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3 years ago

What is the answer to this question; 4/5+4/5+3/4+3/4=

Mathematics

1 answer:

Mumz [18]3 years ago

3 0

4/5+4/5+3/4+3/4=

2×4/5+2×3/4=

8/5+3/2=

(2×8+5×3)/10=

(16+15)/10=

31/10

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Factor completely x^4-17x^2+16

Snowcat [4.5K]

Answer:

(x - 1) (x + 1) (x - 4) (x + 4)

Step-by-step explanation:

actor the following:

x^4 - 17 x^2 + 16

x^4 - 17 x^2 + 16 = (x^2)^2 - 17 x^2 + 16:

(x^2)^2 - 17 x^2 + 16

The factors of 16 that sum to -17 are -1 and -16. So, (x^2)^2 - 17 x^2 + 16 = (x^2 - 1) (x^2 - 16):

(x^2 - 1) (x^2 - 16)

x^2 - 16 = x^2 - 4^2:

(x^2 - 1) (x^2 - 4^2)

Factor the difference of two squares. x^2 - 4^2 = (x - 4) (x + 4):

(x - 4) (x + 4) (x^2 - 1)

x^2 - 1 = x^2 - 1^2:

(x^2 - 1^2) (x - 4) (x + 4)

Factor the difference of two squares. x^2 - 1^2 = (x - 1) (x + 1):

Answer: (x - 1) (x + 1) (x - 4) (x + 4)

4 0

3 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 45 degrees at midnig

Nady [450]

Answer:

$D = 45+19*sin(\frac{\pi}{12}*t)$

Step-by-step explanation:

The amplitude (A) and the mean (M) temperature are given by:

$A=\frac{64-26}{2}\\ A= 19\\M=\frac{64+26}{2}\\ M= 45\\$

The mean temperature, 45 degrees. occurs at midnight (t=0) and the frequency is f=24h. Therefore, the temperature D, in degrees, as a function of t, in hours, is:

$D = M+A*sin(\frac{2\pi}{24}*t)\\D = 45+19*sin(\frac{\pi}{12}*t)$

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3 years ago

Which of the following is the best definition of vertical angles?

Lilit [14]

Step-by-step explanation:

Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.

I'd say it's the 3rd option:

"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."

but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.

8 0

2 years ago

Solve the system of linear equations<br><br> x + y = 4 and 2x + 3y = 0

forsale [732]

solve this answer by using substitution. set the first equation to x=-y+4 then substitute -y+4 for x in the second equation.

2(-y+4) + 3y=0

-2y+8 + 3y=0

y+8=0

y=-8

now use -8 and solve for x

x+(-8)=4

x=12

8 0

3 years ago

#33 please. Show work. Thanks in advanced.

Alex Ar [27]

A. 12% discount, or, $7.44 discount

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2 years ago