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3 years ago

Write an equation for the line parallel to the given line that contains C.

Mathematics

1 answer:

lyudmila [28]3 years ago

6 0

ANSWER

$y= - 4x + 18$

EXPLANATION

The given line has equation;

$y = - 4x + 5$

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

$m = - 4$

The equation of this line is in the form:

$y-y_1=m(x-x_1)$

We substitute the slope and the point:

(3,6)

$y-6= - 4(x-3)$

$y= - 4x + 12+ 6$

$y= - 4x + 18$

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Select the best answer for the question. 2. Identify the coefficient of −24x7y3 A. −24 B. 3 C. 24 D. −3

MissTica

That would be the number in front of the variables

That is -24.

Ita A

7 0

3 years ago

Read 2 more answers

A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min

Natali5045456 [20]

The complete question is;

A tank contains 60 lb of salt dissolved in 400 gallons of water. A brine solution is pumped into the tank at a rate of 4 gal/min; it mixes with the solution there, and then the mixture is pumped out at a rate of 4 gal/min. Determine the amount of salt in the tank at any time

t, if the concentration in the inflow is variable and given by

c(t) = 2 + sin(t/4) lb/gal.

Answer:

dA/dt = (8 + 4sin(t/4)) - (A_t/100)

Step-by-step explanation:

Rate is given as;

dA/dt = R_in - R_out

R_in = (concentration of salt inflow) x (input rate of brine)

So, R_in = (2 + sin(t/4)) x 4 = (8 + 4sin(t/4))

The solution is being pumped out at the same rate, thus it is accumulating at the same rate.

After t minutes, there will be 400 + (0 x t) gallons left = 400 gallons left

Thus,

R_out =(concentration of salt outflow) x (output rate of brine)

R_out = (A_t/400) x 4 = A_t/100

Thus,

A_t = (100/t)(8t - 16cos(t/4) - 60)

Since we want to find the amount of salt, A(t), let's integrate;

Thus, A = 8t - 16cos(t/4) - (A_t/100)t

A = 60 from the question. Thus,

60 = 8t - 16cos(t/4) - (A_t/100)t

Let's try to make A_t the subject;

(A_t/100)t = 8t - 16cos(t/4) - 60

A_t = (100/t)(8t - 16cos(t/4) - 60)

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3 years ago

Rewrite without parentheses-8w^2x^6(7x^3+3w-6)

umka21 [38]

Answer:

-56w^2x^9-24w^3x^6-48w^2x^6

Step-by-step explanation:

Expand by distributing terms.

-(56w^2x^9+24w^3x^6-48w^2x^6)

Then remove the parentheses

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2 years ago

Divide: 1213 ÷ 9 = A)

kolezko [41]

It’s A

1213 divided by 9 is equal to 134.777778

So it is 134 R7

But if it’s rounded to the nearest then it is C.

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2 years ago

Which statement is true?

defon

Answer:

b. Multiplying decimals less than one is finding a part of a part.

Step-by-step explanation:

A part of a given number implies a selected part of a given number which can be expressed as a fraction of the number. Example, the half of any number is $\frac{1}{2}$ .