Determine the reading of the scale of the following instrument

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 of $x +

Salsk061 [2.6K]

Answer:

-6

Step-by-step explanation:

We know that since Ax + By = 3 passes through (-7, 2), then if we plug -7 in for x and 2 in for y, the equation is satisfied. So, let's do that:

Ax + By = 3

A * (-7) + B * 2 = 3

-7A + 2B = 3

We also know that this line is parallel to x + 3y = -5, which means their slopes are the same. Let's solve for y in the second equation:

x + 3y = -5

3y = -x - 5

y = (-1/3)x - (5/3)

So, the slope of this line is -1/3, which means the slope of Ax + By = 3 is also -1/3. Let's solve for y in the first equation:

Ax + By = 3

By = -Ax + 3

y = (-A/B)x + 3/B

This means that -A/B = -1/3. So, we have a relationship between A and B:

-A/B = -1/3

A/B = 1/3

B = 3A

Plug 3A in for B into the equation we had where -7A + 2B = 3:

-7A + 2B = 3

-7A + 2 * 3A = 3

-7A + 6A = 3

-A = 3

A = -3

Use this to solve for B:

B = 3A

B = 3 * (-3) = -9

So, B = -9 and A = -3. Then B - A is:

B - A = -9 - (-3) = -9 + 3 = -6

The answer is -6.

~ an aesthetics lover

7 0

3 years ago

Read 2 more answers

What is the value of y?

vredina [299]

Y = 44

180 - 88 = 92
180 - 92 = 88
88/2 = 44

8 0

3 years ago

Find the midpoint of the line segment with end coordinates of: (−3,−1)and (−4,2) Give coordinates as decimals where appropriate.

lawyer [7]

Answer:

ANSWER

M=(−72,12).

Step-by-step explanation:

The midpoint for two points P=(x1,y1) and Q=(x2,y2) is

M=(x1+x22,y1+y22).

We have that x1=−3, y1=−1, x2=−4, y2=2.

So, M=(−3+(−4)2,−1+(2)2)=(−72,12)

4 0

3 years ago

Read 2 more answers

Please help me. I don’t understand this either.

horrorfan [7]

Answer:

It's B

Step-by-step explanation:

because each bracelet is $3 and 3 is a factor of 9 because 3x3 = 9 :)

5 0

3 years ago

3х + 9 = 2х + 5 is it no solutions, all real numbers, or does x equal something?

zepelin [54]

Answer:

Step-by-step explanation:

<h3>Given Equation:</h3>

3x + 9 = 2x + 5

<h3>Question:</h3>

Whether x has one solution or infinite solutions or no solutions?

<h3>Solution:</h3>

=> 3x + 9 = 2x + 5

(On shifting like terms to one side we get)

=> 3x - 2x = 5 - 9

(On subtracting)

=> x = - 4

<h3>Result:</h3>

Hence, x has only one solution that is, x = -4 (Ans)

7 0

3 years ago