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2 years ago

Find the equation of the line with slope m

Mathematics

1 answer:

sukhopar [10]2 years ago

4 0

Answer:

y = - $\frac{1}{2}$ x - 4

Step-by-step explanation:

( $x_{1}$ , $y_{1}$ )

y - $y_{1}$ = m ( x - $x_{1}$ )

~~~~~~~~~~~~~~~~~

m = - $\frac{1}{2}$

( - 10, 1 )

y - 1 = - $\frac{1}{2}$ [ x - ( - 10 )]

y - 1 = - $\frac{1}{2}$ x + ( - $\frac{1}{2}$ )(10)

y = -  $\frac{1}{2}$  x - 4

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Can I get help solving this graph please?

Daniel [21]

see the attached figure with the letters

1) find m(x) in the interval A,B
A (0,100) B(50,40) -------------- > p=(y2-y1(/(x2-x1)=(40-100)/(50-0)=-6/5
m=px+b---------- > 100=(-6/5)*0 +b------------- > b=100
mAB=(-6/5)x+100

2) find m(x) in the interval B,C
B(50,40) C(100,100) -------------- > p=(y2-y1(/(x2-x1)=(100-40)/(100-50)=6/5
m=px+b---------- > 40=(6/5)*50 +b------------- > b=-20
mBC=(6/5)x-20

3) find n(x) in the interval A,B
A (0,0) B(50,60) -------------- > p=(y2-y1(/(x2-x1)=(60)/(50)=6/5
n=px+b---------- > 0=(6/5)*0 +b------------- > b=0
nAB=(6/5)x

4) find n(x) in the interval B,C
B(50,60) C(100,90) -------------- > p=(y2-y1(/(x2-x1)=(90-60)/(100-50)=3/5
n=px+b---------- > 60=(3/5)*50 +b------------- > b=30
nBC=(3/5)x+30

5) find h(x) = n(m(x)) in the interval A,B
mAB=(-6/5)x+100
nAB=(6/5)x
then
n(m(x))=(6/5)*[(-6/5)x+100]=(-36/25)x+120
h(x)=(-36/25)x+120
find h'(x)
h'(x)=-36/25=-1.44

6) find h(x) = n(m(x)) in the interval B,C
mBC=(6/5)x-20
nBC=(3/5)x+30
then
n(m(x))=(3/5)*[(6/5)x-20]+30 =(18/25)x-12+30=(18/25)x+18
h(x)=(18/25)x+18
find h'(x)
h'(x)=18/25=0.72

for the interval (A,B) h'(x)=-1.44
for the interval (B,C) h'(x)= 0.72

 h'(x) = 1.44 ------------ > not exist

8 0

3 years ago

Factorize 12x² + 15xy

kolezko [41]

Answer:

3x(4x+5y)

Step-by-step explanation:

and yh.........

4 0

3 years ago

Read 2 more answers

Solve the problem c=3.14d for d

Maksim231197 [3]

Answer:

$c = 3.14d \\ d = \frac{c}{3.14}$

It's change of subject. :)

3 0

2 years ago

The points L, M, N and O all lie on the same line segment, in that order, such that the ratio of LM : MN : NO is equal to 3 : 1

jasenka [17]

Answer:

NO = 20

Step-by-step explanation:

If the pieces are in the ratio of 3:1:5 and the whole thing is 36, then set up an equation:

3x + 1x + 5x = 36

and solve, see image.

5 0

2 years ago

When solving a system of two linear equations

soldier1979 [14.2K]

Answer:

When both equations have the same slope, but not the same y-intercept, they'll be parallel to each other and no intersections means no solutions. When both equations have different slopes than regardless of the y-intercept they'll intersect for certain, therefore it has exactly one solution.

Step-by-step explanation:

Got this from google hope it helps

7 0

2 years ago