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3 years ago

What is the slope of a line that is parellel to y=3x+5?

Mathematics

2 answers:

Dafna11 [192]3 years ago

8 0

Answer:

Step-by-step explanation:

remember the equation y=m*x+b? well, b and m are both numbers

in this case, m is 3, since 3x= 3*x and b=5.

m is the slope, and b is the y intercept (what y is when x is equal to 0)

a line is parallel if the slope doesn't change but the y intercept changes, aka moving the line up or down. ask me questions in the comment section if you have any

cestrela7 [59]3 years ago

7 0

Answer:

The slope m, is 3

i.e. Y=Mx+c where m is slope

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Find the solutions to x2 = 24. O A. x = +216 O B. x = 16.6 O C. x= 46 O D. x = +62

babymother [125]

Answer:

x =±2 sqrt(6)

Step-by-step explanation:

x^2 = 24

Take the square root of each side

sqrt(x^2) = sqrt(24)

x = ±sqrt(4*6)

x =±sqrt(4) sqrt(6)

x =±2 sqrt(6)

5 0

3 years ago

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

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

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

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

$B - A = -9 + 3$

$B - A = -6$

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3 years ago

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spayn [35]

Answer:

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Step-by-step explanation:

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3 years ago

The first term of a sequence is -12. The recursive formula for the sequence is an = an-1 + 9. What are the next 3 terms in the s

gtnhenbr [62]

Hello :
by : an = an-1 + 9.
n= 2 : a2 =a1+9
a2 = -12+9 = -3
n=3 : a3 = a2 +9
a3 = -3+9 = 6
n = 4 : a4 = a3 +9
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3 years ago

Onyango slept at 2040 h on Thursday and woke up after 5 h 20 minutes. At what time did he wake up? A. 2.00 p.m. B. 2.40 a.m. C.

Leni [432]

Answer:

Your answer is C.

Step-by-step explanation: