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
Vikki [24]
3 years ago
14

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y=-4x-7. Primrose Avenue can be represented

by the equation 8x+2y=17
Mathematics
1 answer:
Lilit [14]3 years ago
7 0

The complete question is;

when graphed on a coordinate plane, Bumby avenue can be represented by the equation y = -4x - 7. Primrose Avenue can be represented by the equation 8x + 2y = 17. Are these two parallel?

A) They are parallel because their slopes are the same

B) They are not parallel because their slopes are the same

C) They are parallel because their slopes are opposite reciprocals

D) They are not parallel because their slopes are opposite reciprocals

Answer:

Option D: They are not parallel because their slopes are opposite reciprocals

Step-by-step explanation:

Bumby avenue is represented by the equation y = -4x - 7 while Primrose Avenue can be represented by the equation 8x + 2y = 17.

Now, the general formula for slope intercept is;. y = mx + c.

Where m is the slope and c is the y - intercept.

This means the slope of bamby is - 4 while that of Primrose is 8.

The slopes are not the same and so options A and B are not correct.

Now, -4 is an opposite reciprocal of 8/-2.

But an opposite reciprocal means that both lines on the graph are perpendicular to each other.

Thus, option C is wrong because they are not parallel.

So correct option is D.

You might be interested in
As a salesperson, you are paid $50 per week plus $2 per sale. This week you want your pay to be at least $100. What is the minim
Georgia [21]
50+2x=100
-50       -50(subtract 50 from both sides)
       2x=50 (divide both sides by 2)
        x=25
8 0
3 years ago
Read 2 more answers
Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th
HACTEHA [7]

Answer:

Required equation of tangent plane is z=\frac{6}{5}(x-5y-11).

Step-by-step explanation:

Given surface function is,

f(x,y)=6-\frac{6}{5}(x-y)

To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)

So that,

f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}

f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}

f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6

Substitute all these values in (1) we get,

z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}

\therefore z=\frac{6}{5}(x-5y-11)

Which is the required euation of tangent plane.

4 0
3 years ago
What is 56% as a fraction<br> plz show me in steps:)
kiruha [24]

Answer:

14/25

Step-by-step explanation:

All percentages can be represented by PERCENTAGE/100

So 56% is 56/100

Then simplify by dividing by 2

28/50 Then simplify again by 2

14/25

8 0
3 years ago
Read 2 more answers
Josh estimates the height of his desk. what is the reasonable estimate?
Galina-37 [17]
<span>The complete question includes these choices: A)1 foot B)2 feet C)5 feet D)9 feet The correct answer is B) 2 feet, approx. 24 inches; most standard desks have a height between 28'' to 30''. The answer A is too low, C and D are too much, the perfect answer would be at least 3-4 feet, but as this question proposes only these answers, the nearest estimating value is B)2 feet. </span>
8 0
3 years ago
Pls help meeee!!! I have benchmarks monday
quester [9]

Answer:

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year  over the course of t years.

Step-by-step explanation:

i) the cost of an automobile is given by the equation is

 C(t) = 28000\times(0.73)^{t}, where C(t) represents the cost and t represents the time in years

ii) the above equation is an exponential decay equation. It is a decay equation because growth rate is 0.73 which is less than 1 and greater than zero.

ii) when t = 0 then the cost is C(0) = 28000 represents the initial cost.

iii) from the equation in i) we can understand that the cost depreciates 27% per year over the course of t years.

therefore the correct options are:

B. the equation is an exponential decay equation.

F. $28000 represents the initial cost of an automobile that depreciates 27% per year  over the course of t years.

5 0
3 years ago
Other questions:
  • What is (-2) 3<br> (-2(34)
    15·1 answer
  • The formula for the area of a square is s2, where s is the side length of the square. What is the area of a square with a side l
    10·1 answer
  • What is 7/3x+1/3x=1+5/3x?​
    14·1 answer
  • A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is show
    13·1 answer
  • A floor plan is given for the first floor of a new house. One inch represents 10 feet. If a bedroom isfour-fifths in by nine-ten
    9·2 answers
  • HALP MEH PLS
    11·2 answers
  • If the surface area of a cube is increased by a factor of 2 (so that the new surface area is twice the size of the original surf
    6·1 answer
  • A plane left Chicago at 8:00am. At 1:P.M, the plane landed in Los Angeles, which is 1500 miles away. What was the average speed
    13·1 answer
  • This season, the probability that the Yankees will win a game is 0.56 and the probability that the Yankees will score 5 or more
    12·2 answers
  • PLEASE GUYS CAN SOMEONE HELP ME WITH THESE, POINTS TO THE KIND AND SMART PERSON TO ANSWER THESE SORT OF TEDIOUS QUESTIONS HELP A
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!