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3 years ago

Write the product using exponents:

Mathematics

1 answer:

algol133 years ago

7 0

Answer:

Step-by-step explanation:

$( - 6) \ast( - 6) = {( - 6)}^{1 + 1} = {( - 6)}^{2} = 36$

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Are the two lines parallel, perpendicular, or neither? Explain your answer. Show work needed to answer the question.

tatuchka [14]

Answer:

The lines are perpendicular

Step-by-step explanation:

The correct question is

Are the two lines parallel, perpendicular, or neither? Explain your answer

3x + 7y = 15

7x − 3y = 6

we know that

If two lines are parallel, then their slopes are equal

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

Remember that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where m is the slope

b is the y-intercept

we have

$3x + 7y = 15$ ----> equation A

isolate the variable y and convert the equation in slope intercept form

$y=\frac{15-3x}{7}$

$y=\frac{15}{7}-\frac{3}{7}x$

The slope of the line A is $m_A=-\frac{3}{7}$

$7x-3y = 6$ ---> equation B

isolate the variable y and convert the equation in slope intercept form

$y=\frac{7x-6}{3}$

$y=\frac{7}{3}x-2$

The slope of the line B is $m_B=\frac{7}{3}$

Compare the slopes

$m_A\neq m_B$ ---> the lines are not parallel

$m_A* m_B=(-\frac{3}{7})*(\frac{7}{3})=-1$

The slopes are opposite reciprocal

therefore

The lines are perpendicular

8 0

3 years ago

Which value of p makes the equation 18+ 2 (3p – 8) = –37 true?

Volgvan

Answer:

p = -6.5

Step-by-step explanation:

Given:

18+ 2 (3p – 8) = –37

Solving for p:

18+ 2 (3p – 8) = –37
18 + 6p - 16 = -37
6p + 2 = -37
6p = -37 - 2
6p = -39
p = -39/6
p = -6.5

Option 2 is correct in the list

3 0

3 years ago

In 10 minutes a heart rate can be 700 times at this rate how many to minutes will a heartbeat 140 times at what rate can a heart

VashaNatasha [74]

700/10=70
140/70=2
A heart beats 70 beats a minute
It takes 2 min to beat 140 times

8 0

3 years ago

Meaning of the x and y intercept what they represent

disa [49]

The x-intercept is the x-coordinate of a point where a graph intersects the x-axis and the y-intercept is the y-coordinate of a point where a graph intersects the y-axis. For example, (-4,0) -4 is the x-intercept and (0,6) 6 is the y-intercept

3 0

3 years ago

Which of the following correctly uses absolute value to show the distance between –80 and 15?

shusha [124]

95 because 80 +15 = 95

7 0

3 years ago

Read 2 more answers