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3 years ago

Which expression is equivalent to 25^1/3*25^1/6?

1 answer:

4 0

$25^{ \frac{1}{3}} \times 25^{ \frac{1}{6} }$

$= 25^{ \frac{1}{3}+ \frac{1}{6} }$

$= 25^{ \frac{1}{2}}$

$= (5^2)^{ \frac{1}{2}}$

$=5$

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Answer: 5 (Answer B)
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The shape below is constructed from six squares, and the lengths of the sides of the three smallest squares are written inside o

Maurinko [17]

Answer:

Step-by-step explanation:

Smallest square: 1

Small Square: 2, Area of 4

Mid Square: 3, Area of 9

Mid White Square: 5, Area of 25

Big Square: 8, Area of 64

1 + 4 + 9 + 64 = 78

5 0

3 years ago

Line g passes through points (5, 9) and (3, 2). Line h passes through points (9, 10) and (2, 12). Are line g and line h parallel

icang [17]

For this case we find the slopes of each of the lines:

The g line passes through the following points:

$(x_ {1}, y_ {1}) :( 3,2)\\(x_ {2}, y_ {2}) :( 5,9)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {9-2} {5-3} = \frac {7} {2}$

Line h passes through the following points:

$(x_ {1}, y_ {1}) :( 9,10)\\(x_ {2}, y_ {2}) :( 2,12)$

So, the slope is:

$m = \frac {y_ {2} -y_ {1}}{x_ {2} -x_ {1}} = \frac {12-10} {2-9} = \frac {2} {- 7} = - \frac {2} {7}$

By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.

It is observed that lines g and h are not parallel. We verify if they are perpendicular:

$\frac {7} {2} * - \frac {2} {7} = \frac {-14} {14} = - 1$

Thus, the lines are perpendicular.

Answer:

The lines are perpendicular.

8 0

3 years ago

A triangle has two sides of length 12 and 13. What is the largest possible whole-number length for the third side?

Natali [406]

Answer:

the 2 side of u have to subtract the numbers then add the numbers

Step-by-step explanation:

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3 years ago

What is the slope and y-intercept in the equation y = 5x - 7?

grin007 [14]

Answer:

Slope: 5

y-intercept: -7

Step-by-step explanation:

Slope-intercept form is written as ' $y=mx+b$ ', $(x,y)$ being any point on the line, $m$ its slope, and $b$ the line's y-intercept.

$y=mx+b$

$y=5x-7$

In this equation, $m=5$ , and $b=-7$ .

3 0

3 years ago

Read 2 more answers

Identify the angle relationship, then solve for x*

goblinko [34]

Answer:

14°

Step-by-step explanation:

(7x-1)°+(6x-1)°=180°(sum of angles in a straight line/being linear pair)

or,7x-1°+6x-1°=180°

or,13x-2°=180°

or,13x=182°

or,x=182°/13

or,x=14°

3 0

4 years ago