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
fomenos
3 years ago
8

Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).

Mathematics
1 answer:
Nataliya [291]3 years ago
6 0

Answer:

Step-by-step explanation:

for two lines to be parallel they MUST have the same slope but have different Y intercepts ( Y axis crossing values)

parallel lines will never intersect each other

first I use a graphing calcuator to solve the problem

I like to use y intercept form better, but you don't have use it

I will try to solve it directly without going through the y intercept equation

x + 5y = 10    in y intercept form y = mx + b is

5y = -x + 10     divide both sides by 5

y = -x/5 + 10/5    

y = -x/5 + 2

Now I need to find a parallel line that passes through the x =1 and y = 3 point recall this line will have the same slope =     m = -1/5

and a different Y axis crossing point 'b' that we don't know

y = -x/5 + b      y = 3 when x = 1 so slove for 'b'

3 = -1/5 + b

3 = -0.2 + b    add -0.2 to both sides

3.2 = b

y = -x/5 + 3.2     this is answer in y intercept form

                          if you multiply both sides by 5

5y = -x + 16        add x to both sides

x + 5y = 16         answer in standard form

THE EASIER WAY TO SOLVE THE PROBLEM IS ......

x + 5y = 10      find a line parallel that passes through x  = 1,  y = 3  

x + 5y = Z       Z is an unknown value  plug in x and y and solve for Z

1 + 5(3) = Z

Z = 16              so the parallel line in standard form is

x + 5y = 16    

same as before,  my y intercept method was correct, but not  worth the effort

       

You might be interested in
Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
Lyrx [107]
I think it b r=.5 nnnnn
8 0
3 years ago
What is the following simplified product? Assume x >0.
Anettt [7]

Answer:

tthhaatttss a lloott

Step-by-step explanation:

8 0
3 years ago
Joes age (j) is half Martha’s (m). Combined, their age is 42. What are their ages?
svp [43]

Answer:

Joe is 14.

Martha is 28.

Step-by-step explanation:

Use the variables and information from the question to make equations.

If Joe's age is half Martha's:

(1/2)m = j     OR     2j = m

If their ages combined is 42:

m + j = 42

We can substitute the equation m=2j into equation m + j = 42, replacing "m".

m + j = 42    Substitute m for 2j

2j + j = 42     Combine like terms, terms with same varables

3j = 42     Divide both sides by 3 to isolate j

j = 14       Joe's age

Since j = 14, we can substitute it into equation m=2j to find "m".

m = 2j       Substitute j for 14

m = 2(14)     Simplify

m = 28       Martha's age

Therefore Joe is 14 and Martha is 28.

5 0
3 years ago
Xy - 11 = 5 show the direct variation expalin your reasoning
Vedmedyk [2.9K]
Hey there, Lets solve this one by one 

Firstly, a<span>dd </span>11<span> to both sides 

</span>xy=5+11 
<span>
Now, </span><span>Simplify </span><span>5+11</span><span> to </span><span>16 

</span>xy=16 
<span>
Finally, d</span><span>ivide both sides by variable </span><span>y 

</span>x = 16 /y<span>
</span>
5 0
3 years ago
jack is investing 5000 in an account that earns 4% interest compounded annually. Determine to the nearest month when the investm
Dmitrij [34]

Answer:

The nearest time is 15 years or 180 months

4 0
3 years ago
Other questions:
  • Figure H was reflected across linel resulting in figure H'. Describe a transformation that would map figure H' back onto figure
    8·1 answer
  • Find the value of (22/5)²*(5/6)²-√4​
    9·1 answer
  • I need help plz .........................
    5·2 answers
  • Marlon is mixing blue paint and yellow paint in the ratio of 2:3 to make green paint. If he uses 8 liters of blue paint, how man
    11·1 answer
  • Point X is located at (3, 2). Point Y is located at (3, -8)
    5·1 answer
  • Hi bro how are you<br>kkjkjkjkjkjkjk
    5·1 answer
  • What is the multiplicative rate of change of the function? <br> 2/3<br> 3/4<br> 4/3<br> 3/2
    10·1 answer
  • Exponential function b^y=x can be expressed as
    6·1 answer
  • there are five numbers that average 260. Three of the numbers are 63, 41, and 36. The last two numbers are the same as each othe
    9·1 answer
  • If x= -2<br>what is <br>f(x)= -x²+5​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!