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4 years ago

Solve ( x + 4 ) / 2 = ( x - 3 ) / 3

1 answer:

4 0

Simplify x - 3/3 to -1 + x/3

regroup terms

multiply both sides by 6 (The LCM of 2,3)

expand

subtract 2x from both sides

simplify 3x + 12 - 2x to x + 12

subtract 12 from both sides

simplify -6 - 12 to -18

Answer: x = -18.

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You are situated 300 feet from the base of Tower Glitz Plaza watching an external elevator descend down the side of the building

nordsb [41]

Answer:

18.66 ft/s

Step-by-step explanation:

The distance between you and the elevator is given by:

$h=\sqrt{x^2+y^2}$

The rate of change for the distance between you and the elevator is given by:

$\frac{dh}{dt}=\frac{dh}{dy}*\frac{dy}{dt}$

$-16=\frac{dh}{dy}*\frac{dy}{dt}$

$\frac{dh}{dy}=\frac{d}{dy} (\sqrt{x^2+y^2})\\$

Applying the chain rule:

$u=x^2+y^2\\\frac{dh}{dy}=\frac{d\sqrt u}{du} *\frac{du}{dy}\\\frac{dh}{dy}=\frac{1}{2\sqrt u} *2y\\\frac{dh}{dy}=\frac{y}{\sqrt {(x^2+y^2)}}$

Therefore, at x=300 and y = 500, dy/dt is:

$-16=\frac{y}{\sqrt {(x^2+y^2)}}*\frac{dy}{dt}\\-16=\frac{500}{\sqrt {(300^2+500^2)}}*\frac{dy}{dt}\\\frac{dy}{dt}=-18.66\ ft/s$

The elevator is descending at 18.66 ft/s.

7 0

3 years ago

ANYONE HELP PLEASE<3

I am Lyosha [343]

Answer:

y = (2/3)x + 7

Step-by-step explanation:

Slope intercept form is y = mx +b

1) We start off with y =

2) m = slope. Since we know that the slope is 2/3 we can plug it in. y = 2/3x

3) b is y-intercept which = 7.

Put it all together: y = 2/3 x + 7

8 0

3 years ago

Read 2 more answers

Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.

Anna007 [38]

Answer: 0.5

Step-by-step explanation:

Given: Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation.

Since dilation always produces similar images.

To find a scale factor between two similar figures, find two corresponding sides and write the ratio of the two sides.

AB=|-5-(-8)|=|-5+8|=3 units

A'B'=|-2.5-(-4)=|-2.5+4|=1.5 units

The ratio of the corresponding sides A'B' to AB is given by :-

$\frac{1.5}{3}=\frac{1}{2}=0.5$

hence, the scale factor of the dilation = 0.5

6 0

3 years ago

I need to solve it but don't know how

Agata [3.3K]

You can take out 2x from both sets making 4x+5 since there is no other number or variable than can simplify the sets equally the GCF is 2x

8 0

3 years ago

Read 2 more answers

Type the correct answer in each box. Use numerals Instead of words. If necessary, use / for the fraction bar(s).

gayaneshka [121]

Answer:

0.5x + 2

Step-by-step explanation:

You switch x and y and then solve for x to find the inverse.

6 0

3 years ago