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2 years ago

14

Which shows the following expression after the negative exponents have been eliminated?

1 answer:

Sati [7]2 years ago

6 0

B. Negative exponent flip from denominator to numerator and numerator to denominator.
B is the second option.

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I need your help please!

Aneli [31]

Answer:

1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile.

Step-by-step explanation:

Given that the scale of the map is $\frac{3}{10}$ inches = $\frac{7}{8}$ miles ....... (1)

Now, we have to convert this map scale to a unit rate.

And the unit rate is the number of inches per mile.

As the scale is constant, therefore from the the relation (1) we get

1 mile = $\frac{3 \times 8}{10 \times 7} = 0.3428$ inches.

Therefore, 1 mile is mapped to 0.3428 inches i.e. unit rate is 0.3428 inches/mile. (Answer)

5 0

3 years ago

Does anyone know this? Please help! ASAP!!!

Fudgin [204]

The answers:
a=4
b=5
c=6
d=1

8 0

2 years ago

Read 2 more answers

Lines k and n intersect on the y-axis

avanturin [10]

a) The equation of line k is:

$y = -\frac{202}{167}x + \frac{598}{167}$

b) The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

The equation of a line, in <u>slope-intercept formula</u>, is given by:

$y = mx + b$

In which:

m is the slope, which is the rate of change.
b is the y-intercept, which is the value of y when x = 0.

Item a:

Line k intersects line m with an angle of 109º, thus:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

In which $m_1$ and $m_2$ are the slopes of <u>k and m.</u>

Line k goes through points (-3,-1) and (5,2), thus, it's slope is:

$m_1 = \frac{2 - (-1)}{5 - (-3)} = \frac{3}{8}$

The tangent of 109 degrees is $\tan{109^{\circ}} = -\frac{29}{10}$
Thus, the slope of line m is found solving the following equation:

$\tan{109^{\circ}} = \frac{m_2 - m_1}{1 + m_1m_2}$

$-\frac{29}{10} = \frac{m_2 - \frac{3}{8}}{1 + \frac{3}{8}m_2}$

$m_2 - \frac{3}{8} = -\frac{29}{10} - \frac{87}{80}m_2$

$m_2 + \frac{87}{80}m_2 = -\frac{29}{10} + \frac{3}{8}$

$\frac{167m_2}{80} = \frac{-202}{80}$

$m_2 = -\frac{202}{167}$

Thus:

$y = -\frac{202}{167}x + b$

It goes through point (-2,6), that is, when $x = -2, y = 6$ , and this is used to find b.

$y = -\frac{202}{167}x + b$

$6 = -\frac{202}{167}(-2) + b$

$b = 6 - \frac{404}{167}$

$b = \frac{6(167)-404}{167}$

$b = \frac{598}{167}$

Thus. the equation of line k, in slope-intercept formula, is:

$y = -\frac{202}{167}x + \frac{598}{167}$

Item b:

Lines j and k intersect at an angle of 90º, thus they are perpendicular, which means that the multiplication of their slopes is -1.

Thus, the slope of line j is:

$-\frac{202}{167}m = -1$

$m = \frac{167}{202}$

Then

$y = \frac{167}{202}x + b$

Also goes through point (-2,6), thus:

$6 = \frac{167}{202}(-2) + b$

$b = \frac{(2)167 + 202(6)}{202}$

$b = \frac{1546}{202}$

The equation of line j is:

$y = \frac{167}{202}x + \frac{1546}{202}$

A similar problem is given at brainly.com/question/16302622

7 0

2 years ago

Five decreased by twice a number is same as five less than<br> three times the number.

sergejj [24]

Answer: If you are suppose to write an algebraic expression it is: 5 - 2x = 3x - 5
If you are suppose to solve the answer is:
5-2x=3x-5
-2x=3x-10
-5x=-10
x=2

8 0

2 years ago

It is 7 km from Kerry's house to the mall. About what is that distance in miles?

gavmur [86]

1 km = 0.62137... mile (rounded)

7 km = 4.3296... miles (rounded)

7 0

2 years ago

Read 2 more answers