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3 years ago

Law of indices question

Mathematics

1 answer:

xenn [34]3 years ago

3 0

The first law: multiplication

The second law: division

The third law: brackets

Negative powers

Power of zero

Fractional powers

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Find all possible values of x if these represent side of a triangle 2x,5-x,4

3241004551 [841]

Answer:

-1/3 < x < 3 or x = (-1/3, 3)

Step-by-step explanation:

Given sides of a triangle:

2x, 5 - x, 4

Triangle inequality theorem:

Any side is smaller than the some of the other two.

Apply to the given triangle:

2x + 5 - x > 4 ⇒ x > -1
2x + 4 > 5 - x ⇒ 3x > -1 ⇒ x > -1/3
5 - x + 4 > 2x ⇒ 3x < 9 ⇒ x < 3

Combine all the inequalities:

-1/3 < x < 3
x = (-1/3, 3)

7 0

2 years ago

Claire has 5 3/4 cups of dough to make dumplings. If she uses 2/3 cup of dough for each dumpling, how many whole dumplings can

mars1129 [50]

Answer:

She can make 8 whole dumplings.

Step-by-step explanation:

Divide 5 $\frac{3}{4}$ by $\frac{2}{3}$ .

4 0

2 years ago

Solve for the area (A) of a rectangle if the length (l) is 4x and the width (W) is 5x*. Remember Area = length x width

Harrizon [31]

Answer:

If area = length * width that means the answer is 4x * 5x = 20x².

8 0

3 years ago

Help on this question please. What is the perimeter of ABC?

mestny [16]

Answer:

Step-by-step explanation

5x2=10

3x2=6

2x2=4

the answer would be 20

8 0

3 years ago

Read 2 more answers

Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.

Alexandra [31]

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

$P=1-(1-p)^{n}$

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

$P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177$

8 0

3 years ago

Law of indices question​

Law of indices question