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3 years ago

If the factors of a polynomial are x + 8 and x + 4, what values of x make that polynomial 0?

Mathematics

2 answers:

spin [16.1K]3 years ago

4 0

-8 and -4

C is answer

ANTONII [103]3 years ago

3 0

Given the factors, the polynomial can be expressed as,
(x + 8)(x + 4) = 0
The factors may be individually taken account,
x + 8 = 0 ; x = -8
x + 4 = 0 ; x = -4
Thus, the values of x are -8 and -4. The answer is letter C.

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Find the longitude and latitude for the points on the globe with angular coordinates ( θ , ϕ ) = ( π 4 , 11 π 12 ) (θ,ϕ)=(π4,11π

DedPeter [7]

Answer:

For (45,165.02) Latitude and longitude is (45 0' 0",165 1' 12")

Hence latitude and longitude are 4 degrees 35' 59.94" and 2 degrees 47' 59.994 "

Step-by-step explanation:

Given:

The angular coordinates of the point on globe as (θ,∅)=(π/4,11π/12)

To find : longitude and latitude for this points:

Solution:

For finding this Longitude and latitude we should convert it into decimal degrees

Given that 1rad =57.295 deg.

we get for

θ=π/4

=3.142/4

=0.7855 *57.295

=45 degrees.

Now for φ=11π/12

=(11*3.142)/12=2.8801*57.295

=165.02 degrees

Now convert in longitude and latitude as ,

as degrees +min/60+seconds/3600

Now latitude =45 degrees

i.e. 45 degrees 0' 0"

And longitude as

165.02 degrees becomes

165 degrees 1' 12".

Hence For the angular co-ordinates (45,165.02)

Longitude and latitude is (45 0' 0",165 1' 12")

Now for the (4.6, 2.8)

we get using same

degrees+min/60+seconds/3600

=4 degrees 35' 59.94"

And for 2.8 means, (similar to clock analog )

=2 degrees 47' 59.94"

Hence latitude and longitude are 4 degrees 35' 59.94" and 2 degrees 47' 59.994 "

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4 years ago

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Step-by-step explanation:

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3 years ago

A guy wire for a suspension bridge runs from the ground diagonally to the top of the closest pylon to make a triangle. We can us

PolarNik [594]

Answer:

The guy wire lenght is 500 ft.

Step-by-step explanation:

The Pythagorean Theorem says the sum of the squares two adyacent sides is equal to the square of the opposite side.

Applied in this example, we can rephrase it as:

The sum of the square of the pylon height with the square of the distance from the guy wire tip to the pylon is Equal to the square of the Guy wire lenght.

So:

$PylonHeight^{2} + floordistance^{2} = GuyWireLength^{2} \\160.000 + 90.000 = GuyWireLength^{2} \\\\\sqrt{160.000 + 90.000} =GuyWireLength\\GuyWireLength= 500 ft$

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4 years ago