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2 years ago

Solve the following equation for the variable indicated 15 = Зn + 6р, for n

Mathematics

1 answer:

Taya2010 [7]2 years ago

8 0

Answer:

Solving the equation $15 = 3n + 6p$ for variable n we get $\mathbf{n=5-2p}$

Step-by-step explanation:

We need to solve the equation $15 = 3n + 6p$ for variable n

Solving:

$15 = 3n + 6p$

Subtract both sides by 6p

$15-6p = 3n +6p -6p\\15-6p=3n$

Switch sides of equality

$3n=15-6p$

Divide both sides by 3

$\frac{3n}{3} =\frac{15-6p}{3}\\n=\frac{3(5-2p)}{3}\\n=5-2p$

So, solving the equation $15 = 3n + 6p$ for variable n we get $\mathbf{n=5-2p}$

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What is the relationship between the 6s in 66,0472

vagabundo [1.1K]

They are both in the thousands places

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3 years ago

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Answer:

The domain of a function is defined as the set of x-values for which the function is real and defined. The first alternative is correct

Step-by-step explanation:

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3 years ago

Graph f(x) =x and g(x) =-1/3x+2

Serjik [45]

Hello! I'll write the instructions to graph these functions.

f(x)=x
Technically, this function is y=x, so the slope would be 1. To graph this one, start at the origin (0,0) and move up one unit, and to the right one unit since this is a positive slope.

g(x)= -1/3x+2
First, plot a point at y=2 when x=0. 2 is your y-intercept. Your slope is negative, so the line will be decreasing. From your first point, head down 1 unit and to the right 3 units. Continue plotting points from the previous points.

Also, if you have a graphing calculator, here are the steps to graphing the functions: ON, Y= (enter your functions), and press GRAPH or 2nd, TABLE to see individual points. Hope this helps! :)

3 0

3 years ago

Calculate the area of triangle ABC with altitude CD, given A(−7, −1), B(−1, 5), C(0, 0), and D(−3, 3)

Snezhnost [94]

Answer:

A=25 (Rounded)

Step-by-step explanation:

The first step is to find the length of BA which is the base, then you have the find the length of CD, the hight.

To find the distance, you need to use the distance formula which is

$d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}}$ (It does not matter if A is x1 or is B is x1, it just has to remain consistent)

I am going to first find BA

$d=\sqrt{\left({-7}-{-1}\right)^{2}+\left({-1}-{5}\right)^{2}}$

Next, subtract accordingly

$d=\sqrt{\left({-7}+{1}\right)^{2}+\left({-1}-{5}\right)^{2}}$

$d=\sqrt{\left({-6}\right)^{2}+\left({-6}\right)^{2}}$

Once you do that, you want to square -6 and -6 which will give you

$d=\sqrt{\left({36}\right)+\left({36}\right)}$

Now add 36 with 36 which will leave you with

$d=\sqrt{{72}}$

Do that same thing for CD. If you did it right, you should be left with

$d=\sqrt{{18}}$

to find the area of a triangle, you must use the formula

$A=\frac{B*H}{2}$

The Base is $\sqrt{{72}}$ (BA) and the Hight is $\sqrt{{18}}$ (CD). substitute to get

$A=\frac{\sqrt{{72}}*\sqrt{{18}}}{2}$

Multiply the Base by the Hight to get

$A=\frac{\sqrt{{1,296}}}{2}$

Divide 1,296 by 2 to get

$A=\sqrt{{648}}$

Which is equal to

$A=25.455844122715710878430397035775$

Rounding it to the nearest whole number you get

A=25

Hope this helps. Feel free to ask any follow-up questions.

Have a good day! :)

6 0

3 years ago

A birdhouse and the pole that it is on cast a shadow 15 feet long. If a person standing nearby casts a shadow 5 feet long, and t

Viefleur [7K]

Answer:
12
Step-by-step explanation:
15 feet total amount combined by pole and
birdhouse
4 foot tall person makes 5 feet long
shadow
5×3=15
4x3=12 so the birdhouse and pole are 12
feet
THANKS!

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2 years ago