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3 years ago

What is an equation of the line that passes through the point (-6, 1) and has a slope of 3?

Mathematics

1 answer:

AlladinOne [14]3 years ago

8 0

Y= mx +b ; x is the slope and y is the y-intercept.

So in this case, our equation will be y= 3x + 19 :)

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What are the center and radius of the circle defined by the equation x^2 + y^2 -6x + 4y + 4=0

Sloan [31]

The equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - a coordinates of the center

r - a radius

$x^2+y^2-6x+4y+4=0\ \ \ |-4\\\\x^2-2\cdot x\cdot3+y^2+2\cdot y\cdot2=-4\ \ \ |+3^2\ |+2^2\\\\\underbrace{x^2-2\cdot x\cdot3+3^2}_{(a-b)^2=a^2-2ab+b^2}+\underbrace{y^2+2\cdot y\cdot2+2^2}_{(a+b)^2=a^2+2ab+b^2}=-4+3^2+2^2\\\\(x-3)^2+(y+2)^2=3^2$

Answer:

the center: (3, -2)

the radius: 3

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3 years ago

9. This piecewise function represents the Social Security taxes for 2009. How much did Rachel pay in Social

ANEK [815]

Answer:

Option c.

Step-by-step explanation:

It is given that the piecewise function represents the Social Security taxes for 2009.

$Tax=\begin{cases}0.062x & \text{ when } 0< x < 106,800 \\ \$6,621.60 & \text{ when } x > 106,800 \end{cases}$

We need to find Rachel's security tax if she earned $102,000 in 2009.

Since 102,000 lies in $0$ , therefore

$Tax=0.062x$

Put x=102000.

$Tax=0.062(102000)$

$Tax=6324$

So, the Social Security tax is $6324.

Therefore, the correct option is c.

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3 years ago

What times 2 equals 64?

nlexa [21]

32 times 2 is equal to 64

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Step-by-step explanation:

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2 years ago

The cost to hire a plumber for x hours is shown on the graph. For this graph, what does the y-intercept of the line of best fit

Alenkasestr [34]

The y-intercept represents the flat charge to hire the plumber

Explanation: The y-intercept is 0 hour, which can represent flat charge

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2 years ago

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