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andreyandreev [35.5K]
3 years ago
8

Factor the numerator and denominator and then reduce the fraction:

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0

\boxed{\frac{2xy-3y}{x}}

<h2>Explanation:</h2>

Here we have the following expression:

\frac{16xyz-24zy}{8xz} \\ \\ \\ Prime \ factorization: \\ \\ 16=2^4 \\ \\ 24=2^3\cdot 3 \\ \\ 8=2^3

So we can rewrite this as follows:

\frac{2^4xyz-2^3\cdot 3zy}{2^3xz} \\ \\ \\ Common \ factor \ 2^3z \ in \ the \ numerator: \frac{2^3z(2xy-3y)}{2^3xz} \\ \\ \\ Commutative \ property \ in \ the \ denominator: \\ \\ \frac{2^3z(2xy-3y)}{2^3zx} \\ \\ \\ Simplyfing: \\ \\ \boxed{\frac{2xy-3y}{x}}

<h2>Learn more:</h2>

Simplify: brainly.com/question/10644722

#LearnWithBrainly

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How do u do this question?
goldenfox [79]

A --------¢ D

B --------¢ E

C --------¢ F

Just match like this buddy.

6 0
3 years ago
In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π3 radians. What is the length of the arc?
madreJ [45]
The correct question is 
<span>In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc? 

we know that
in a circle
</span>2π radians -----------------> lenght of (2*π*r)
2π/3 radians--------------> X
X=[(2π/3)*(2π*r)]/[2π]=(2π/3)*r

 the lenght  of the arc=(2π/3)*3=2π ft

the answer is 2π ft




5 0
3 years ago
Read 2 more answers
8-5c=-37 help please :)
ladessa [460]

Answer:

c=9

Step-by-step explanation

8-5c=-37

-37-8= -5c

-45= -5c

-45/-5=c

c=9

6 0
3 years ago
Read 2 more answers
Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




4 0
3 years ago
You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600? Use the formula
vazorg [7]
4 years is the answer 
8 0
3 years ago
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