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nydimaria [60]
3 years ago
10

Write an equation of the line that passes through (1,2) and is parallel to the line y=−5x+4

Mathematics
2 answers:
liq [111]3 years ago
4 0

We know that the slope is -5, so:

y = -5x + b

Input (1, 2)

2 = -5 + b

b = 7

So:

y = -5x + 7

lukranit [14]3 years ago
3 0

You are using the equation:

y = mx + b

You need to find "m" and "b".

"m" is the slope, "b" is your y-intercept(when x = 0)

For the equation of the line to be parallel to the given equation, the slopes have to be the SAME. The slope of the given line is -5, so the parallel line's slope is also -5. (m = -5)

y = mx + b

y = -5x + b

To find b, you plug in the point (1,2) into the equation

y = -5x + b

2 = -5(1) + b

2 = -5 + b Add 5 on both sides to get "b" by itself

2 + 5 = -5 + b + 5

7 = b


Your equation is:

y = -5x + 7

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ZanzabumX [31]

Answer: (f-g)(2)=14

Step-by-step explanation:

(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.

Method 1

f(2)=3(2)²+1                                [exponent]

f(2)=3(4)+1                                  [multiply]

f(2)=12+1                                     [add]

f(2)=13

g(2)=1-(2)                                    [subtract]

g(2)=-1                  

(f-g)(2)=13-(-1)                            [subtract f(2) and g(2)]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Method 2

(f-g)(x)=3x²+1-(1-x)                     [distribute -1]

(f-g)(x)=3x²+1-1+x                      [combine like terms]

(f-g)(x)=3x²+x

(f-g)(2)=3(2)²+2                         [plug in x=2, exponent]

(f-g)(2)=3(4)+2                           [multiply]

(f-g)(2)=12+2                             [add]

(f-g)(2)=14

--------------------------------------------------------------------------------------------------------

Now, we know that (f-g)(2)=14. We confirmed this with both methods.

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Step-by-step explanation:

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Yakvenalex [24]

Step-by-step explanation:

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3 0
3 years ago
Help
pychu [463]
Use the following formula valid fo every polyhedron. 

v-e+f=2 
<span>
Search for Euler characteristic, or Euler-Poicare characteristic for more depth about this formula </span>

v= number of vertices 

e=number of edges 

f=number of faces 

<span>You get v=13

<span>I hope my answer has come to your help. Thank you for posting your question here in </span>Brainly<span>. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!</span>
</span>
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