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
MrRa [10]
3 years ago
14

Find the equation of the line with slope m=1/2 that contains the point (4,6)

Mathematics
1 answer:
vazorg [7]3 years ago
4 0

Answer:

y = 1/2x + 4

Step-by-step explanation:

Use the formula for the equation of a line.

y = mx + b

Where m is the slope, and b is the y-intercept.

The slope is given.

y = 1/2x + b

The points (x, y) are given.

(4, 6)

Put y as 6 and x as 4, solve for b.

6 = 1/2(4) + b

6 = 2 + b

6 - 2 = b

4 = b

The y-intercept is 4 or (0, 4).

The equation of the line is y = 1/2x + 4.

You might be interested in
Max finds the product of 3/7 x 16. Which statement is true
Alex787 [66]
It equals 48/7 or 6 6/7
8 0
3 years ago
Omae wa sinderou nani (questions in the image btw)
Korvikt [17]

Let a be the number of hours worked at Job A and b the number of hours at Job B. Then

a+b=30

and

7.5a+8b=234.50

From the first equation,

b=30-a

and substituting this into the second gives

7.5a+8(30-a)=234.50\implies-0.5a+240=234.50

\implies0.5a=5.50

\implies\boxed{a=11}

5 0
3 years ago
What are the roots of the equation 9x^2 + 54x +82 = 0 in simplest a + bi form?​
s344n2d4d5 [400]

Answer:

The roots are

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Step-by-step explanation:

9x² + 54x + 82 = 0

Using the quadratic formula

That's

<h3>x =  \frac{ - b\pm \sqrt{ {b}^{2}  - 4ac} }{2a}</h3>

From the question

a = 9 , b = 54 , c = 82

Substitute the values into the above formula and solve

That's

<h3>x =  \frac{ - 54\pm \sqrt{ {54}^{2}  - 4(9)(82)} }{2(9)}  \\ x =  \frac{ - 54\pm \sqrt{2916 - 2952} }{18}  \\ x =  \frac{ - 54\pm \sqrt{ - 36} }{18}  \\ x =  \frac{ - 54\pm 6i}{18}</h3>

Separate the real and imaginary parts

That's

<h3>x =  -  \frac{54}{18} \pm \frac{6}{18}  \: i \\ x =  - 3\pm \frac{1}{3} i</h3>

We have the final answer as

<h3>x =  - 3 +  \frac{1}{3}  i \:  \:  \: or \:  \:  \: x =  - 3 -  \frac{1}{3} i \\</h3>

Hope this helps you

5 0
3 years ago
3/10 minus what equals 2/5?
Jlenok [28]
7/10-3/10=2/5
3/10+1/10=2/5
3 0
3 years ago
Read 2 more answers
What is 116,349 rounded to ten thousand
saul85 [17]
The answer is 116,000

5 0
3 years ago
Other questions:
  • Plz help I suck at math and need help on this.... divided by 18
    10·1 answer
  • You download 12 new songs to your MP3 player. Then you delete 5 old songs. Write each amount as an integer.
    9·1 answer
  • What is the length of side AB of the triangle?
    5·2 answers
  • How Many Times Done 16 go Into 78!??!!!!?!!?!??!?!?! HELP ME!!!
    12·2 answers
  • Plz help me I really need help !!!!!!!!!!
    13·1 answer
  • Juan will spend at most on gifts. So far, he has spent . What are the possible additional amounts he will spend?
    10·1 answer
  • Are 1/2 and 2/1 perpendicular or parallel?
    13·1 answer
  • -37 4/5 divided by 4/5
    12·2 answers
  • Two sides of a triangle are 12 and 18 cm. Complete the inequality to show the possible lengths of the third side.
    14·1 answer
  • If a polynomial has three terms, x2 12x 36, which factoring method can be considered?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!