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Studentka2010 [4]
3 years ago
9

Evaluate the following expression 2^-2

Mathematics
1 answer:
TEA [102]3 years ago
8 0
Hey there
2^-2
1/2*2
1/2^2
1/4
2^-2=1/4
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Which country is a democracy that legally requires its citizens to vote?
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Answer:

Costa Rica

Step-by-step explanation:

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3 years ago
Find the measure of angle ABD ​
alexira [117]

Answer:

120

Step-by-step explanation:

180-50-70=60

180-60=120

6 0
2 years ago
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
1 year ago
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The image point of A after a translation right 4 units and up 3 units is the point
e-lub [12.9K]

Answer:

(--6,-1)

Step-by-step explanation:

Right 4 units, to go back, left 4 units

Up 3 units, to go back, down 3 unites

Left : -2 - 4  = -6

Down : 2 - 3 = -1

4 0
3 years ago
Describe in detail two different real-world situations in which you could use the Pythagorean Theorem.
omeli [17]

Answer:

you can use it in architecture and construction

Step-by-step explanation:

say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle. I hope this helps!

5 0
3 years ago
Read 2 more answers
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