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tangare [24]
3 years ago
12

What is the equation of a line passing through (-6,5) and having a slope of 1/3 (1 over 3) ?

Mathematics
2 answers:
krek1111 [17]3 years ago
7 0
The answer is y=(1/3)x+7, use y=mx+b and solve for b where m is slope
Nikitich [7]3 years ago
3 0
\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{5})\qquad 
\qquad \qquad 
slope =  m \implies \cfrac{1}{3}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=\cfrac{1}{3}[x-(-6)]\implies y-5=\cfrac{1}{3}(x+6)
\\\\\\
y-5=\cfrac{1}{3}x+2\implies y=\cfrac{1}{3}x+7
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Angle XYZ = 2X° and angle PQR = (8X -20)°. If angle XYZ and angle PQR are supplementary, find the measure of each angle. Angle P
Alchen [17]

Answer:

PQR = 140

Step-by-step explanation:

Given

XYZ = 2X

PQR = 8X - 20

Required

Find PQR

Since both angles are supplementary, we have:

XYZ + PQR = 180

This gives:

2X + 8X - 20 = 180

10X - 20 = 180

Collect Like Terms

10X = 20 + 180

10X = 200

Divide through by 10

X = 20

Substitute 20 for X in PQR = 8X - 20

PQR = 8 * 20 -20

PQR = 140

7 0
3 years ago
There are 4 blue, 2 red, 1 brown, 1 black, 1 white, and 3 green crayons in a box. What is the probability of picking a red crayo
loris [4]

Answer:

1/6

Step-by-step explanation:

Simply just Add the different amounts of different crayons as your denominator, and find the number of red, as your numerator. This gets you 2/12. 2/12 = 1/6

Can I be brainliest? TYSM

8 0
2 years ago
Read 2 more answers
ANSWER QUICK!! 75 PTS!!!
iogann1982 [59]

Answer:

2) x = -2 , y = 2

3) no solution exists

Step-by-step explanation:

Solve the following system:

{-2 x - 3 y = -2

y = 2 x + 6

Hint: | Perform a substitution.

Substitute y = 2 x + 6 into the first equation:

{-2 x - 3 (2 x + 6) = -2

y = 2 x + 6

Hint: | Expand the left hand side of the equation -2 x - 3 (2 x + 6) = -2.

-2 x - 3 (2 x + 6) = (-6 x - 18) - 2 x = -8 x - 18:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Choose an equation and a variable to solve for.

In the first equation, look to solve for x:

{-8 x - 18 = -2

y = 2 x + 6

Hint: | Isolate terms with x to the left hand side.

Add 18 to both sides:

{-8 x = 16

y = 2 x + 6

Hint: | Solve for x.

Divide both sides by -8:

{x = -2

y = 2 x + 6

Hint: | Perform a back substitution.

Substitute x = -2 into the second equation:

Answer: {x = -2 , y = 2

4 0
3 years ago
Answer...........................
Usimov [2.4K]

Answer:

9.9 years

Step-by-step explanation:

A = P e ^(rt)

Where A is the amount in the account

P is the amount invested

R is the interest rate

t is the time

P = 8500

r =7% = .07

A = 17000

Substituting into the equation

17000=8500 e^(.07t)

Divide each side by 8500

17000/8500=8500/8500 e^(.07t)

2 = e^(.07t)

Take the natural log of each side

ln (2) = ln e^(.07t)

ln(2) = .07t

Divide each side by .07

ln(2)/.07 = .07t/.07

ln(2)/.07 = t

9.902102579=t

Rounding to one decimal place

9.9 years

4 0
3 years ago
Read 2 more answers
HELP PLEASE
GREYUIT [131]
The Answer is (D. No solution)
6 0
2 years ago
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