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3 years ago

What is the value of 2x^-2y^-2 for x = 3 and y = 2? a) 1/18 b) 72 c) 2(-6)^-4 d) 1/648

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

2x^-2y^-2 = 2/x^2y^2 = 2/(2)^2 x (3)2 = 2/4 x 9 = 2/36 = 1/18

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Which expression is equivalent to the expression shown below?

posledela

The correct answer is: [D]: " (-5 $\frac{1}{4}$ )x − $\frac{1}{2}$ " .
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Explanation:
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" -1/2(-3/2x + 6x + 1) − 3x " ;

= (-1/2 * -3/2 x) + (-1/2 * 6x) + (-1/2 * 1) − 3x ;

= [ (-1 *-3) /(2*2)] x + (-3x) + (-1/2) ] − 3x ;

= [ (3/4)x − 3x − (1/2) ] − 3x ;

= (3/4)x − 3x − (1/2) − 3x ;

= ?? ; → Combine the "like terms" ;

→ "(3/4)x − 3x − 3x " = ?? ;

→ "(3/4)x − 3x = "(-9/4)x";

→ "(-9/4)x − 3x = "(-21/4)x " = " (-5 $\frac{1}{4}$ )x " ;

→ The answer is: " (-5 $\frac{1}{4}$ )x − $\frac{1}{2}$ " ;
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→ which is:
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→ Answer choice: [D]: " (-5 $\frac{1}{4}$ )x − $\frac{1}{2}$ " .
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6 0

3 years ago

A triangle has sides which are consecutive odd integers and an

wolverine [178]

Answer:

Perimeter = 15

Step-by-step explanation:

We are told that the length of each of the 3 sides of the triangle are consecutive odd integers.

Thus means that we can write the 3 terms as;

(x - 2), x, (x + 2)

Thus, perimeter is;

P = (x - 2) + x + (x + 2)

P = 3x

If an angle is 120°, it means that the corresponding side that is directly opposite the angle is the largest side of the triangle.

Thus, this side is (x + 2)

Using cosine rule, we have;

(x + 2)² = x² + (x - 2)² - 2(x(x - 2))cos 120

Expanding, we have;

x² + 4x + 4 = x² + x² - 4x + 4 - (2x² + 4x)(-½)

This reduces to;

4x = x² - 4x + x² - 2x

2x² = 10x

2x = 10

x = 10/2

x = 5

Thus, other sides are;

(x - 2) = 5 - 2 = 3

And (x + 2) = 5 + 2 = 7

So,perimeter is;

P = 3x = 3 × 5 = 15

8 0

3 years ago

Anybody know this? or the guide to this??

Stells [14]

Answer:

the length of missing side is 28

5 0

3 years ago

Read 2 more answers

Twelve pounds of beans are distributed equally into 8 bags to give out at the food bank.

siniylev [52]

Answer:

1 1/2 or 1.5

Step-by-step explanation:

12 divided by 8

brainliest?

4 0

3 years ago

Can some one please help me figure out how to calculate this styrofoam...

schepotkina [342]

You must find the area of the circle

A = π r^2

The radius is half of the diameter, so divide 26 by 2. This equates to 13

A = π • 13^2

Multiply 13 times 13 (13^2) and it equals 169.

A = π • 169

A= 530.93

The answer is 530.93

5 0

3 years ago