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3 years ago

10

A rectangle is 8 feet long. It’s width is represented by “seven plus x feet.” Which expression represents the area, in square fe

et, of the rectangle?

1 answer:

elena-s [515]3 years ago

3 0

A=8•(7+x)'

a=area

You multiply 7+x by 8 to get the area. This is the equation you need.

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What set of transformations is performed on triangle RST to form triangle R’S’T’?

DanielleElmas [232]

Answer:

The last option is correct

Step-by-step explanation:

A translation of 2 units down takes S to the point (1, -1). Then a counterclockwise rotation about the origin takes S to the point (-1, -1) where we have S' .

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4 years ago

Read 2 more answers

2(x -9) = 9 divided ( - 1/3) what value of x makes the equation true <br> plsss help :)))

Ivanshal [37]

Answer:

x = -9/2

Step-by-step explanation:

1. Divide 9 by -1/3:

$\frac{9}{1}$ ÷ $-\frac{1}{3}$ = $\frac{9}{1}$ · $-\frac{3}{1}$

= -27

2. Divide both sides by 2:

2(x - 9) = -27

$\frac{2(x-9)}{2} = \frac{-27}{2}$

(x - 9) = $-\frac{27}{2}$

3. Add 9 to both sides:

x = $-\frac{9}{2}$

(or 4.5 if you need it in decimal form)

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2 years ago

A hot air balloon rising vertically is tracked by an observer located 5 miles from the lift-off point. At a certain moment, the

Zigmanuir [339]

Answer:

Step-by-step explanation:

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tanθ = opp/adj = y/x

y = xtanθ

What this problem ultimately wants to know, is how the distance of the balloon is changing with respect to time: dy/dt. So we need to take the derivative of the above equation (you need to product rule to do so):

dy/dt = (dx/dt)tanθ + xsec2θ(dθ/dt)

We need to find out values for all of the variables:

The observer is not moving, therefore dx/dt = 0.

The observer is standing 4 miles away from the lift-off point, so x = 4.

The angle between the horizontal and the observer's line of sight is π/3, therefore θ = π/3.

The rate of change for the angle, dθ/dt, is 0.1.

Just plug all the numbers in:

dy/dt = (0)tan(π/3) + (4)sec2(π/3)(0.1)

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2 years ago

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Anastasy [175]

Answer:

distance = 5

Step-by-step explanation:

Use Pythagorean Theorem or Distance Formula (which comes from Pythagorean Thm anyway) see image.

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2 years ago

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Step-by-step explanation:

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