1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrews [41]
2 years ago
13

10. Which is the equation of a line that is perpendicular to the line represented by y=3/4x-1/2

Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
7 0
Y = -4/3x -1/2 , perpendicular slopes are opposite reciprocals
You might be interested in
Estimate the sum or difference.
dangina [55]

1) \frac{4}{6}+\frac{1}{8}=\frac{19}{24}

2) \frac{2}{6}+\frac{7}{8}=\frac{29}{24}

3) \frac{5}{6}-\frac{3}{8}=\frac{11}{24}

4) \frac{4}{6}+\frac{3}{8}=\frac{25}{24}

5) \frac{7}{8}-\frac{5}{6}=\frac{1}{24}

6) \frac{1}{6}+\frac{7}{8}=\frac{25}{24}

Step-by-step explanation:

In order to calculate the sum of two fractions, we first have to find the lowest common denominator of the two fractions, then multiply the numerator of each fraction by the ratio between the lowest common denominator and the original denominator, and then add/subtract the two new numerators.

1)

\frac{4}{6}+\frac{1}{8}=

Here the lowest common denominator between 6 and 8 is 24,

So we have to rewrite each fraction as having denominator 24: this means that we have to multiply both numerator and denominator of the 1st fraction by 4 (because 24/6=4), and both numerator and denominator of the 2nd fraction by 3 (because 24/8=3).

So the new numerators of the two fractions are:

4\cdot 4 = 16\\1\cdot 3 = 3

The expression then becomes:

\frac{4}{6}+\frac{1}{8}=\frac{16}{24}+\frac{3}{24}=\frac{16+3}{24}=\frac{19}{24}

2)

\frac{2}{6}+\frac{7}{8}=

Here the lowest common denominator between 6 and 8 is again 24,

so we have again to multiply both numerator and denominator of the 1st fraction by 4, and both numerator and denominator of the 2nd fraction by 3.  

So the new numerators of the two fractions are:

2\cdot 4 = 8\\7\cdot 3 = 21

And we get:

\frac{2}{6}+\frac{7}{8}=\frac{8}{24}+\frac{21}{24}=\frac{8+21}{24}=\frac{29}{24}

3)

\frac{5}{6}-\frac{3}{8}

The denominators are the same, so the lowest common denominator is always 24. So we can adopt the same procedure, and new numerators are:

5\cdot 4 = 20\\3\cdot 3 = 9

And so:

\frac{5}{6}-\frac{3}{8}=\frac{20}{24}-\frac{9}{24}=\frac{20-9}{24}=\frac{11}{24}

4)

\frac{4}{6}+\frac{3}{8}=

Using the same lowest common denominator, 24, the new numerators are:

4\cdot 4 = 16\\3\cdot 3 = 9

And so we can rewrite the expression as

\frac{4}{6}+\frac{3}{8}=\frac{16}{24}+\frac{9}{24}=\frac{16+9}{24}=\frac{25}{24}

5)

\frac{7}{8}-\frac{5}{6}=

Again, the lowest common denominator is 24. This time the denominator of the 1st fraction is 8 while the denominator of the 2nd fraction is 6, so we have to multiply the numerator of the 1st fraction by 3 and the numerator of the 2nd fraction by 4.

We get:

7\cdot 3 = 21\\5\cdot 4 = 20

So the expression will be rewritten as:

\frac{7}{8}-\frac{5}{6}=\frac{21}{24}-\frac{20}{24}=\frac{21-20}{24}=\frac{1}{24}

6)

\frac{1}{6}+\frac{7}{8}=

Here the situation is similar to the first 4 exercises: using 24 as lowest common denominator, the numerators become

1\cdot 4 = 4\\7\cdot 3 = 21

So the expression becomes

\frac{1}{6}+\frac{7}{8}=\frac{4}{24}+\frac{21}{24}=\frac{4+21}{24}=\frac{25}{24}

Learn more about fractions:

brainly.com/question/605571

brainly.com/question/1312102

#LearnwithBrainly

8 0
3 years ago
Which fraction is equal to k in the equation below? <br>1\3 / 2= k
Nitella [24]

Answer:

0_10 =0_2

Step-by-step explanation:

Convert the following to base 2:

0_10

Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.

Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:

Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value

0 | 2^0 | 1

Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.

Label each place of the base-2 representation of 0 with the appropriate power of 2:

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | __ | )_(_2)

Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.

Determine the value of 0 in base 2:

0/2=0 with remainder 0

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | 0 | )_(_2)

Hint: | Express 0_10 in base 2.

The number 0_10 is equivalent to 0_2 in base 2.

Answer: 0_10 =0_2

8 0
3 years ago
What is the distance between the points (-4,2) and (3,-5)
34kurt

Answer:

7√2 units

Step-by-step explanation:

The distance between two points having coordinates (x1, y1) and (x2, y2) is given by,

\sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} }

Here, x1=-4 and y1=2

x2=3 and y2=-5

\sqrt{ {(3  - ( -  4))}^{2}  +  {( - 5 - 2)}^{2} }

\sqrt{ {(3 + 4)}^{2}  +  {( - 7)}^{2} }

\sqrt{ {(7)}^{2}  +  {( - 7)}^{2} }

\sqrt{49 + 49}  = 7 \sqrt{2}

6 0
3 years ago
Read 2 more answers
Write a linear function f with f(−10)=4 and f(−2)=4.
Orlov [11]

f(-10) = 4

f(-2) = 4

Since y is constant while x isnt we just dont need to put x

f(x) = 4

6 0
3 years ago
I go to a baseball field and survey the people in the stands, asking what is your favorite sport. Is this a fair sample of peopl
Alinara [238K]

Answer:

No.

Step-by-step explanation:

If you go to a baseball park and ask what their favorite sport is most will probably say baseball. Just as if you go to a basketball court, most would respond with basketball as their favorite sport. I suggest not going to anything related to sports and asking random people.

4 0
2 years ago
Other questions:
  • Find the derivative of the function. y = tan2(8θ)
    11·1 answer
  • The liver and esophagus are part of the digestive system. True or False
    12·2 answers
  • Which statements describe a triangular prism? Select three options.
    14·1 answer
  • Ridley bought 3 3/4 yards of blue fabric,12 5/6 yards of red fabric,and 7 2/3 yards of purple fabric.if she paid $7.50 per yard,
    6·1 answer
  • Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?
    6·1 answer
  • People leaving the library were asked how many books they checked out that
    15·1 answer
  • The first column contains five pairs of relationships. Determine if each pair forms
    11·1 answer
  • Math help. you could just answer the inequality and I can do the rest but it would be helpful you you could answer both.
    7·1 answer
  • Please help!!!!!!!!!!​
    6·1 answer
  • Calculate the sum.
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!