how do I write an equation of a line that is parallel to 2x-3y=15

Answers

Answer 1
The line given is -2x + 3y = 15, so we must rearrange:

=> 3y = 2x + 15
=> y = 2/3 x + 5

These two equations are EQUIVALENT, but one is in slope intercept form, the other isn't.

So in this case, gradient is 2/3 (or 2 units up, and 3 units across).

And we know that parallel lines have the same gradient. Hence, the general equation for lines parallel to it will be:

y = 2/3 x + n

where n can be any number (positive/negative, decimal/fraction/integer) except 5, which is original line.

For example, y = 2/3 x + 2

Related Questions

18. Layla conducted a science experiment. She ended up with 19 millimeters of the solution, But she thought she would end up with 16 millimeters. What was her percent error? Round to the nearest tenth.
A.-23.1%
B-15.8%
C.-17.4%
D-84.2%
PLEASE HELP ME!!!

Answers

Answer:

I'm pretty sure it's B. 15.8%

Step-by-step explanation:

It's closest to 3 and there is a difference of 3 between 19 and 16

16. (-4, -3), (-2, 2)

Answers

Answer:

16. 5/2

Step-by-step explanation:

Rise/run

2- (-3)=5

-2- (-4)=2

rise/run= 5/2 (Five over two)

PLEASE HELP!!!
A golfer hits a ball with an initial velocity of 32.7 m/s from the ground. Find the following (round all answers to 2 decimal places...no units):

When does the ball hit the ground? ___

What is the highest height the ball goes? ___

When does the ball reach its max height? ___

How high is the ball after 4.3 seconds? ___

When is the ball 24 meters off the ground? ___ and ___ (enter the smaller value first)

Answers

Answer: 1. it doesnt since the velocity is so high, it will land in the water.

2. the ball goes about 500 feet in the air.

3. the ball reaches its max height when it starts to go down

4. the ball is at 250 since it takes 8.6 seconds for it to reach 500 feet

Step-by-step explanation:

a package of 9 batteries cost $4.72 what is the cost per battery

Answers

Answer: 1.90

Step-by-step explanation:

9/4.72= 1.90

Answer:

1.90

Step-by-step explanation:

9/4.72= 1.90

What is the perimeter of â–łJKL? 6 9. 5 11. 5 19.

Answers

The perimeter of the rectangle IJKL is 16units.

Since we are not given a diagram, we can assume the diagram is a rectangle IJKL with the following parameters:

Length = 3 units

Width = 5 units

The formula for finding the perimeter of a rectangle is expressed as:

P = 2(L + W)

Substitute the given values to have:

P = 2(3 + 5)

P = 2(8)

P = 16 units

Hence the perimeter of the rectangle IJKL is 16units.

Note that this formula is applicable to any rectangle given.

Learn about perimeter of shapes here: https://brainly.com/question/303508

A youth group earns $600 for charity and decides to put it in a bank. Calculate the amount of money the group will have for each scenario.

Part A chase bank pays simple interest at 5% and the group leaves the money for 5 years
part B witney bank pays an interest rate of 4% compounded annually and the group leaves the money for 6 years

Answers

Based on the types of compounding and the interest rates, the following are true:

Part A - The group will have $750Part B - The group will have $759.19

When using simple interest, the amount the group will have is:

= Amount x ( 1 + rate x number of years )

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

= Amount x ( 1 + rate) ^ Number of years

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

Find out more about compound interest at https://brainly.com/question/25263325.

how to solve 15=6+2(n-3) + 3n

Answers

Step-by-step explanation:

15 = 6 + 2(n-3) + 3n

or, 15 = 6 + 2n - 6 + 3n

or, 15 = 6 - 6 + 2n + 3n

or, 15 = 0 + 5n

or, 15 = 5n

or, 15/5 = n

or, 3 = n

;- n = 3.....

I Hope that this will Help you...!!!

How do I write two time the quotient of a number and two

Answers

You write it as 2x/2 ( 2x divided by 2)

Answer:

2(quotient of x) + 2..............

Can someone please help me with this question

Answers

A. Angle 3 is a vertical angle to angle 2 which means they are the same.

Angle 3 = 76 degrees

B. Angle 6 is also the same as angle 2.

Angle 6 = 76 degrees

C. Angle 8 + angle 6 form a straight line which equals 180 degrees

Angle 8 = 180 - 76 = 104 degrees

Answer:

76° , 76° , 104°

Step-by-step explanation:

(a)

∠ 2 and ∠  3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 6 and ∠ 3 are alternate angles and are congruent , then

∠ 6 = 76°

(c)

∠ 6 and ∠ 8 are adjacent angles on a straight line and sum to 180° , then

∠ 8 = 180° - 76° = 104°

is 8/24 greater or 8/20

Answers

Answer:

8/20

Step-by-step explanation:

the 8s may be the same, but because the denominator 20 is smaller than 24, 8 takes up more of it. another way to check is that 8/24 as a decimal is .33 repeating, but 8/20 as a decimal is 0.4.

0.4 is more than .33 repeating. reaffirming that 8/20 is bigger

Let w = 4. Enter >, <, or = to compare the expressions. 3w² + 1 10w + 8

Answers

Answer: ≥ without the line on the bottom.

Step-by-step explanation:

I am assuming the expression you are talking about are

[tex]3w^{2} +1[/tex] and [tex]10w+8[/tex].

If we were to replace w with 4 and calculate, we will find the answer:

[tex]3*4^{2} +1=3*16+1=48+1=49[/tex]

[tex]10*4+8=40+8=48[/tex]

Since the first expression, [tex]3w^{2} +1[/tex], is bigger than the second expression, the correct symbol to use is ≥ without the line on the bottom.

Pls help I'm falling behind

Answers

this would be 2.7•10^5

To join the tennis club, there is a $18.50 initial fee and a $1.10 yearly fee. What would be the value of the y-intercept in this situation?

Answers

Y = 18.50

Please tell me if it is right XD <3

i need help on all of this please

Answers

Answer:

Step-by-step explanation: the answer is 69-123

Write an equation in slope-intercept form of the line that passes through the points.

Answers

Answer:

y=-2x

Step-by-step explanation:

M= y2-y1/x2-x1

  = 6-0/-3-0

  = 6/-3

 = -2

when X is 0 Y is also so C is 0

Mr. Rossi works 20 days a month. How far does he drive in a month?

Answers

Answer:

No solution

Step-by-step explanation:

How should I kow how much he drove? I need at least one distance. Either your fooling me, or the person who gave you this question is. There is no solution.

Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those

Answers

Answer:

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Class 11

>>Physics

>>Units and Measurement

>>Errors in Measurement

>>You measure two quantities ...

Question

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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for

AB

as

Medium

Solution

verified

Verified by Toppr

Correct option is

D

1.4m±0.2m

Here, A=1.0m±0.2m, B=2.0m±0.2m

AB=(1.0m)(2.0m)=2.0m

2

AB

=

2.0m

=1.414m

Rounding off to two significant figures, we get

AB

=1.4m

AB

ΔAB

=

2

1

(

A

ΔA

+

B

ΔB

)=

2

1

(

1.0

0.2

+

2.0

0.2

)=

2

0.3

Δ

AB

=

2

0.3

×

AB

=

2

0.3

×1.414=0.212m

Rounding off to one significant figure, we get

Δ

AB

=0.2m

The correct value for

AB

is 1.4m±0.2m

5i/x-5i what is the simplest form?

Answers

51/x - 5i

this is the answerrrr

pls help I really need it too pass I am begging

Answers

Answer:

Lateral : 103.67 in²

Total : 864 in²

Step-by-step explanation: there you go

−3.6−1.9t+1.2+5.1t

Khan academy pls help

Answers

Answer:

3.2t - 2.4

Step-by-step explanation:

Shawna reduced the size of a rectangle to a height of 2 in. What is the new width if it was originally 24 in wide and 12 in tall?

Answers

Answer:

4 inches.

Step-by-step explanation:

The height of a rectangle is reduced by Shawna to a size of 2 inches.

The original width of the rectangle was 24 inches and the height was 12 inches.

If the ratio of width to height remains the same, then we can find the new width.

If the new width is x inches then, we can write

[tex]\frac{x}{2} = \frac{24}{12}[/tex]

⇒ x = 4 inches. (Answer)

Answer:

the new width is 14

Step-by-step explanation:

original height 12

12-2= 10 (the amount that was taken away to get the new height)

24- 10= 14 ( the new width)

Express the following numbers in usual form:
(i) 8.02×10^-5
(ii) 4.5×10^3
(iii) 7×10^-5
(iv) 1.0001×10^8
(v) 4.3×10^12
(vi) 3.61492×10^5

Answers

(i) Given number = 8.02×10^-5

⇛ 8.02/100000

⇛ (802/100)/100000

⇛ 802/10000000

⇛ 0.0000802

The usual form of 8.02×10^-5 is 0.0000802

(ii) Given number = 4.5×10³

⇛4.5×1000

⇛ (45/10)×1000

⇛ 45×100

⇛ 4500

The usual form of 4.5×10³ is 4500

(iii) Given number = 7×10^-5

⇛ 7/100000

⇛ 0.00007

The usual form of 7×10^-5 is 0.00007

(iv) Given number = 1.0001×10⁸

⇛ 1.0001×100000000

⇛ (10001/10000)×100000000

⇛ 10001×10000

⇛100010000

The usual form of 1.0001×10⁸ is 100010000

(v) Given number = 4.3×10¹²

⇛ 4.3×1000000000000

⇛ (43/10)×1000000000000

⇛ 43×100000000000

⇛ 4300000000000

The usual form of 4.3×10¹² is 4300000000000

(vi) Given number = 3.61492×10⁵

⇛ 3.61492×100000

⇛ (361492/100000)×100000

⇛ 361492

The usual form of 3.61492×10⁵ is 361492

2.48 rounded to the nearest hundredth pl

Answers

Answer:

2.50

Step-by-step explanation:

2.50 might be the answer

explain how 984/616=123/77

Answers

They are equal because you can multiply the numerator and denominator of 123/77 by 8
And you get
984/616

Hope this helps!
Brainliest is much appreciated!

Answer:

984/616 is equal to 123/77 because it is simplified, also meaning reduced by finding the GCF (greatest common factor), which in this case is 8. So therefore, when you divide the numerator of 984 by 8, you get 123, and when you divide the denominator of 616 by 8 as well, you will get 77.

what is the mean of the data set
14 19 18 12 22 15 16 14 14 21 20
A 15.75
B 16.00
C 16.75
D 19.50

Answers

I think it’s 16.75 between 16 and 18

make w the subject of the formula

Answers

Answer:

w= [tex]\frac{y+1}{2+a}[/tex]

Step-by-step explanation:

y-aw=2w-1

y+1=2w+aw

y+1=w(2+a)

[tex]\frac{y+1}{2+a}[/tex]=w

Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A

Answers

we have: ∠A + ∠B = 90°

<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°

<=> 5x + 20 = 90°

<=> 5x = 70°

<=> x = 14°

So: ∠A = 2x - 14 = 2.14 - 14 = 14°

Ok done. Thank to me :>

please help.
with the steps

Answers

Answer:

  -4/243

Step-by-step explanation:

Your calculator can do this.

You know that 3³ = 27 and (-3)³ = -27. You also know that 3² = 9, and that anything to the zero power is 1. With these facts, you can simplify the expression to ...

  [tex]\dfrac{\sqrt[3]{-27}-27^0}{3^3\times3^2}=\dfrac{-3-1}{27\times9}=\boxed{-\dfrac{4}{243}}[/tex]

A first number plus twice a second number is 5. Twice the first number plus the second totals 13. Find the numbers.

Answers

Let a and b = the numbers we must find.

a + 2b = 5.....Equation A

2a + b = 13.......Equation B

We have a system of equations in two variables.

I will solve A for little a.

a + 2b = 5

a = 5 - 2b

Now I will plug 5 - 2b for a in B.

2(5 - 2b) + b = 13

10 - 4b + b = 13

-3b = 3

b = -1

To find a, replace b with -1 in EITHER A or B.

I will use Equation A.

a + 2b = 5

a + 2(-1) = 5

a - 2 = 5

a = 7

The two numbers are -1 and 7.

Understand?

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If
Erica has at most $10 to spend on
the cab ride, how far could she travel?

Answers

Answer: 12.69 miles or less

Step-by-step explanation:

$10 - $1.75 = $8.25

$8.25/$0.65 = 12.69

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