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3 years ago

How to simplify 4x^-3 Is the answer 1/4a^3 ?

1 answer:

4 0

The exponent only applies to the x not the 4
so only the x has permission to move to the denominator
this leaves you with 4/x^3

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Natali5045456 [20]

His name is in the name of the name in the name of the name in the name of the name

8 0

2 years ago

Write -8 in simplest radical form.

Nadya [2.5K]

2.8 or if rounded to the nearest tenth so 2.8√8

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2 years ago

What is an equation of the line that passes through the point (-6, -7) and is

Alexandra [31]

Answer:

Step-by-step explanation:

Product of slope of perpendicular lines = -1

6x + 5y = 30

Write this equation in y = mx + b form

5y = -6x + 30

y = $\frac{-6}{5}x+\frac{30}{5}$

$y=\frac{-6}{5}x + 6$

Slope of this line m₁ = -6/5

m₁ * m₂ = -1

m₂ = -1÷m₁ = -1 * $\frac{5}{-6}$

$m_{2}=\frac{5}{6}$ & (-6 , -7)

Equation of the required line: y - y₁ = m (x - x₁)

$y - (-7) = \frac{5}{6}(x - [-6])\\\\y + 7 = \frac{5}{6}x + 6 *\frac{5}{6}\\\\y = \frac{5}{6}x +5-7\\\\y=\frac{5}{6}x-2$

8 0

3 years ago

15. The height and yolume of a cylinder are 4cm and 616cm respectively. Calculate the diameter of the base. (take t = 27 쪽 A. 7c

irakobra [83]

Step-by-step explanation:

Given that,

Height of cylinder = 4 cm
Volume of cylinder = 616 cm³

To find,

Diameter of the base = ?

Firstly we'll find the base radius of the cylinder.

$\longmapsto\rm{V_{(Cylinder)} = \pi r^2h}\\$

According to the question,

$\longmapsto\rm{616= \dfrac{22}{7} \times r^2 \times 4}\\$

$\longmapsto\rm{616 \times 7 = 22 \times r^2 \times 4}\\$

$\longmapsto\rm{4312 = 88 \times r^2 }\\$

$\longmapsto\rm{\cancel{\dfrac{4312}{88}} = r^2 }\\$

$\longmapsto\rm{49 = r^2 }\\$

$\longmapsto\rm{\sqrt{49} = r }\\$

$\longmapsto\rm{7 \; cm = r }\\$

Now,

$\longmapsto\rm{Diameter = 2r }\\$

$\longmapsto\rm{Diameter = 2(7 \; cm) }\\$

$\longmapsto\bf{Diameter = 14 \; cm}\\$

The required answer is 14 cm.

4 0

3 years ago

1) Mike's sister, Kellie, is 4 years older than he is. Let m be Mike's age and let k be Kellie's age. ) Complete the table to sh

sveta [45]

Answer:

10 -> 14

15-> 19

20-> 24

25-> 29

Step-by-step explanation:

Add 4 each time

5 0

2 years ago