanation:

put a better photo next time

5 0

3 years ago