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Alexus [3.1K]
3 years ago
6

What do the following two equations represent?

Mathematics
1 answer:
cricket20 [7]3 years ago
6 0

Answer:

C. Perpendicular lines

Step-by-step explanation:

The given system is:

-2x+4y=5

-12x-6y=1

We need to rewrite both lines in slope-intercept form.

4y=2x+5

6y=-12x-1

This implies:

y=\frac{2}{4}x+\frac{5}{4}

y=-\frac{12}{6}x-\frac{1}{6}

Simplify:

y=\frac{1}{2}x+\frac{5}{4}

y=-2x-\frac{1}{6}

The slope of the first line is the negative reciprocal of the slope of the second line.

The two lines are perpendicular

The third option is correct

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Please help me out with this so I can keep my kitten.
notka56 [123]

Answer:

y = \frac{32}{3}

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

\frac{y}{8} = \frac{7}{12}  + \frac{3}{4}

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

\frac{3*3}{4*3} = \frac{9}{12}

Now add this to the other fraction:

\frac{9}{12} + \frac{7}{12} = \frac{16}{12}

This can be simplified down by dividing both the numerator and denominator by 4:

\frac{4}{3}

Which now simplifies the original equation to:

\frac{y}{8}  = \frac{4}{3}

Remove the y out of the fraction:

\frac{1}{8}y = \frac{4}{3}

Now multiply both sides by 8:

(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8

y = \frac{4*8}{3}

y = \frac{32}{3}

Hope this helps!

5 0
3 years ago
Read 2 more answers
!TWELVE POINTS + BRAINLIEST ANSWER! Write the equation for an ellipse with y intercepts (0,-3) and (0, 3) and major axis of leng
Mandarinka [93]

Answer:

x²/25 + y²/9 = 1  or 9x² + 25y² = 225

Step-by-step explanation:

We have two points which is y intercepts (0,-3) and (0,3).

We know that the major axis is 2a and secondary axis is 2b

These two points are vertical top of the ellipse which they give us value of half secondary axis  b = 3

The length of major axis is 2a = 10 => a = 10/2 = 5 => a = 5

The equation of the ellipse is:

x²/a² + y²/b² = 1  or b²x² + a²y² = a²b²

When we replace value of a and b we get:

x²/5² + y²/3² = 1  or 3²x² + 5²y² = 5² · 3²    and finally

x²/25 + y²/9 = 1  or 9x² + 25y² = 225

God with you!!!

8 0
4 years ago
For a random sample of Harvard University psychology majors, the responses on political ideology had a mean of 3.18 and standard
Nutka1998 [239]

Answer:

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

Step-by-step explanation:

From the question we are told that

Sample mean \=x_1=3.18

Standard deviation \delta_! =1.72

Sample size n_1 =51

Sample mean \=x_2=2.22

Standard deviation \delta_2 =0.67

Sample size n_2=20

Generally this is a two tailed test

therefore

   Null hypothesis  = h_0 :P_v_e_g= P_n_o_n_v_e_g

  Alternative hypothesis H_a : P_v_e_g \neq  P_n_o_n_v_e_g

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

6 0
3 years ago
How much space do all three of the soccer balls take up ?
Assoli18 [71]

Answer: 2713 cubic centimeter

Step-by-step explanation:

3 0
3 years ago
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Chen completed the division problem below. 0.9 StartLongDivisionSymbol 192.6 EndLongDivisionSymbol right arrow 9 StartLongDivisi
tatuchka [14]

Answer:

He should have multiplied both numbers by 100

Step-by-step explanation:

Given

See Attachment for given

Required

What's Chen error

Chen error is at step 2 where he changed 0.9 to 9.

Any changes made on the divisor must also be made on the dividend

He got 9 by multiplying 0.9 by 10;

So, his mistake is that he should have multiplied both numbers by the same number.

From the list of given options, the option that best answer this question is He should have multiplied both numbers by 100

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3 years ago
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