1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
erica [24]
3 years ago
8

Find the value of B - A if the graph of Ax + By = 3 passes through the point (-7, 2), and is parallel to the graph x + 3y = -5.

Pls help ASAP btw, the answer isn’t -12/19 or 12/19
Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0

Answer:

B - A = -6

Step-by-step explanation:

Given

Point: (-7,2)

x + 3y = -5

Required

Find B- - A in Ax + By = 3

To start with; we need to calculate the slope of x + 3y = -5

x + 3y = -5

Subtract x from both sides

x - x + 3y = -5 - x

3y = -5 - x

Divide both sides by 3

\frac{3y}{3} = -\frac{5}{3} - \frac{x}{3}

y = -\frac{5}{3} - \frac{x}{3}

The slope of the line is the coefficient of x

Slope = - \frac{1}{3}

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of - \frac{1}{3}

Having calculated the slope, next is to calculate the equation of the line using the following formula;

m = \frac{y - y_1}{x - x_1}

Where m is the slope; m = - \frac{1}{3}; (x_1, y_1) = (-7,2)

Substitute these values in the formula above; the formula becomes

-\frac{1}{3} = \frac{y - 2}{x - -7}

-\frac{1}{3} = \frac{y - 2}{x +7}

Cross Multiply

-1(x+7) = 3(y-2)

Open brackets

-x - 7 = 3y - 6

Add x to both sides

x - x - 7 = 3y - 6 + x

-7 = 3y - 6 +x

Add 6 to both sides

-7 + 6 = 3y -6 + 6 + x

-1 = 3y + x

Multipby both sides by -3

-3(-1) = -3(3y + x)

3 = -9y - 3x

-9y - 3x = 3

-3x - 9y = 3

Comparing the above to Ax + By = 3

Ax = -3x\\A = -3

By = -9y\\B = -9

B - A = -9 - (-3)

B - A = -9 + 3

B - A = -6

You might be interested in
1 2/5 fraction that have the same value ​
VladimirAG [237]

Answer:

7/5

Step-by-step explanation:

1 2/5, a mixed number, is equivalent to 7/5.

6 0
3 years ago
- 2 + 0.8) ÷ (- 1.3) =<br><img src="https://tex.z-dn.net/?f=%20%28%20-%202%20%2B%200.8%29%20%5Cdiv%20%28%201%7D%5E%7B2%7D%20%20-
Nookie1986 [14]
(-2 + 0.8) ÷ (1²-1.3) =

(-1.2) ÷ (1-1.3)

(-1.2) ÷ (-0.3)

= 4
6 0
3 years ago
Pls help me with this no links please and Thank you
den301095 [7]
The top graph is correct because an x=# will create a vertical line at that #
4 0
3 years ago
Read 2 more answers
Score: 0 of 1 pt
nydimaria [60]

Answer:

so halve the deck is black and halve the deck is red so you have 26 black cards then divide by 5 and you get 5 with 1 card leftover

3 0
3 years ago
GIVING BRAINLIEST Consider these proportions: 3:7.5 4:10 5:12.5 6:15 Which of the following proportions belongs to the above set
Aleksandr-060686 [28]

Answer:

........ It's C. ............

7 0
3 years ago
Other questions:
  • Describe in detail how you would create a number line with the following points: 3, 2.25, the opposite of 4, and – (–1 1/2).
    7·1 answer
  • Plz help me with this I need your help badly plz someone help me plz as soon as possible plz ASAP
    14·2 answers
  • Clinton earns $12 per hour cutting grass. he earned a total of $162 last week cutting grass. exactly how msny hours did he spend
    11·1 answer
  • What is the solution to the system of equations? Use the substitution method. {y=−2x+53x−4y=2
    10·1 answer
  • The side length of a square is (8-√10) inches long. What's the area of the square.
    9·1 answer
  • Express 396 as product of prime factors
    12·2 answers
  • A park started with 12 oak trees, and the number of oak trees increased at a rate of 25% each year. Write the function that mode
    5·1 answer
  • of the 24 people at thanksgiving dinner. 1/8 of the people ate pumpkin pie. 1/2 ate cherry pie. 1/4 ate pecan pie. and 1/8 ate a
    8·1 answer
  • Yes or No, is each pair of ratios or rates is equivalent? Explain your reasoning. Be specific. 3 hours worked for $12.00; 9 hour
    6·1 answer
  • Every hour at work, you are able to ship out the same number of
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!