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2 years ago

Solve for x: zx=5g(2x-c)

1 answer:

5 0

First combine like terms:

divide both sides by 2x to get the x together.

z(3x)=5g(-c)

now divide both sides by z to get the xs alone.

3x=(5g(-c))/z

Now to get x alone, divide both sides by 3

x= (5/3g(-1/3c) )÷ 1/3z

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Sarah buys 2 candy bars for $1.45. how much would one candy bar cost

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2 = $1.45
1 = $0.725

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2 years ago

Danica is in the observation area of the sears tower in chicago overlooking lake michigan. She sights two sailboats going due ea

inessss [21]

Answer:

The boats are far apart by 4506.1 feet

Step-by-step explanation:

from the graph attached

i) BC = 1353 $\times tan(71\textdegree)$ = 2761.82 feet

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2 years ago

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xz_007 [3.2K]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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

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

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

$d=2.2\ miles$

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Ksivusya [100]

A. The number of long-finned fish will increase

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