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Anni [7]
2 years ago
14

A formula is expressed as D= a(2+kt). Express k in the terms of D, a and t? (Show work)

Mathematics
1 answer:
Mariulka [41]2 years ago
7 0
SIMPLIFIED \: \: ALGEBRA \\ \\ \\\\We \: are \: given \: - \\ \\ \: \\ D \: = \: a \: ( \: 2 + kt \: ) \\ \\ D \: = \: 2a \: + \: akt \: \\ \\ D \: - \: 2a \: = \: akt \: \\ \\ \frac{D \: - \: 2a}{at} \: = \: k \\ \\ \\ Therefore \: , \: in \: terms \: of \: D \: , \: \: a \:, \: \: and \:  \: t \: \\ \\ k \: = \: \frac{D - 2a}{at \: } \: \: \: \: \: \: \: Ans.
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Find an equation for the line with the given properties. Perpendicular to the line x - 6y = 8; containing the point (4,4) O 1) y
Pepsi [2]

Answer:

Option 3 - y=-6x+28

Step-by-step explanation:

Given : Perpendicular to the line x - 6y = 8; containing the point (4,4).

To Find : An equation for the line with the given properties ?

Solution :

We know that,

When two lines are perpendicular then slope of one equation is negative reciprocal of another equation.

Slope of the equation x - 6y = 8

Converting into slope form y=mx+c,

Where m is the slope.

y=\frac{x-8}{6}

y=\frac{x}{6}-\frac{8}{6}

The slope of the equation is m=\frac{1}{6}

The slope of the perpendicular equation is m_1=-\frac{1}{m}

The required slope is m_1=-\frac{1}{\frac{1}{6}}

m_1=-6

The required equation is y=-6x+c

Substitute point (x,y)=(4,4)

4=-6(4)+c

4=-24+c

c=28

Substitute back in equation,

y=-6x+28

Therefore, The required equation for the line is y=-6x+28

So, Option 3 is correct.

8 0
2 years ago
11.
Mrrafil [7]

Answer:

2 should be distributed as 2y + 16; y = 8

Step-by-step explanation:

We have to distribute 2, then:

Now we have to sum (-2y) in both sides of the equation:

Finally we have to divide both sides of the equation in 2:

Then the answer is 2 should be distributed as 2y + 16; y = 8

Hope this helps.

8 0
3 years ago
Which type of conic section is represented by the equation y = (x-10)^2 - 5?
erastovalidia [21]

Answer:

That's a parabola

explanation:

6 0
2 years ago
6+4+5+4+3+4+9887777+4444
slava [35]

Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Herodoto, historiador
Masja [62]

Answer:

Defining the straight number of integers, we have to live in the year 2020 and this Greek historian was born in the year - 484.

Step-by-step explanation:

When using whole numbers, we denote positive numbers as the number of numbers after 0, and negative numbers the number of numbers before zero.

So if we consider the birth of Christ to be the year 0, then all years before Christ will be negative and all years after Christ will be positive.

So we have to live in the year 2020 and this Greek historian was born in the year - 484.

3 0
3 years ago
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