What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Answers

Answer 1
Answer: 2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)
Answer 2
Answer: paralell lines have the same slope

in the form
ax+by=c
a and b influence the slope
since it is the same slope
a and b remain the same

2x+3y=c
find c
(-2,3)
x=-2
y=3
input those points to find c
2(-2)+3(3)=c
-4+9=c
5=c

the equesiton is

2x+3y=5

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Round the decimal number to the nearest hundredth 5.6192

Answers

the 1 is the digit in te hundredths place, so you need to look at the digit directly to the right of that, the 9.  When rounding, if the digit to the right pf the place you're rounding is 0-4, the number you're rounding stays the same, and all digits to the right become zeros. If that digit is 5-9, the digit you're rounding goes up to the next number, and all digits to the right become zeros.  So, because the digit to the right of the hundredths place is a 9, that tells you that the 1 has to go up to the next number in counting order, so the number 5.6192 becomes 5.62 when rounded to the hundredths place.

3r = 10 + 5s, when r = 10

Answers

3r = 10 + 5s, where r = 10
Substitute 10 for r.
3(10) = 10 + 5s
30 = 10 + 5s
Subtract 10 from each side.
20 = 5s
Divide by 5.
4 = s
3(10)=10+5s
30=10+5s
20=5s
4=s

Which complex number will be plotted below the real axis and to the right of the imaginary axis?

Answers

Since below and to the right is in the FOURTH QUADRANT
So,
(4 - i) is in the FOURTH QUADRANT. 

How do i make a area model of 4.6 and 3

Answers

Answer:

Area model is one of a simple step to understand the given situation. So to make it simple, we need to decompose the number.

given number = 4.6 and 3

First we need to get the whole number and start multiplying:

Whole number of 4.6 => 4

whole number of 3 => 3

Now, let’s start multiplying the whole number

=> 4 x 3

=> 12

Then let’s multiply the remaining decimal:

=>.6 x 3

=> 1.8

Then add

=> 12 + 1.8

= 13.8

we know that

The area model for multiplication is a pictorial way of representing

multiplication. In the area model, the length and width of a rectangle

represent factors, and the area of the rectangle represents their product

So

in this problem

the factors are

l e n g t h  4.6  w i d e  3

decompose the number  

4.6

4.6 = ( 4 + 0.6 )  A r e a  o f  r e c t an g l e  = A r e a  r e ct a n g l e  1 +  A r e a  re c t a n g l e 2 = ( 4 + 0.6 ) ∗ 3 = 4∗ 3 + 0.6 ∗ 3 = 12 + 1.8 = 13.8

see the attached figure to better understand the problem

therefore

the answer is

the product of  

4.6

and  

3

is equal to  

13.8

Step-by-step explanation:

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Answers

...................,

If u add 32 cups and 128 ounces how many pints would you have

Answers

Answer:

32 kups +128 owns

part 1...1 gallon=128 owns=8 pints

part 2...1 pint=2 kups, so 32 kups=16 pints

16+8=24 pints

Step-by-step explanation:

Answer:

24 pints

Step-by-step explanation:

Well, 1 cup is equivalent to 8 ounces.

32 Cups is equivalent to 256 ounces.

And, 1 pint equals 16 ounces.

So, we must add the the 256 ounces and the 128 ounces:

256 + 128 = 384

Then, we must convert that to pints:

384 ÷ 16 = 24

Hope this helps you out! : )