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
posledela
3 years ago
7

two lines intersect.One has gradient 4 and y-axis intercept 3. The other has gradient 6 and cuts the y-axis at (0,1). What is th

e point of interesection of the lines?​
Mathematics
1 answer:
timurjin [86]3 years ago
5 0

Answer:

(1, 7 )

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Then the equations of the 2 lines are

y = 4x + 3 → (1)

y = 6x + 1 → (2)

Substitute y = 6x + 1 into (1)

6x + 1 = 4x + 3 ( subtract 4x from both sides )

2x + 1 = 3 ( subtract 1 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting into (1)

y = 4(1) + 3 = 4 + 3 = 7

Point of intersection = (1, 7 )

You might be interested in
Rita's company reimburses her expenses on food, lodging, and conveyance during business trips. The company pays $55 a day for fo
MArishka [77]
<span>"The company pays $55 a day for food and lodging and $0.45 for each mile traveled" means that if she travels m miles and is on a trip for x days then Rita will receive:

55x + 0.45m dollars. 


Rita drove 300 miles, means that m=300. Thus </span>55x + 0.45m becomes <span>

</span>55x+0.45m=55x+0.45 \cdot 300=55x+135 (dollars.)

She was reimbursed  $2,335 means that 55x+135=2,335.


Part A: 55x+135=2,335.

Part B: 

We are given the equation 55x+135=2,335. Subtracting 135 from both sides we have:

55x=2,335-135=2,200.

Dividing both sides by 55, we get: x=2,200/55=40.


Part C: since x represents the number of days Rita spend on this trip, and x=40, then Rita spent 40 days on this trip. 
5 0
4 years ago
2. Find the slope, or rate of change, represented in the table below. x -1 0 1 2 3 У -8 3 14 25 36​
kirza4 [7]

Answer:

11

Step-by-step explanation:

slope is change in y over change in x. so, if x is increasing by one every time and y is increasing by 11, then the slope is 11/1, which we write as 11.

3 0
3 years ago
Round to the nearest tenth Pythagorean Theorem
Lemur [1.5K]
I think 8.0 is the answer
4 0
3 years ago
The least common multiple of 3,4,6,8 is
kati45 [8]
The least common multiple is 2
5 0
3 years ago
Read 2 more answers
For each triangle, check all that apply.
Anvisha [2.4K]
1 is an isosceles
2 is scalene
3 is an equilateral
3 0
3 years ago
Read 2 more answers
Other questions:
  • A salesperson earns a commission of $459 for selling $2700 in merchandise find the commission rate. Write the answer as a percen
    5·1 answer
  • During a concert, $3280 was received. A total of 760 people attended. Reserved seats were $6 and general admission seats were $4
    9·1 answer
  • The last answer is 180 pls help
    9·1 answer
  • A chicken farm produces ideally 600,000 eggs per day. But this total can vary by as many as 50,000 eggs. What is the maximum and
    10·1 answer
  • A lunch menu consists of 4 different kinds of sandwiches, 5 different kinds
    10·1 answer
  • Use a sum identity to find the exact value of cos 285.
    12·1 answer
  • How do you solve -5 ( -6 - 3x) + 8 = 83
    13·1 answer
  • Please answer asap with an explantion
    12·1 answer
  • Given f(x) = {(4 - x)?, what is the value of f(16)?
    9·1 answer
  • A panda and a giraffe start moving towards each other when they are 300 feet apart. The panda is running at a speed of P feet pe
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!