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1 year ago

Convert the following to standard form y=2/5 x - 1/3

Mathematics

1 answer:

Afina-wow [57]1 year ago

8 0

Given :-

y = 2/5x - 1/3

To Find :-

To convert the given equation into standard form.

Solution :-

As we know that the standard form of the line is ,

$\sf\longrightarrow$ ax + by + c = 0

So the given equation is ,

$\sf\longrightarrow$ y = 2/5x -1/3

$\sf\longrightarrow$ y = 6x - 5/15

$\sf\longrightarrow$ 15y = 6x - 5

$\sf\longrightarrow$ 6x -15y -5 = 0

Hence the required equation of the line is 6x -15y-5=0.

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2 years ago

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Olin [163]

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2 years ago

Read 2 more answers

Rewrite the expression in the form 2". E

Vlad [161]

Answer:

z^ {8/5}

Step-by-step explanation:

$(z^{\frac{-4}{3})^{\frac{-6}{5} } \\We\ know\ that\ a^{(b)^c} = a^{bc}\\\\Hence, \\\\{z^{\frac{-4}{3})^{\frac{-6}{5}}\\}={z^{\frac{-4}{3}*\frac{-6}{5}\\}\\=z^{\frac{24}{15}}\\=z^\frac{8}{5}$

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2 years ago

A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the

Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

width = 5 feet

height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$x^{2}$ = $6^{2}$ + $5^{2}$

$x^{2}$ = 36 + 25

= 61

x = $\sqrt{61}$

= 7.81

let the length of the diagonal support be represented by l. So that;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$l^{2}$ = $x^{2}$ + $8^{2}$

= $\sqrt{61}$ + 64

l = $\sqrt{\sqrt{61} + 64 }$

= 61 + 8

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Thus, the length of the diagonal support is 69 feet.

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2 years ago

A certain bean plant grows 15% of its height each day today after 10 days the bean plant is 27 inches tall how tall was it yeste

frez [133]

Given:
15% of its height each day
27 inches on day 10.

How tall was it yesterday?

27 represents 115% of the height yesterday. So we divided 27 by 115% to get yesterdays height.

27 ÷ 115% = 23.48 inches.

The plant was 23.48 inches tall yesterday.

To check:
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2 years ago

Convert the following to standard form y=2/5 x - 1/3​

Convert the following to standard form y=2/5 x - 1/3