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3 years ago

Put the following equation of a line into slope-intercept form, simplifying all fractions.

Mathematics

1 answer:

Westkost [7]3 years ago

3 0

Y=1 1/4(1.25)x +9, add 8x to each side and then divide each side by 6

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X^3/x^1/6=x^a value of a in simplest form?

Afina-wow [57]

Answer: a = 17/6

Step-by-step explanation:

I will use two laws of indices to solve this question

1. x^a / x^b = x^(a-b)

2. x^a = x^b, => a = b

Using both laws

x³/x^1/6 = x^a

x^(3-1/6) = x^a

3 - 1/6 = a

a = 3 - 1/6

a = (18 - 1)/6 using LCM

a = 17/6

5 0

3 years ago

Determine if the equation y = 2/5 x − 4 y=25x-4 represents a proportional relationship. If so, determine the constant of proport

Vilka [71]

Answer:

The linear equation represents a proportional relationship and its constant of proportionality is $k = \frac{2}{5}$ .

Step-by-step explanation:

A proportional relationship exists when the following relationship is observed:

$u = k\cdot v$

Where:

$u$ - Dependent variable.

$v$ - Independent variable.

$k$ - Proportionality constant.

If $y =\frac{2}{5}\cdot x - 4$ and $v = x$ and $u = y+4$ , the following expresion is found:

$y = \frac{2}{5}\cdot x -4$

$y + 4 = \frac{2}{5}\cdot x$

$u = \frac{2}{5}\cdot v$

The linear equation represents a proportional relationship and its constant of proportionality is $k = \frac{2}{5}$ .

8 0

3 years ago

HELP MEEEE PLZ. i need to Find the surface area and volume

lisabon 2012 [21]

Answer:

A ≈ 494.80 $mm^{2}$

V = 827.02 $mm^{3}$

Step-by-step explanation:

height ( h ) = 13 mm

radius ( r ) = $\frac{9mm}{2}$ = 4.5 mm

Surface area = $2\pi rh + 2\pi r$

= 2π(4.5)(13) + 2π(4.5)

≈ 494.80 $mm^{2}$

Volume = $\pi r^{2} h$

= $\pi (4.5)^{2} (13)$

= 827.02 $mm^{3}$

6 0

3 years ago

30x297 in distributive property

Vedmedyk [2.9K]

Answer:

8910

Step-by-step explanation:

30x297 = 8910

4 0

3 years ago

Benjamin has purchased a $105,000 home with a 30-year mortgage at 4.75%.

Lostsunrise [7]

Answer:136 months

Step-by-step explanation:

7 0

3 years ago