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
4vir4ik [10]
3 years ago
6

Which statement is true about the graphs of the two lines y=-8x - 5/4 and y= 1/8x + 4/5? The lines are perpendicular to each oth

er because –8 and are opposite reciprocals of each other. The lines are perpendicular to each other because and are opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because –8 and are not opposite reciprocals of each other. The lines are neither parallel nor perpendicular to each other because and are not opposite reciprocals of each other.
Mathematics
2 answers:
GREYUIT [131]3 years ago
4 0
Hi there!

The lines given in the problem are perpendicular to each other because they are opposite reciprocals. An opposite reciprocal is when the original slope (-8) is made opposite, which is negative or positive depending on the number (8) and is flipped upside down, or the numerator becomes the denominator and vice-versa (1/8). Opposite reciprocals are also shown by when the two slopes are multiplied together, it is equal to -1, showing that the lines are perpendicular. (-8/1 x 1/8 = -1)

Hope this helps!! :)
NNADVOKAT [17]3 years ago
3 0

Answer:

1. The lines are perpendicular to each other because -8 and 1/8 are negative reciprocals of each other.

Step-by-step explanation:  

We have been given equations of two lines as: y=-8x-\frac{5}{4} and y=\frac{1}{8}x+\frac{4}{5}. We are asked to choose the correct statement about our given lines.

We can see both equations of our given lines in slope-intercept form of equation: y=mx+b, where, m represents slope of line and b represents y-intercept.

We can see that the slopes of our lines are -8 and 1/8.

Since we know that the slopes of perpendicular lines are negative reciprocal of each other and -8 and 1/8 are negative reciprocal of each other.

Two numbers are negative reciprocal if their product is -1.

-8\times \frac{1}{8}=-1

Therefore, our given lines are perpendicular lines and 1st statement is the correct choice.

You might be interested in
What values of x make the (x-2)(x+7) expression negative
Sergio039 [100]

Answer:

One number that works is 1.

Step-by-step explanation:

(1-2)(1+7)

-1(1+7)

-1*8

-8

5 0
3 years ago
Factor. Check by multiplying<br> 2a - 14 = ?
SIZIF [17.4K]

Answer: 2a - 14 = 2(a - 7)

Step-by-step explanation:

Because 2•a = 2a and 2•-7= -4 therefore, the answer is 2(a - 7).

4 0
3 years ago
Read 2 more answers
PLEASE ANSWER WILL MARK BRAINLIEST!!!!!!!!!
diamong [38]

Answer:

36.87°

Step-by-step explanation:

cos C = 4/5

arccos C = 36.87

4 0
3 years ago
Name at least two independent variables that could result in a change in the price of a basket of apples.​
Novay_Z [31]

Answer:

In an experimental study looking at classical music exposure and reading ability in children, the researcher divided the children into two groups (Groups A and B

5 0
2 years ago
What does -3(n+5)=12 equal
Reil [10]

Answer:

n= -9

Step-by-step explanation:

-3 ( n+5 ) = 12

-3n - 15 = 12

-3n = 12+15

-3n = 27

n = -27/3

n = -9

6 0
3 years ago
Other questions:
  • Use the change of base formula to approximate the solution to logo 515 = 1 - 2x. Round to the nearest
    7·2 answers
  • If 5(x - 4) + 2 = -173, what is the value of x?
    10·2 answers
  • Simplify:<br><br> (15-6)^2-34/2<br><br> Please show strategies.
    12·1 answer
  • A paintER painted about half a room in half a day. Coley estimated the painter would paint 7 Rooms in 7 days. Is coley estimate
    5·1 answer
  • ramon is saving $7.75 per week to buy a mew cell phone.The phone he wants costs $125.00. For how many weeks will he save his mon
    11·1 answer
  • How many sixteenths are equal to 5/8
    5·2 answers
  • Given the parent function of f(x) = x4, what change will occur when the function is changed to f(−2x)?
    9·1 answer
  • What is the equation of a horizontal line passing through the point (-7,5)?
    14·2 answers
  • Someone HELP PLEASEEE
    15·1 answer
  • Which. Stem and leaf plot represents the data set below 56,113,89,85,96,104,65,67,72,88,97
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!