Mathematics College

What is the equation of a line parallel to 2x−3y=5 that passes through the point (−9,2)?


3x−2y=−31

3x+2y=−23

2x−3y=−24

2x+3y=−12

Answers

Answer 1

Parallel lines have the same slope

The equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

From the question, we have:

[tex]\mathbf{2x - 3y = 5}[/tex]

Make y the subject

[tex]\mathbf{- 3y = 5 - 2x}[/tex]

Divide through by -3

[tex]\mathbf{y = \frac 23 x - 5}[/tex]

Because the required equation is parallel to [tex]\mathbf{2x - 3y = 5}[/tex], then they must have the same slope

A linear equation is represented as:

[tex]\mathbf{y=mx + c}[/tex]

Where:

m represents the slope

So, by comparison:

[tex]\mathbf{m = \frac 23}[/tex]

This means that:

The required equation has a slope of 2/3

The equation of the line is:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

Where:

[tex]\mathbf{m = \frac 23}[/tex]

[tex]\mathbf{(x_1,y_1) = (-9,2)}[/tex]

So, we have:

[tex]\mathbf{y = \frac 23(x + 9) + 2}[/tex]

Open brackets

[tex]\mathbf{y = \frac 23x + 6 + 2}[/tex]

[tex]\mathbf{y = \frac 23x + 8}[/tex]

Hence, the equation of the line is: [tex]\mathbf{y = \frac 23x + 8}[/tex]

Read more about equations of parallel lines at:

https://brainly.com/question/402319

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What volume of fluid does a patient receive in 12 hours with a fluid rate of 24 mL/hr?

Answers

Answer:

Step-by-step explanation:

Just multiply 12 x 24

A coin weighs 4/15 ounces. A different coin weighs 1/15 ounces. How much do the two coins weigh together? Write your answer as a fraction in simplest form.

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Answer:

1/3

Step-by-step explanation:

4/15 + 1/15 = 5/15

simplified its 1/3

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Answer:

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Step-by-step explanation:

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tonight's attendance was 100 more than double the attendance last night. If 500 attended tonight, how many attended last night?

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Answer: 200

Step-by-step explanation: 200 doubled would be 400 and it says that tonights attendence was 100 more than the doubled which would add up and equal 500 (400+100=500) so 200 is your answer.

What is 7 ⅖ decreased by 4 4/5 ?​

Answers

Answer:

2 3/5

Step-by-step explanation:

7 2/5 decreased by 4 4/5, Is the same as 7 2/5 - 4 4/5, which equals to 2 3/5.

Write the equation in slope-intercept form.
6x – 3y = -18

Answers

Answer:

y = 2X + 6

Step-by-step explanation:

6x +18 = 3y

y = 6/3x + 18/3

what is this answer 6×7/8

Answers

Answer:

6

56

this is answer

Step-by-step explanation:

Here we will show you how to calculate 6/7 divided by 8. We will give you the answer in fraction form and in decimal form.

Here is 6/7 divided by 8 displayed mathematically in colors:

6

7

÷

8

The numbers in 6/7 divided by 8 are labeled below:

6 = numerator

7 = denominator

8 = whole number

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

6

7 x 8

=

6

56

Thus, the answer to 6/7 divided by 8 in fraction form is:

6

56

which of the following has the same value as 1/1000 20 points if right

A.
0.01

B.
0.001

C.
0.010

D.
0.100
asap

Answers

Answer:

It is B. 0.001.

1/1000 is 0.001

A principal of $2400 is invested at 7.25% Interest, compounded annually. How much will the investment be worth after 13 years?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

Step-by-step explanation:

70000

4x + 16 ≤ 74 solve the inequality and show your work

Answers

Answer:

x ≤14.5

Step-by-step explanation:

4x+16≤74

Subtract 16 from the 74 and that gives you 58

Then divide each side by 4. 58/4=14.5

Hope this helps! sry if I get it wrong! :(

Answer: x ≤ 29/2

Explanation:

Subtract 16 from both sides

4x + 16 - 16 ≤ 74 -16

Simplify

4x ≤ 58

Divide both sides by 4

4x/4 ≤ 58/4

Simplify

x ≤ 29/2

A square has a side length of 4 centimeters. What is the length of the diagonal of the square?

Answers

Answer:

diagonal = 5.7cm

Step-by-step explanation:

we can do Pythagoras as simple as this

a^2  + b^2 = c^2

4^2  + 4^2 = c^2

c^2 = sq rt 32 = 5.65685425

diagonal  = 5.7cm

57²⁰¹⁸ and 51²⁰²⁰, which one is larger? (57^2018 vs 51^2020)

Answers

Answer:

steps below

Step-by-step explanation:

Set    log x = a     and     log y = b

x = 10ᵃ     and       y = 10ᵇ

if a>b      10ᵃ > 10ᵇ

so  x > y

x = 57²⁰¹⁸              y = 51²⁰²⁰

log x = log 57²⁰¹⁸ = 2018 * log 57 = 3543.36 :  (a)

log y = log 51²⁰²⁰ = 2020 * log 51 = 3449.29 : (b)

3543.36 > 3449.29       log x > log y    

x > y:        57²⁰¹⁸ > 51²⁰²⁰

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C because pseudoscience is fake science. The term pseudo means fake.

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Answers

Ration numbers are numbers that are integers (whole numbers) but irrational numbers can’t be written in fraction form (like pi).

what is the probability of rolling a product less than 5 on a pair of 6-sided dice

Answers

Answer:

2/3 probability

Step-by-step explanation:

less than 5 is 4. There are 6 sides, so its 4/6. 4 out of 6 simplifies to 2/3.

Answer:

as there are 2 six-sided dices so total cases = 6*6 = 36

products less than 5 are = (1,1) , (1, 2), (1, 3), (2,1), (2,2), (3,1)

so number of products less than 5 = 6

so the probability = 6/36 = 1/6

Step-by-step explanation:

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NO spam!
Step by step explanation needed!​

Answers

Step-by-step explanation:

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Answers

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Answer:

The place value is the tenths.

Step-by-step explanation:

2.45: Tenths

2.045: Hundreths

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Step-by-step explanation:

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Answers

15. If a+b=6 and ab=9 that means a and b must each equal 3. Then plug it into the equation and solve. (3)3+(3)2 = 15


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Answers

You have to solve for b by taking the square root of each side of the equation.
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Answers

Answer:

803,800,000

Step-by-step explanation:

8.038 x 10^8

8.038 x 100,000,000

803,800,000

Hope you understand the answer. Have a great day!

Please help

This type of financing allows customers to pay for items in advance.
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B. secured loans
C. layaway
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Answers

Answer is C. Layaway

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X/4=-5/20
Algebra
Solve for x

Answers

Answer:

Algebra =

X/4 = -5/20

Simplify :

X/4 = -1/4

Of course, Will same x/4 = -1/4

Answer : X = -1

x = -1

Step-by-step explanation:

[tex]\begin{aligned}\tt\frac{x}{4}&=\tt\frac{-5}{20}\\\tt 20x&=\tt -5\times 4\\\tt 20x&=\tt -20\\\tt x&=\tt -1\end{aligned}[/tex]

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Answers

Answer:

40g

Step-by-step explanation:

The answer is 40 gallons

explain ratio tables

Answers

Answer:

A ratio table is a structured list of equivalent (equal value) ratios that helps us understand the relationship between the ratios and the numbers. Rates, like your heartbeat, are a special kind of ratio, where the two compared numbers have different units

Step-by-step explanation:

the ratio of red cars to blue cars in a parking lot was 5:3 if there were 40 red cars , how many blue cars were there.

Answers

Answer:

24

Step-by-step explanation:

Given, 5:3 = 5 to 3

1. 40/5 (40 divided by 5) 8

(You would divide to know what to do next.

You would also divide by the 5 because the ratio of the cars are red to blue, and the question asks if there were 40 red cars, how many blue cars were there.)

2. Because 5 red cars grouped into 8 were 40, multiply 3 by 8.

3. 3 x 8 = 24.

Answer: 24.

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Answers

m < 105° and m < (10x + 15)° have the same measure because they are alternate interior angles that do not have a common vertex on alternate sides of the transversal. Since they have the same measure, we can solve for x:

m < 105° = m < 10x° + 15 °

Subtract 15 from both sides:

m < 105° - 15° = 10x°

90° = 10x°

Divide both sides by 10 to solve for x:

90°/10 = 10x/10

9° = x

Therefore, the value of x = 9°

Substitute this value into m < (10x + 15)° to find its true measure:

10(9) + 15 = 90 + 15 = 105°

This proves my statements earlier that m < 105° has the same measure as m < (10x + 15)°

The correct answer is x = 9°


Please mark my answers as the Brainliest if you find my explanations helpful :)

Select all the statements that are true for the graph shown submarine's descent

Answers

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Answers

Answer:

B

Step-by-step explanation:

3/7 I think it's that And I count it

Simplify: qp - 8m - m + 1 - m; use m = -3, p = 9, and q = 5

Answers

Answer:

The answer is 76

Step-by-step explanation:

qp - 8m - m + 1 - m; m = -3, p = 9, and q = 5

(5)(9) - 8(-3) - (-3) + 1 - (-3)

45 + 24 + 3 + 1 + 3 = 76

Thus, The answer is 76

-TheUnknownScientist 72

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