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iren2701 [21]
3 years ago
10

Is -81.43 rational or irrational? If it is rational, write the number as a ratio of two integers.

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

This is rational. It -81.43:-94.52 expressed. -81.45/94.52

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Write and equati9n of a l8ne that passes through (1,-2) and is perpendicular to -4x+7y=21
yarga [219]

Given:

A line passes through (1,-2) and is perpendicular to -4x+7y=21.

To find:

The equation of that line.

Solution:

We have, equation of perpendicular line.

-4x+7y=21

Slope of this line is

m_1=-\dfrac{\text{Coefficient of x}}{\text{Coefficient of y}}

m_1=-\dfrac{-4}{7}

m_1=\dfrac{4}{7}

Product of slope of two perpendicular lines is -1.

m_1\times m_2=-1

\dfrac{4}{7}\times m_2=-1

m_2=-\dfrac{7}{4}

Now, slope of required line is -\dfrac{7}{4} and it passes through (1,-2). So, the equation of line is

y-y_1=m(x-x_1)

where, m is slope.

y-(-2)=-\dfrac{7}{4}(x-1)

4(y+2)=-7(x-1)

4y+8=-7x+7

4y+7x=7-8

7x+4y=-1

Therefore, the equation of required line is 7x+4y=-1.

7 0
2 years ago
in a proportional relationship the ratio y/x is constant. Show that this ratio is not constant for the equation y=a-14
Colt1911 [192]

To show that the ratio \frac{y}{x} is not constant for the function y=a-14 we only need to evaluate this function at 2 points and then show that the ratio is not the same for those two points. Note that here a represents x.  

To find the counter examples here, I will use the values a=20  and a=28. For a = 20 , the equation tells us that the output is

y=20-14=6. For this value of a the point is point is (20,6). The ratio \frac{y}{x} =\frac{6}{20}. For the a=28, y=28-14=14. For this value of a the  point is (28,14) . The ratio \frac{y}{x} =\frac{14}{28} =\frac{1}{2}. Clearly this ratio is not constant for all ordered pairs.

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3 years ago
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IrinaK [193]
C= 15 + 2h
2h reprents the totals of hours times the 2 dollar hour use.
the 15 is added because its the deposit fee
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3 years ago
What is 1+12 just to get free brainliest​
tino4ka555 [31]

Answer:

1+12

Step-by-step explanation:

can be expressed as

1+12

=13

5 0
2 years ago
Read 2 more answers
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Reptile [31]
Rachel fills 13 water bottles per hour, so she contributes 13R.  Alyssa fills 15 bottles an hour, so she contributes 15A, plus 5 for the additional water bottles filled.  Thus, the full expression is:

13R+15A+5
3 0
3 years ago
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