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Alex73 [517]
3 years ago
5

Which of the following orderd pairs is a solution of x + 1/2 y = 1​

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

Answer:

(-2,6)

Step-by-step explanation:

For an ordered pair (x,y) to be a solution to the equation given, we have to plug in x-coordinate in "x" and y-coordinate in "y" of the following equation and see if it is "1".

Whichever makes it true, is the correct answer.

Checking:

x+\frac{1}{2}y\\=(-2)+\frac{1}{2}(6)\\=-2+3\\=1

This is right.

We don't need to check the other two, the first one is the right option.

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Can anyone simplify this??
Natali5045456 [20]

Answer:

3^{12}

Step-by-step explanation:

(3^{5})^{2}

You multiply the exponents to get:

3^{10}

Then you divide it by 3^{-2}

When dividing exponents, you subtract.

10 - - 2 = 12 so the exponent is 12.

That leaves us with:

3^{12}

5 0
3 years ago
Factor -24a3b3c3 - 84a4b2c.
sammy [17]

Answer:

-12a³b²c ( 2bc² + 7a)

Step-by-step explanation:

To factorize, we must separate the highest common factors between the products that make up the given expression. To get the highest common factor between the two products,

-24a3b3c3 = -2 * 2 *2 * 3 * a³ *b² *b * c² * c

- 84a4b2c = -2 * 2 *3 * 7 * a³ * a *b² * c

The common elements are  -2, 2, 3, a³, b², c

The product of the common elements

= -12a³b²c

Hence, factorizing

-24a3b3c3 - 84a4b2c = -12a³b²c ( 2bc² + 7a)

4 0
3 years ago
Read 2 more answers
What is 1/2 of 22 and 2/3 of 16
Sholpan [36]
1/2 of 22:
1/2 · 22 = 22/2 = 11

2/3 of 16
2/3 · 16 = 32/3 = 10 2/3
6 0
3 years ago
#1). Yasmine plans to attend a four-year public university. She expects she will need to contribute $9,000 annually to her educa
Nina [5.8K]
The answer to #1 is D.

The answers to #2 is B,C,D,F.. I'm not sure what the remainder of G says..
3 0
3 years ago
Read 2 more answers
10 POINTS! PLEASE HELP!! The illustration shows a compact disc tray that holds five CDs. The radius of each compact disc is 9 cm
MariettaO [177]

We can see that there are 5 CDs, each of radius 9 cm

<u>Area occupied by 1 disc:</u>

Area of a circle = πr²

Area of disc = π(9)²

Area of disc = 3.14 * 81 = 254 cm²

<u>Area occupied by 5 discs:</u>

Area occupied by 5 discs = Area occupied by 1 disc * 5

Area occupied by 5 discs = 254 * 5

Area occupied by 5 discs = 1270 cm²

3 0
2 years ago
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