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3 years ago

Which is the equation of a line parallel to the line with the equation: y = 1/4x + 2

Mathematics

2 answers:

pav-90 [236]3 years ago

7 0

answer:

y=1/4x-7

Step-by-step explanation:

equations with the same slope are parallel no matter the y-intercept

Neporo4naja [7]3 years ago

4 0

Answer:

I don't think it's specified but I can tell you the slop has to stay the same but the y-intercept ha

s to be a different number.

if over a certain point the all you have to do is plug the points into x and y and remove the y intercept. An example is what line is parallel to y=1/4x+2 and crosses point (4,2).

Then you first have to plug in x and y and remove the y intercept to find a new y intercept. 2=1/4(4)+B

Next is to put together common like terms. 2=1+B

Then subtract one because that's it's opposite leaving B=1

then you substitute or replace the old y intercept with the new one making the answer Y=1/4x+1

I hope this will help you.

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7. Write an equation for the line that is parallel to the given line and that passes through the given point.

Vlad1618 [11]

Answer:

C. y = 1/2x - 14

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line parallel to y = 1 /2 x − 8 .

y = 1 /2 x − 14 PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = 1 /2 x − 8 .

y = − 2 x − 29 PERPENDICULAR

8 0

3 years ago

What is 2 + 10 x 30(7.7) - 2.34 x pi divided by 1/2 x 1.33333354 + 6(5 -6 x 10.10h)=?

yaroslaw [1]

The answer is 23209.0497168 + (5-6 x 10.10h) = ?

sorry i cant help you anymore becuz i don't know what h is but i did simplify the other part for you so yeah

7 0

3 years ago

The rate of change in sales for Garmin from 2008 through 2013 can be modeled by

Zina [86]

Answer:

a) The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of Garmin from 2008 through 2013 were $ 2.5 billion.

Step-by-step explanation:

a) The model for the sales of Garmin is obtained by integration:

$S(t) = -0.0972\int {t^{2}} \, dt + 2.136\int {t}\,dt -11.9 \int\,dt$

$S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + C$ (1)

Where $C$ is the integration constant.

If we know that $t = 9$ and $S(t) = 2.9$ , then the model for the sales of Garmin is:

$-\frac{81}{2500} \cdot 9^{3} + \frac{267}{250}\cdot 9^{2}-11.9\cdot (9) + C = 2.9$

$C = 47.112$

The model for the sales of Garmin is represented by $S(t) = -\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2} - 11.9\cdot t + 47.112$ .

b) The average sales of the Garmin from 2008 through 2013 ( $\bar{S}$ ) is determined by the integral form of the definition of average, this is:

$\bar{S} = \frac{1}{13 - 8} \cdot \int\limits^{13}_{8} {S(t)} \, dt$ (2)

$\bar S = \frac{1}{5}\cdot \int\limits^{13}_{8} {\left[-\frac{81}{2500}\cdot t^{3} + \frac{267}{250}\cdot t^{2}-11.9\cdot t + 47.112 \right]} \, dt$

$\bar S = \frac{1}{5}\cdot \left[-\frac{81}{10000}\cdot (13^{4}-8^{4}) +\frac{89}{250}\cdot (13^{3}-8^{3}) -\frac{119}{20}\cdot (13^{2}-8^{2}) +47.112\cdot (13-8) \right]$ $\bar{S} = \frac{1}{5}\cdot (-198.167+599.86-624.75+235.56)$