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3 years ago

Which of the following shows how -6 and -3 compare?

Mathematics

1 answer:

Sever21 [200]3 years ago

5 0

-6 is father away from 0 than -3 is

this means that -3 is greater in value than -6

another way to write this is

-6 < -3

hope this helped

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Look at image please help I’m struggling only 5 more minutes on this test

Aleonysh [2.5K]

Answer:

.25 dollars

Step-by-step explanation:

divide everything by 4 to get .25

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4 years ago

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How do you simplify 0.1m x <img src="https://tex.z-dn.net/?f=2%5Cpi" id="TexFormula1" title="2\pi" alt="2\pi" align="absmiddle"

sladkih [1.3K]

Answer:

0.2π m

Step-by-step explanation:

Assuming your "x" is a multiplication symbol, form the product of the numerical constants.

= 0.2mπ

If m represents units of meters, it can be placed last:

= 0.2π m

If you want an approximate value, use an appropriate approximation of π.

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3 years ago

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A cylinder has a volume of 200in^3. Determine the volume of a cone whose radius and height are equal to that of the cylinder

katrin [286]

Answer:

66.67 in^3

Step-by-step explanation:

volume of a cylinder = nr^2h

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius

the volume of a cone is 1/3 that of a cylinder

volume of the cone = 1/3 x (200) = 66.67 in^3

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3 years ago

What is the answer for this problem in the picture

DENIUS [597]

<u>Answer:</u>

The correct answer option is $= 8 x ^ 4 y z ^ 4 \sqrt{2yz}$ .

<u>Step-by-step explanation:</u>

We are given the following expression and we are to simplify it and determine whether which of the given expressions is equivalent to it, assuming $y\geq 0$ and $z\geq 0$ :

$\sqrt { 128 x ^ 8 y ^ 3 z ^ 9 }$

Breaking the terms to get:

$\sqrt { 128 x ^ 8 y ^ 3 z ^ 9 }$ $=8\sqrt{2yz} \times x^{8\times\frac{1}{2} } \times y^{2\times \frac{1}{2} } \times z^{8\times \frac{1}{2} }$

$= 8 x ^ 4 y z ^ 4 \sqrt{2yz}$

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3 years ago

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Give the equation of a line that goes through the point ( − 21 , 2 ) and is perpendicular to the line 7 x − 4 y = − 12 . Give yo

nlexa [21]

Given:

Equation of line $7x-4y=-12$ .

To find:

The equation of line that goes through the point ( − 21 , 2 ) and is perpendicular to the given line.

Solution:

The given equation of line can be written as

$7x-4y+12=0$

Slope of line is

$\text{Slope}=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}$

$m_1=-\dfrac{7}{(-4)}$

$m_1=\dfrac{7}{4}$

Product of slopes of two perpendicular lines is -1. So, slope of perpendicular line is

$m_1m_2=-1$

$m_2=-\dfrac{1}{m_1}$

$m_2=-\dfrac{4}{7}$ $[\because m_1=\dfrac{7}{4}]$

Now, the slope of perpendicular line is $m_2=\dfrac{4}{7}$ and it goes through (-21,2). So, the equation of line is

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$y-2=-\dfrac{4}{7}(x-(-21))$

$y-2=-\dfrac{4}{7}x-\dfrac{4}{7}(21)$

$y-2=-\dfrac{4}{7}x-12$

$y=-\dfrac{4}{7}x-12+2$

$y=-\dfrac{4}{7}x-10$

Therefore, the required equation in slope intercept form is $y=-\dfrac{4}{7}x-10$ .

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3 years ago