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swat32
2 years ago
6

Find f(343) & f(-64) .

Mathematics
1 answer:
Alexus [3.1K]2 years ago
4 0

f(343) = ?

\sqrt[3]{343}  = 7

7 + 4 = 11

f(-64) = ?

\sqrt[3]{ - 64}  =  - 4

-4 + 4 = 0

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Find the slope of the line that is ​(a) parallel and ​(b) perpendicular to the line through the pair of points.
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Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m=\frac{-1}{4}

Step-by-step explanation:

Step1:-

<u>Slope of a line</u><u> :-</u>

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

<u>Parallel lines:-</u>

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

<u>Perpendicular lines:-</u>

<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

<u>Step 2</u>:-

a)The slope of a line when given two points (-1,-4) and (0,0)

m = \frac{0-(-4)}{0-(-1)} =4

<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel

m_{1} = m_{2}

Therefore the slope of the line that is parallel to the another line

m_{1} =m_{2} =4

<u>Step 3</u>:-

b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

m_{2} = \frac{-1}{m_{1} } \\

m_{2} =\frac{-1}{4}

Therefore the slope of the line is perpendicular to the another line is

m=\frac{-1}{4}

3 0
3 years ago
Read 2 more answers
Which number has the same value as 3 X 1/10?
irakobra [83]
To find the same value as 3 x 1/10 you first have to solve 3 x 1/10

so how to do this is you have to make 3 into a fraction

so to make 3 into a fraction you can put 3 as the numerator and 1 as the denominator

so you multiply
\frac{3}{1}  \times  \frac{1}{10}  =  \frac{3}{10}
so 3/10 has the same value as 3x1/10

HOPE THIS HELPS!!!
5 0
3 years ago
On the diagram, two angles (&lt;1 and &lt;2) formed by the road, and the borders are congruent.
iren [92.7K]

Answer: they share a road lol

Step-by-step explanation:

8 0
3 years ago
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Find the complete factored form of the<br> polynomial:<br> 6xy - 8x2
Ray Of Light [21]

Answer:

2x(3y-4x)

Step-by-step explanation:

6xy - 8x^2

Factor out the greatest common factor of 2x

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3 years ago
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belka [17]

Answer:

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Step-by-step explanation:

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Where

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From the 20 degree angle, the side "opposite" would be the radius, which is 30. The side "adjacent" would be the height, let it be h.

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Tan(20) = opposite/adjacent

Tan(20) = 30/h

h = 30/Tan(20)

h = 13.41

So

The height of the cone would be around 13.41 cm

3 0
3 years ago
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