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
White raven [17]
3 years ago
7

Find the equation of a line passing through (3, -5) that is parallel to 2x+6y=10

Mathematics
1 answer:
Zina [86]3 years ago
4 0

Answer:

The equation of the line would be y = -1/3x - 4

Step-by-step explanation:

In order to find this, we first need to find the slope of the original line. We do this by solving for y.

2x + 6y = 10

6y = -2x + 10

y = -1/3x + 5/3

Now that we see the slope as -1/3, we know the new line will have the same slope thanks to the definition of parallel lines. So, we can use this slope and the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - -5 = -1/3(x - 3)

y + 5 = -1/3x + 1

y = -1/3x - 4

You might be interested in
The charge to rent a trailer is ​$2525 for up to 2 hours plus ​$99 per additional hour or portion of an hour. Find the cost to r
Ksju [112]

The question is not written properly! Complete question along with answer and step by step explanation is provided below.

Question:

The charge to rent a trailer is ​$25 for up to 2 hours plus ​$9 per additional hour or portion of an hour.

Find the cost to rent a trailer for 2.8 ​hours, 3 ​hours, and 8.7 hours.

Then graph all ordered​ pairs, (hours,​ cost), for the function.

Answer:

ordered pair = (2.8, 34)

ordered pair = (3, 34)

ordered pair = (8.7, 88)

Step-by-step explanation:

Charge for 2.8 ​hours:

$25 for 2 hours

$9 for 0.8 hour

Total = $25 + $9

Total = $34

ordered pair = (2.8, 34)

Charge for 3 ​hours:

$25 for 2 hours

$9 for 1 hour

Total = $25 + $9

Total = $34

ordered pair = (3, 34)

Charge for 8.7 ​hours:

$25 for 2 hours

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 1 hour

$9 for 0.7 hour

Total = $25 + $9 + $9 + $9 + $9 + $9 + $9 + $9

Total = $88

ordered pair = (8.7, 88)

The obtained ordered pairs are graphed, please refer to the attached graph.

4 0
3 years ago
Make a the subject of p=√ab​
Marysya12 [62]
P = √ab

p² = ab

p²/b = a

a = p²/b
8 0
3 years ago
What is the number of acute obtuse and right angle of a rectangle
matrenka [14]
The number of a acute angle in a rectangle is 89 through 1 the obtuse angle in a rectangle is 91 through inf and a right angle of a rectangle is 90 degrees 
4 0
3 years ago
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long co
zvonat [6]
The answer is c. ...
6 0
2 years ago
Read 2 more answers
Two more questions , 15 points.
Mumz [18]

The formula that is useful for solving both of these problems is ...

(v_2)^2-(v_1)^2=2ad\qquad\text{a=acceleration, d=distance}\\\\ \text{where $v_1$ and $v_2$ are initial and final velocities}

9. Given v₁=15, a=9.8, d=10, find v₂.

... (v₂)² = 15² + 2·9.8·10

... v₂ = √421 ≈ 20.5 . . . . m/s

10. Given d=12 m when a=-9.8 m/s² and v₂=0, find d when a=0.17·(-9.8 m/s²).

The formula tells us that d=(v₁)²/(2a), which is to say that the distance is inversely proportional to the acceleration. If acceleration is 0.17 times that on earth, distance will be 1/0.17 ≈ 5.88 times that on earth.

(12 m)/0.17 ≈ 70.6 m

7 0
3 years ago
Other questions:
  • I need to find the value of x
    7·2 answers
  • Find the y value for point F such that DF and EF form a 1:3 ratio. E(2,4) D(-3,-3)
    9·2 answers
  • What is the equation of a circle with center (8, 6) and radiuss5?
    8·1 answer
  • Find the mean of the integers -54 -32 -70 -25 -65 -42
    13·2 answers
  • Abger Electronics, a retail store, restructures its employees’ schedules every six months. The employees are asked for their shi
    13·2 answers
  • dante's mom will bake chocolate chip cookies for the children making snowman outside! she bake 60 cookies. Each child must have
    15·2 answers
  • 5(x - 2) - x - 5 = -3
    13·2 answers
  • Can someone help me please ​
    11·1 answer
  • A bank charges 0.9 discount points on a loan of $377,200. What is the cost of the points?
    14·2 answers
  • I am trying to help my daughter out and I have no clue
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!