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2 years ago

Which equation represents the line that passes through the point (-9, -3) and has a slope of -6?

Mathematics

1 answer:

NISA [10]2 years ago

5 0

Answer:

y = -6x - 57

Step-by-step explanation:

We are given that a line passes through the point (-9, -3) and has a slope of -6

We want to write the equation of this line.

There are 3 ways to write the equation of the line, with the most common way being slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept

As we are already given the slope of the line, we can immediately plug that in the equation for m

Substitute m with -6.

y = -6x + b

Now we need to find b

As the equation passes through the point (-9, -3), we can use its values to help solve for b.

Substitute -9 as x and -3 as y.

-3 = -6(-9) + b

Multiply

-3 = 54 + b

Subtract 54 from both sides

-57 = b

Substitute -57 as b in the equation.

y = -6x - 57

Topic: finding the equation of the line

See more on this topic here: brainly.com/question/27645158

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3 years ago

Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much

yaroslaw [1]

The number of earnings towards social security should be $1,890.

According to the statement

We have to find that the security out of their gross wages.

So, For this purpose, we know that the

Gross pay refers to the amount used to calculate the wages of an employee or salary.

From the given information:

The employers in 2012 paid 4.2%.

The employer should paid 6.2%.

And, the earning should be $45,000.

Based on the above information, the calculation is as follows:

4.2% * 45,000

= $1,890

Therefore, we will conclude that the number of earnings towards social security should be $1,890.

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1 year ago

I need your help guys help me differentiate this question

Elden [556K]

Answer:

$6((4 {x}^{3} - 5x + 1) ^{ - 4} + 4 {x}^{10} + 4) ^{5} \times (- 4(4x ^{3} - 5x + 1)^{ - 5} \times 12 {x}^{2} - 5 ) + 40 {x}^{9}$

3 0

3 years ago

If point A is located at (5,-7) and there are 8 points between A and B, what could be the possible coordinates for point B?

aleksandr82 [10.1K]

Answer: The possible cordinates (X,Y) of B can be found with the formula Y = √(8^2 - (X- 5)^2) - 7 where -3 ≤ X ≤ 13

Step-by-step explanation:

The point A is located at (5, -7)

And we know that we have 8 units of difference between A and B.

The equation of a circle centerd in the point (x0, y0) is:

(x - x0)^2 + (y - y0)^2 = r2

where r is the radius of the circle

So we can draw a circle of 8 units around A, and get:

(X - 5)^2 + (Y - (-7))^2 = 8^2

So from this equation we can find all the possible values of B, for this we can isolate one of the variables in one side and get a function.

Y = √(8^2 - (X- 5)^2) - 7

So for a given value of X, you can find the value of Y. where you need to remember that (8^2 - (X-5)^2) can not be a negative number, so we must have that:

8^2 ≥ (X - 5)^2

So X can go from -3 (because (-3 - 5)^2 = 8^2)

to X = 13 (because (13 - 5)^2 = 8^2)

So X is in the range {-3, 13}

4 0

3 years ago

Read 2 more answers

You deposit $3000 in an account earning 4% interest compounded continuously. How much will you have in

V125BC [204]

Answer: $3,664.21

Formula: $A=Pe^{rt}$

P = principle/original amount = $3000
r = rate of interest = 4% = 0.04
t = time period (in years) = 5
A = the new amount
e = Euler's number ≈ 2.718...

Substitute in the values:

$A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208$

<u>Approximately $3,664.21</u>

<em>I think this is how you solve it o_O</em>

7 0

3 years ago