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
marta [7]
3 years ago
14

Write an equation of a line that passes through the point (7,3) and is parallel to the line y=-2/3x+3

Mathematics
2 answers:
ra1l [238]3 years ago
7 0
Its a motha "A" dude
bezimeni [28]3 years ago
4 0
Answer:
y = -2/3 x + 23/3

Explanation:
The general formula of the linear equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
We are given that the line we are looking for is parallel to the line
y = -2/3 x + 3
This means that the slope of the two lines are equal. Comparing the general formula with the given line, we would find that the slope of the given line is -2/3. This means that the slope of the line we are looking for is also -2/3
The equation of the line now becomes:
y = -2/3 x + c

2- getting the value of c:
To get the value of c, we will use a point that belongs to the line (7,3), substitute in the equation and solve for c as follows:
y = -2/3 x + c
3 = (-2/3)(7) + c
3 = -14/3 + c
c = 3 + 14/3
c = 23/3

Based on the above, the equation of the line we are looking for is:
y = -2/3 x + 23/3

Hope this helps :)
You might be interested in
Probability of rolling a 6 with two dice one with values 1, 2, 2, 3, 3, 4 and 1, 3, 4, 5, 6, 8
777dan777 [17]

Answer:

11/12 chance of the probability of rolling a 6 with 2 dice

8 0
1 year ago
The larger of two numbers is 12 more than the smaller number. If the sum of the two numbers is 74, find the two numbers. Show ho
olya-2409 [2.1K]
Set up two equations.
s + 12 = l , s + l = 74     (these equations represent the problem)

 s + (s + 12) = 74           plug in "l" to the second equation.

2s + 12 = 74               combine like terms.

2s + 12 - 12 = 74 - 12     subtract to isolate the variable

2/2s = 62/2     divide to isolate the variable.

s = 31.       This means the smaller number is 31.

31 + 12 = 43.   since the larger number is 12 more than the smaller, add 12.

l = 43              the larger number has a value of 43.

small number = 31
larger number = 43

hope this helps! :D
8 0
3 years ago
Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S
finlep [7]

Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p

a. 1/2

b. 2 times

c. 1/4

d. 4 times

Answer:

4 times

Step-by-step explanation:

Given the following :

Distance between q and S (r) = 1 unit

Distance between P and S (r) = 2 × 1 unit = 2

According to coliumbs law:

F = Ke(q1q2) /r^2

Where F = electrostatic force, Ke = coloumbs constant

q1,q2 = charges, r = distance between two charges

For q and S :

Fsq = Ke(q1q2) / 1^2

Fsq = Ke(q1q2) - - - - - equation 1

For P and S :

Fsp = Ke(q1q2) / 2^2

Fsp = Ke(q1q2) / 4 - - - - - equation 2

Dibiding equation 1 by equation 2

Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4

Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)

Fsq / Fsp = 4 / 1

Using cross multiplication

Therefore, Fsq = 4 × Fsp

7 0
3 years ago
Assume a trucker changes his tire every 40,000 miles, and that he starts with a brand new set of tires, how many sets of tires w
anyanavicka [17]
40 sets of tires. I learned this by looking up your question because it is incomplete.
6 0
3 years ago
A cylindrical can contains an unknown number of golf balls. The can has a height of 10 inches and a volume of 15.625 Pi inches c
AlladinOne [14]

20 golf balls can fit in the can.

<u>Step-by-step explanation:</u>

Given:

Height (h) = 10 Inches

Volume of 15.625 Pi inches cube.

To Find:

How many balls can be filled in that can.

Solution:

Diameter of the golf ball [as per standard value] = 1.68 in

Radius of the golf ball = \frac{1.68}{2}  = 0.84 in

Volume of the golf ball = \frac{4\pi r^3}{3}

                                      = \frac{4\pi (0.84)^3}{3}

                                       = 2.5  (or)   0.79 \pi inches

Volume of the can = 15.625\pi  in^3

Now we have to divide the volume of the can by the volume of the golf ball, we will get =  \frac{15.625 \pi }{0.79\pi } = 19.7 balls

Thus we can conclude that approximately 20 balls can be filled in that can.

7 0
4 years ago
Other questions:
  • Which description most accurately summarizes the samples results? Help
    11·2 answers
  • Consider that lines a and b are parallel. What is the measurement of ∠12?
    13·1 answer
  • On Monday, Amie rides her bike from home to school. After school, she bikes to work. After work, she bikes home. Based on the in
    9·2 answers
  • Which statement can you conclude from the Euler diagram
    11·1 answer
  • Translate each sentence to a equation
    10·1 answer
  • 15-[4-3(2-4)]<br> What is the answer
    5·1 answer
  • Miss Ray wrote a test with 15 questions. Some questions were matching problems and some were multiple choice. Matching questions
    14·1 answer
  • Select the correct graph.
    15·1 answer
  • PLEAS HELP I WILL GIVE 10 POINTS
    8·1 answer
  • What is the circumference of a circle<br> with radius 64 inches? Write your answer<br> using pi.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!