MATHEMATICS MIDDLE SCHOOL

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

Answers

Answer 1

Answer:

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

$(3y)/(3) = -(5)/(3) - (x)/(3)$

$y = -(5)/(3) - (x)/(3)$

The slope of the line is the coefficient of x

Slope = $- (1)/(3)$

The question says line Ax + By = 3 is parallel to line x + 3y = -5; This means that they have the same slope of $- (1)/(3)$

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

$m = (y - y_1)/(x - x_1)$

Where m is the slope; m = $- (1)/(3)$ ; $(x_1, y_1) = (-7,2)$

Substitute these values in the formula above; the formula becomes

$-(1)/(3) = (y - 2)/(x - -7)$

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

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

$Ax = -3x\nA = -3$

$By = -9y\nB = -9$

$B - A = -9 - (-3)$

$B - A = -9 + 3$

$B - A = -6$

Related Questions

Triangle abc A(0,4) B(0,-2) C(2,0). The triangle is reflected over the x axis. Then the image is rotated 180 counterclockwise about the origin. What are the coordinates of the final image?
Points a and b lie on the graph of the equation y=5.2x What r thr y coordinates Point a (-6,___) Point b (7,___) And hey if you have time I have two other probs that I need help on just click on my profile thanks !?!
Find the geometric mean of 4 and 12.
What is .62 as a fraction in simple terms
Write an equatio in standard form using integers when x=-2 and y=3

A rectangle porch is 4 feet wide. It is 3 times long as it is wideAlso find the perimeter of the porch

Answers

Label the width: 4ft
Label the length: 12ft (4ft for each segment).
Perimeter=12+12+4+4=32ft

Final answer:

The porch, forming a rectangle, is 12 feet long, as this is three times its width of 4 feet. By using the formula for the perimeter of a rectangle, we find the perimeter here is 32 feet.

Explanation:

The rectangle porch in this problem is 4 feet wide. We are also told that the length of the porch is 3 times its width. So, the length of the porch is 4 feet (width) x 3 = 12 feet. The perimeter of a rectangle is found using the formula: Perimeter = 2* (length + width). Plugging in the values we found, the perimeter of the porch is 2 * (12 feet + 4 feet) = 32 feet.

Learn more about Perimeter Calculation here:

brainly.com/question/34472601

#SPJ11

Asking Again... Jennifer chooses a playing card at random from a deck of 52 cards then she chooses another one. What is the probability that she will get 2 cards that are hearts?

Answers

52 cards in a deck
4 suits
1/4 of 52 are hearts
1/4 of 52=13 cards

probability of getting 1 heart at first is 1/4

one card is taken out and assuming that it is the heart, 13-1=12,52-1=51
12/51

multiply
1/4 times 12/51=3/51=1/17

The difference between two whole numbers is 14. Their product is 1,800. What are the two numbers?

Answers

The numbers are "x" and "y", therefore, we suggest this system of equations:
x-y=14
xy=1800
We can solve by substitution method.
x=14+y

(14+y)y=1800
14y+y²=1800
y²+14y-1800=0

Now, we solve this square equation:
y=[-14⁺₋√(196+7200)] / 2=(-14⁺₋86)/2
We have two solutions:

y₁=(-14-86)/2=-50 ⇒x=14+y=14-50=-36
y₂=(-14+86)/2=36 ⇒x=14+y=14+36=50

Answer: we have two solutions:
Solution1: The first number is -36 and the other number is -50
Soltuion2: The first number is 50 and the other number is 36

The first AMC 8 was given in 1985 and it has been given annually since that time. Samantha turned 12 years old the year that she took the seventh AMC 8. In what year was Samantha born?

Answers

the seventh year is 1985 + 7 = 1992

if she was 12 years old in 1992, then 12 years earlier is 1980 - the year of her birth

answer is 1980

12-7=5

1985-5=1980

Samantha was born in 1980.

Wats the 60% off a prize that is $20.00

Answers

$x\ \rightarrow\ the\ 60\%\ of\ a\ prize\ that\ is\ \$20.00\n\nx=60\%\ \cdot \ \$20.00= (60)/(100) \cdot \$20.00=\$12.00\n\nAns.\ \$12.00$

a entire band decides to have a concert . tickets for the concert cost 7.50 each. a local buisness decides to donate an extra 0.50 for each 1.00 in ticket sales what is the least the number of concert tickets the band must sell in order to recieve 5,130 dollars

Answers

I think about 644 Tickets just an Educated guess.

Other Questions

Eduardo and Sarawong are selling wrapping paper for a school fundraiser. Eduardo sold 5 rolls of plain wrapping paper and 5 rolls of holiday wrapping paper for a total of $185. Sarawong sold 14 rolls of plain and 5 rolls of holiday for a total of $338. Find the cost per roll of plain wrapping paper and 5 rolls of holiday wrapping paper.

Which of the following statements about physical fitness is TRUE?A Physical fitness is a continuous, changing state.B. Physical fitness is influenced by many factors.C. Physical fitness is individualized to each personD. all of the abovePlease select the best answer from the choices provided.Mark this and returnSave and ExitNextSubmit

System of equations X+3y=73X+y=27

The pair of polygons is similar. find the value of x. answer on picture