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Sidana [21]
3 years ago
14

How do I find the answer?

Mathematics
1 answer:
11Alexandr11 [23.1K]3 years ago
4 0
First simplify the number part, 14/2 = 7/1
then the x part, \frac{x}{x^ \frac{3}{4} } = x^ \frac{1}{4} 

y doesn't need to be simplified
then simplify the z part, z^-6 = z^6

put it all together...
7x^ \frac{1}{4}y^ \frac{1}{3} z^6
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Alja [10]

Answer:

The red line segment is also 8.

Step-by-step explanation:

The center to a point on a cirlce is always equal.

7 0
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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
What is the length of the hypotenuse
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A horizontal translation is expressed by transforming

f(x)\mapsto f(x+k)

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So, a 3-units left shift is given by k=3. So you have

f(x)=2x^2-1 \implies f(x+3)=2(x+3)^2-1

4 0
3 years ago
39. If one student can complete the decorations for the prom in 5 days
Anuta_ua [19.1K]

Answer:

1.3 days

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1/5+1/4+1/3

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60/47

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3 years ago
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