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Talja [164]
3 years ago
5

What is the connection between rate and slope

Mathematics
1 answer:
Paraphin [41]3 years ago
6 0

Answer:

Step-by-step explanation:

In math, slope is the ratio of the vertical and horizontal changes between two points on a surface or a line. The vertical change between two points is called the rise, and the horizontal change is called the run. The slope equals the rise divided by the run: . This simple equation is called the slope formula.

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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 <span>h'(x) 
</span>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

<span> h'(x) = 1.44 ------------ > not exist</span>

8 0
2 years ago
Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)
Natasha_Volkova [10]

Answer:

\sin(\frac{\pi}{7}+x)

Step-by-step explanation:

We are going to use the identity

\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)

because this identities right hand side matches your expression where

a=\frac{\pi}{7} and b=x.

So we have that \sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x) is equal to \sin(\frac{\pi}{7}+x).

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Answer:

0.75

Step-by-step explanation:

9 ÷ 12 = 0.75

hope this helps...

4 0
2 years ago
Read 2 more answers
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