answer.
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
cupoosta [38]
2 years ago
13

What is the slope of the line defined by the parametric equations x=-2+4t and y=1+4t ?

Mathematics
1 answer:
LekaFEV [45]2 years ago
8 0

Answer:

The value of slope m = -1

Step-by-step explanation:

x = -2 + 4t

and y = 1 + 4t

Solving the both equations

x +2 = 4t

=> t = (x+2)/4     eq(1)

y-1 = 4t

=> t = (y-1)/4      eq(2)

Putting eq(1) = eq(2) as left hand side of both equations are same

(x+2)/4 = (y-1)/4

Cross multiplying

4(x+2) = 4(y-1)

4x + 8 = 4y -4

4x +4y = -4 -8

4x + 4y = -12

4(x+y) = -12

x+y = -12/4

x+y = -3

y = -x -3

The slope intercept form of line is:

y = mx + b

where m is the slope. Comparing with y = -x-3

The value of slope m = -1

You might be interested in
1. Devin is making a candle by pouring melted wax into a mold in the shape of a square pyramid. Each side of the base of the pyr
Cloud [144]

Answer:

Devin will need 9 cubes of wax.

Step-by-step explanation:

To find the volume of the pyramid, you use (area of the base)* height of the pyramid divided by 3. You know the volume of a cube of wax is 32 cm^3. The volume of your pyramid is 270 cm^3. 270/32=8.4375.

Once you get 8.4375 cubes, you round to the next whole number, which is nine.

4 0
2 years ago
Read 2 more answers
Your company has just taken out a 1-year installment loan for $72,500 at a nominal rate of 20.0% but with equal end-of-month pay
Mariulka [41]

Answer:

100% of the 2nd monthly payment go toward the repayment of principal.

Step-by-step explanation:

The loan taken is the Principal which is mentioned as $72,500 with interest at a nominal rate of 20%. Firstly, it is important to understand that nominal rate means <em>non-compounding </em>rate. Simply put will be a "<em>one-time charged" </em>rate on the loan. Since this is given as 20% of the Principal. It is calculated thus: \frac{20}{100} × \frac{72,500}{1}= $14,500. So the interest on the loan is $14,500. Added to the Principal the total amount to be paid back by the company becomes: $72,500 + $14,500 = $87,000. To pay back this amount at equal end-of-month installments in 1 year (12 months), we divide the total amount by 12. i.e \frac{87000}{12} = $7250. This means, the monthly payment will be $7,250. Since the monthly payment pays only 10% of the initial principal $72,500. By the second month only 20% of the Principal would have been paid. So all of the monthly payment will go towards repaying the principal

3 0
2 years ago
A drinks company use 76.8 kg of sugar in April .How much sugar the day use each day?​
Strike441 [17]

Answer:

2.56 kgs

Step-by-step explanation:

76.8kg ÷ 30 days = 2.56 kgs

4 0
2 years ago
Read 2 more answers
If the probability is 0.54 that Stock A will increase in value during the next month and the probability is 0.68 that Stock B wi
Aloiza [94]

P(A) =0.54

P(B)= 0.68

P'(A)= 1-0.54 = 0.46

P'(B)= 1- 0.68 = 0.32

The probability of neither of both event will occur:

= P'(A)×P'(B)

=0.46 × 0.32

=0.1472

3 0
2 years ago
11. The sales tax rate is 6.9%
Norma-Jean [14]

Answer:

40.1%

Step-by-step explanation:

I am assuming that 192 is in 100%.

100% = 192

I then represent the value that we are looking for with x.

x% = 77

By dividing both equations (100% = 192 and x% = 77) and remembering that both left hand sides of BOTH equations have the percentage unit (%).

\frac{100}{x} = \frac{77}{192}

Now, of course, we take the reciprocal, or inverse, of both sides:

\frac{x}{100} = \frac{7}{192}

x = 40.1%

Thus making the answer: 40.1% of 192 is 77.

7 0
2 years ago
Other questions:
  • Find the smallest positive integer k such that 360k is a cube number
    6·1 answer
  • The area of a square is tripled by adding 10 cm to one dimension and 12 cm to the other. Determine the side length of the square
    15·1 answer
  • Two-thirds of Tyrone's books are mystery novels. Tyrone has 42 books How many mystery novels does he have ?
    13·1 answer
  • Varia is studying abroad in Europe. She is required pay $3,500 (in US dollars) per year to the university; however, she must pay
    15·2 answers
  • How much greater than n-11 is n+3
    7·2 answers
  • If t stands for the number of years since 2000 write an equation for the deer population p as a function of t
    6·1 answer
  • Solve the system of linear equations. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.
    13·1 answer
  • John drove from station A to station B a distance of 224 miles. On his way back, he increased his speed by 10 mph. If the journe
    10·1 answer
  • An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
    9·2 answers
  • PLS I NEED THIS ASAP 100 POINT ---------The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission o
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!