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2 years ago

Find the slope of a line perpendicular to the equation 3x-y=6

Mathematics

1 answer:

MA_775_DIABLO [31]2 years ago

6 0

Answer:

$-\frac{1}{3}$

Step-by-step explanation:

The slope of a line perpendicular to a line is the negative reciprocal of the slope of the line given.

The equation of the line is:

$3x-y=6$

$y=3x-6$

The slope of this line is 3.

Thus the negative reciprocal would be $-\frac{1}{3}$

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Find the equation of the lien shown.

Mnenie [13.5K]

Answer:

y = $\frac{1}{2}$ x

Step-by-step explanation:

the equation of a line passing through the origin is

y = mx ( m is the slope )

calculate m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 3) ← 2 points on the line

m = $\frac{3-0}{6-0}$ = $\frac{3}{6}$ = $\frac{1}{2}$

y = $\frac{1}{2}$ x ← equation of line

7 0

1 year ago

Determine which answer choice matches the dot plot you drew?

Vesnalui [34]

Answer:

Step-by-step explanation:

Given data are :

{1,2,2,2,2,4,4,5,6,6,8,8,8,10}

1 appears only once so there will be 1 point above number 1 in the dot plot.

Then choice B or C or D are possible choices.

2 appears 4 times so there will be 4 points above number 4 in the dot plot.

Then choice B or C or D are possible choices.

4 appears 2 times so there will be 2 points above number 2 in the dot plot.

Then choice C or D are possible choices.

5 appears once once so there will be 1 point above number 5 in the dot plot.

Only choice that satisfies those results is C.

Hence correct answer is C.

7 0

3 years ago

Use the quadratic formula to find both solutions to the quadratic equation given below 3x^2-x+6=0

Mrac [35]

Hello from MrBillDoesMath!

Answer:

Choice E and F

Discussion:

From the quadratic formula with a = 3, b = -1, and c = 6

x = ( -b +\- sqrt(b^2 - 4ac) ) / (2a) => substitute in a,b,c from above

x = ( -(-1) +\- sqrt((-1)^2 - 4(3)(6)) / (2*3) => discriminant = 1 - 72 = -71)

x = ( 1 +\- sqrt(-71))/ 6

which are choices E and F

Thank you,

MrB

6 0

3 years ago

Read 2 more answers

X + 2/3 = 8/9 x=__ ..........................................

stepladder [879]

Answer:

x = -6

Step-by-step explanation:

$x+\frac{2}{3}=\frac{8}{9}x\\\\x = \frac{8}{9}x - \frac{2}{3}\\\\x - \frac{8}{9}x= -\frac{2}{3}\\\\\frac{9}{9}x-\frac{8}{9}x=\frac{2}{3}\\\\\frac{1}{9}x=-\frac{2}{3}\\\\x=-\frac{2}{3}*\frac{9}{1}\\\\x=(-2)*3\\\\x = -6$

6 0

2 years ago

Read 2 more answers

What is the solution of the system? Use any method.<br><br> 3x + 2y = 7<br> y = –3x + 11

Gnom [1K]

Answer:

$(5,-4)$

Step-by-step explanation:

SOLVE BY SUBSTITUTION:

STEP 1: Replace all occurrences of $y$ with $-3x+11$ in each equation.

$-3x+22=7\\y=-3x+11$

STEP 2: Solve for $x$ in the first equation.

$x=5\\y=-3x+11$

STEP 3: Replace all occurrences of $x$ with $5$ in each equation.

$y=-4\\x=5$

6 0

2 years ago