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2 years ago

What is the reciprocal of -b/3

Mathematics

1 answer:

Ludmilka [50]2 years ago

8 0

Answer:

-3/b

Step-by-step explanation:

The reciprocal of -b/3 is -3/b

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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.

Elena-2011 [213]

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

$Ax = -3x\\A = -3$

$By = -9y\\B = -9$

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

$B - A = -9 + 3$

$B - A = -6$

3 0

2 years ago

The perimeter of a building is 78 feet. The width of the building is seven more than three times the length of the building. Wha

Alchen [17]

P=2l+2w

W=7+3l

So substitute into the original equation

P=2l + 2(7+3l)

78=2l +14 + 6l

-14 -14

—————-

64=8l

8=length

W=7+3l

= 7+3(8)

=7+24

=31

Check your work

Perimeter=8+8+31+31

=78

Hope this helps

8 0

2 years ago

A(n) _______ must be attached to the top end of a conduit riser, where conduit is used in a service installation.

Alinara [238K]

Service entrance head. Hope this helps :)

4 0

3 years ago

Read 2 more answers

Pls help fast. lots of point! help pls??

Scilla [17]

Answer:

(a) 1.54 seconds, -0.26 meters

(b) approach 3 meters

Step-by-step explanation:

(a) The value of x that minimizes height is 1.54 seconds.

The minimum height is -0.26 meters.

(b) For large x, the height appears to asymptotically approach 3 meters.

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3 years ago

Josie is saving money to purchase a new pair of shoes. She has already saved $5 and will earn $0.50 for each chore she completes

nordsb [41]

Answer:

The graph would be y=0.5x+5

Step-by-step explanation:

0.5 is the slope since it can change anythime and 5 stays the same so therefore it is the y-intercept. :)

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2 years ago