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Alecsey [184]
3 years ago
14

Divide 24xy²z³ by 6yz²​

Mathematics
1 answer:
liberstina [14]3 years ago
3 0

Answer: 4xyz

Step-by-step explanation:

24xy²z³ / 6yz² =4xy²⁻¹z³⁻² = 4xyz

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4. A triangle with base (2x+2) and height (x-2) is cut out of a rectangular sheet of paper that is (3x+4) by (2x+3) what is the
juin [17]
So what we do is
area that remains=total area-triangle area that was cut out


we need to find 2 things
total area
triangle area

total area=rectange=base times height
area=(3x+4) times (2x+3)
FOIL or distribute
6x^2+8x+9x+12=6x^2+17x+12

triangle area=1/2 times base times height
triangle area=1/2 times (2x+2) times (x-2)=
(x+2) times (x-2)=x^2+2x-2x-4=x^2-4


so
total area=6x^2+17x+12
triangle area=x^2-4

subtract
area that remains=total area-triangle area that was cut out
area that remains=6x^2+17x+12-(x^2-4)=
6x^2+17x+12-x^2+4=
6x^2-x^2+17x+12+4=
5x^2+17x+16


area that remains is 5x^2+17x+16

5 0
2 years ago
Circle O, with center (x, y) passes through the points A(0, 0), B(-3, 0), and C(1, 2). Find the coordinates of the center of the
KonstantinChe [14]

Answer:

The center of the circle is

(-\frac{3}{2},2)

Step-by-step explanation:

Let the equation of the circle be

x^2+y^2+2ax+2by+c=0, where (-a,-b) is the center of this circle.

The points lying the circle must satisfy the equation of this circle.

A(0,0)

We substitute this point to get;

0^2+0^2+2a(0)+2b(0)+c=0

\implies c=0

B(-3,0)

(-3)^2+0^2+2a(-3)+2b(0)+c=0

\implies 9+0-6a+0+c=0

\implies -6a+c=-9

But c=0

\implies -6a=-9

\implies a=\frac{3}{2}

C(1,2)

1^2+2^2+2a(1)+2b(2)+c=0

1+4+2a+4b+c=0

2a+4b+c=-5

Put the value of 'a' and 'c' to find 'b'

2(\frac{3}{2})+4b+0=-5

3+4b+0=-5

4b=-5-3

4b=-8

b=-2

Hence the center of the circle is

(-\frac{3}{2},2)

8 0
3 years ago
Phthagorean therom: <br> Explain and Solve following questions
marishachu [46]

Answer:

a squared plus b squared = c squared

Step-by-step explanation:

a) 100

b) 153

Honestly I'm just guessing i'm only in algebra 1 and even if i wasn't I suck at geometry

5 0
2 years ago
Read 2 more answers
7+<br> 2-<br> 3+<br> 3-<br> -<br> 7+<br> 1-<br> 4
saveliy_v [14]

Answer:-15

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Alonzo works as a car detailer. He charges $165 per car. He is planning to move out of his parents' house and rent his first apa
weqwewe [10]

Answer:

2 cars

Step-by-step explanation:

105 + 895 + 1120 = 2120

He has to pay 2120 of downpayment

2120 - 1919 = 201

Subtract what he already has

He needs 201 more dollars to rent his first apartment

He needs to do 1.21818182 cars...

You cant do 1/5 of a car so he has to do 2 cars

4 0
3 years ago
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