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Zigmanuir [339]
3 years ago
5

Simplify (-3xy2z2) (-2x4y3z)3

Mathematics
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

the answer is

18x^5y^5z^3

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What is the equation, in slope-intercept form, of the line that is perpendicular to the line
NeTakaya

Answer:

y = -x - 4

Step-by-step explanation:

First find the slope

y - 4 = (x - 6)

y - 4 = x - 6

y = x - 6 + 4

y = x - 2 (y = mx + C)

Slope m = 1

It is said that the line is perpendicular to a point ( -2, -2)

If two lines are perpendicular, their slope will be negative reciprocal

The negative reciprocal of slope = 1 is -1

Using a slope intercept form as requested by the question

y = mx + C

Inserting the values given

(-2, -2)

We are using point slope form

y - y_1 = m ( x - x_1)

x_1 = -2

y_1 = -2

m = -1

Insert the values

y - ( -2)) = -1( x - (-2))

y + 2 = -1 ( x + 2)---- point slope form

But we are requested to give the answer in slope intercept form

y = mx + C

We have to open the bracket

y + 2 = -1(x + 2)

y + 2 = -x - 2

y = -x - 2 - 2

y = -x - 4 ( slope - intercept form)

4 0
3 years ago
An equation of a line through (-1, 4) which is perpendicular to the line y = 4x + 1 has slope and y-intercept
Assoli18 [71]

Answer:

The answer to your question is   y = -1/4x + 15/4

Step-by-step explanation:

Data

P (-1, 4)

⊥ y = 4x + 1

Process

1.- Find the slope of the line given

       y = 4x + 1

slope = 4

2.- Find the slope of the new line

     slope 2 = -1/4

3.- Find the equation of the line

       y - y1 = m(x - x1)

Substitution

       y - 4 = -1/4(x + 1)

Simplification

       y - 4 = -1/4x - 1/4

       y = -1/4x - 1/4 + 4

       y = -1/4x - 1/4 + 16/4

Result

       y = -1/4x + 15/4

7 0
3 years ago
In an isolated environment, a disease spreads at a rate proportional to the product of the infected and non-infected populations
eimsori [14]

Answer:

Expression: N = C·L·l(t)· T + 20

The initial value problem and solution are expressed as a first order differential equation.

Step-by-step explanation:

First, gather the information:

total population, N = 2 000

Proportionality constant, C = 0.0002

l(t) number of infected individuals = l(t)

healthy individuals = L

The equation is given as follows:

N = C·L·l(t)

However, there is a change with time, so the expression will be:

\frac{dN}{dt} = C·L·l(t)

multiplying both sides  by dt gives:

dN  =   C·L·l(t)

Integrating both sides gives:

\int\limits^a_b {dN} \, dt = \int\limits^a_b {CLl(t)} \, dt

N = C·L·l(t)· T + K

initial conditions:

T= 0, N₀ = (0.01 ₓ 2 000)  = 20

to find K, plug in the values:

N₀ = K

20 = K

At any time T, the expression will be:

<u>N = C·L·l(t)· T + 20</u> Ans

8 0
3 years ago
Choose the correct equation to solve the problem: Five friends equally split a restaurant bill that comes to $32.50. How much do
Daniel [21]
5x = 32.50. and each of them pay $6.50
4 0
3 years ago
Qual é a raiz quadrada de 841?
olga_2 [115]

Answer:

29

Step-by-step explanation:

Convert 189 To A Decimal And Then Round Your Answer To The Nearest Whole Number (29) Is Already Rounded To The Nearest Whole Number So Your Answer Is 29

6 0
2 years ago
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