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2 years ago

2^m•2^n would be the same as___.

Mathematics

2 answers:

stealth61 [152]2 years ago

5 0

Answer:

2^m•2^n would be the same as 4mn.

Step-by-step explanation:

jarptica [38.1K]2 years ago

3 0

${2}^{m + n}$

Step-by-step explanation:

$\huge {2}^{m} . {2}^{n} = {2}^{m + n}$

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I Need help with 10 please

Deffense [45]

Hey so the answer would be B

7 0

3 years ago

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Determine if its possible to form a triangle using the set of segments with the given measurement. explain please! 12 m, 5 m, 18

IRINA_888 [86]

Adding together the shorter two sides results in 17 m. If these two sides were laid end to end, the sum of their sides (17 m) would be less than the length of the third side. Thus, NO triangle could be constructed with this set of line segments.

6 0

3 years ago

Which expressions simplify to a rational answer? Select each correct answer. 29√⋅4√ 3√⋅16−−√ 73⋅−√3√ 5√⋅5√

PolarNik [594]

Answer:

The correct options are 1, 3 and 4.

Step-by-step explanation:

We need to find the expressions whose simplified form is a rational number.

Rational number: If a number is defined in the form of p/q where p and q are integers and q≠0, then it is called a rational number.

For example: 0,2, 4.3 etc.

Irrational number: If a number can not defined in the form of p/q, where p and q are integers and q≠0, then it is called an irrational number.

First expression is

$2\sqrt{9}\cdot \sqrt{4}=2(3)\cdot (2)\Rightarrow 6\cdot 2=12$

12 is a rational number.

Second expression is

$\sqrt{3}\cdot \sqrt{16}=\sqrt{3}\cdot 4\Rightarrow 4\sqrt{3}$

$4\sqrt{3}$ is an irrational number.

Third expression is

$7\sqrt{3}\cdot \sqrt{3}\Rightarrow 7\cdot 3=21$

21 is a rational number.

Fourth expression is

$\sqrt{5}\cdot \sqrt{5}=5$

5 is a rational number.

Therefore, the correct options are 1, 3 and 4.

4 0

3 years ago

What is the y-coordinate of the point that divides the

natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are $(x_1,y_1)$ and $(x_2,y_2)$ , then the coordinates of that point are

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

$(\frac{(5)(7)+(1)(1)}{5+1},\frac{(5)(2)+(1)(-10)}{5+1})$

$(\frac{35+1}{6},\frac{10-10}{6})$

$(\frac{36}{6},\frac{0}{6})$

$(6,0)$

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

8 0

3 years ago

Read 2 more answers

Choose the congruence theorem that you would use to prove the triangles congruent.

Elena L [17]

Answer:

SAS

Explanation:

Before solving the problem, let's define each of the given theorems:

1- SSS (side-side-side): This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

2- SAS (side-angle-side): This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

3- ASA (angle-side-angle): This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

4- AAS (angle-angle-side): This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

Now, let's check the given triangles:

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by SAS theorem

Hope this helps :)

5 0

3 years ago

Read 2 more answers

2^m•2^n would be the same as___.​

2^m•2^n would be the same as___.