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pentagon [3]
3 years ago
11

A four-sided figure is resized to create a scaled copy. The proportional relationship between any given side length in the origi

nal figure, f, and the corresponding side length in the scaled copy, s, can be represented by the equation s=1/7f. What is the constant of proportionality from side lengths in the original figure to side lengths in the scaled copy?
Mathematics
1 answer:
boyakko [2]3 years ago
5 0

Answer:

and I have

Step-by-step explanation:

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PROBLEM SOLVING You are participating in an orienteering competition. The diagram shows the position of a river that cuts throug
Wewaii [24]

Answer:

The shortest distance is 2.2 miles      

Step-by-step explanation:

we know that

The shortest distance you must travel to reach the river is the perpendicular distance to the river

step 1

Find the slope of the line perpendicular to the river

we have

y=3x+2

The slope of the river  is m=3

Remember that if two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)

therefore

The slope of the line perpendicular to the river is

m=-1/3

step 2

Find the equation of the line into point slope form

y-y1=m(x-x1)

we have

m=-1/3

point(2,1)

substitute

y-1=-(1/3)(x-2)

step 3

Find the intersection point of the river and the line perpendicular to the river

we have

y=3x+2 ------> equation A

y-1=-(1/3)(x-2) -----> equation B

Solve the system by graphing

The intersection point is (-0.1,1,7)

see the attached figure

step 3

Find the distance between the points (2,1) and (-0,1,1.7)

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

d=\sqrt{(1.7-1)^{2}+(-0.1-2)^{2}}

d=\sqrt{(0.7)^{2}+(-2.1)^{2}}

d=2.2\ miles

6 0
3 years ago
Simplify the expression:<br> 6(h + 6) + 1
Brrunno [24]

Answer:

This is your answer

4 0
3 years ago
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Over [174]
\mathrm{If\:}f\left(x\right)=g\left(x\right)\mathrm{,\:then\:}\ln \left(f\left(x\right)\right)=\ln \left(g\left(x\right)\right) \ \textgreater \  \ln \left(6^x\right)=\ln \left(21\right)

\mathrm{Apply\:log\:rule}:\ \log _a\left(x^b\right)=b\cdot \log _a\left(x\right) \ \textgreater \  \ln \left(6^x\right)=x\ln \left(6\right)

x\ln \left(6\right)=\ln \left(21\right) \ \textgreater \  \mathrm{Divide\:both\:sides\:by\:}\ln \left(6\right) \ \textgreater \  \frac{x\ln \left(6\right)}{\ln \left(6\right)}=\frac{\ln \left(21\right)}{\ln \left(6\right)}

Therefore \: x=\frac{\ln \left(21\right)}{\ln \left(6\right)}

In your case ln means \frac{log 21}{log 6}
5 0
3 years ago
Read 2 more answers
The Lopez family took a taxi to there next destination. The cost of the taxi was 4 dollars plus 3 dollars for each mile traveled
andrew11 [14]

Answer: 8.3

Step-by-step explanation: 37 divided by=12.3 then 12.3 - 4

4 0
4 years ago
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Square roots can be compared and ordered by comparing and ordering the numbers underneath the radical symbol.
horsena [70]

Answer:

That is correct, if you're asking if it's true or false

Step-by-step explanation:

if u could subscribe to my friend penny_pg3d that would be great!

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3 years ago
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