Please help image attached

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Answer 1

Answer:

Answer:

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If AB = 3, AD= 5, andDE= 6, what is the length of BC?

Three less than the square of the quotient of a number and five

Answers

Look for the word "Is" first - this is where your "=" goes. (In your problem, it actually says "is equal to".)

So now you know you have = 9.

The next key word on the left is "quotient" - that means divide. It says "quotient of a number and 5" - so we'll divide an unknown number (y in your problem) by 5.

Three less than means subtract 3 from that quotient.

So you need to start with the quotient: y/5 - 3 = 9.

hope it helps!

Use algebra to solve 3x+4 = 1/x
The exact solutions are x=
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Answers

Answer:

Ignore the A before the ±, it wouldn't let me type it correctly.

$x=(2±√(7) )/(3)$

Step-by-step explanation:

3x + 4 = 1 ÷ x

3x + 4 - 4 = 1 ÷ x - 4

3x = 1 ÷ x - 4

$3x=(1)/(x) +(x(-4))/(x)$

$3x=(1+x(-4))/(x)$

$3x=(1-4x)/(x)$

$x(3x)=x((1-4x)/(x))$

x · 3x = - 4x + 1

3x² = - 4x + 1

3x² - (- 4x + 1) = 0

3x² + 4x - 1 = 0

Ignore the A before the ±, it wouldn't let me type it correctly.

$x=\frac{-b±\sqrt{b^(2)-4ac } }{2a}$

a = 3

b = 4

c = - 1

$x=\frac{-4±\sqrt{4^(2)-4((3)(-1)) } }{2(3)}$

$x=(-4±√(16-4((3)(-1)) ) )/(2(3))$

$x=(-4±√(16+12 ) )/(2(3))$

$x=(-4±√(28 ) )/(2(3))$

$x=(-4±√((2)(14) ) )/(2(3))$

$x=(-4±√((2)(2)(7) ) )/(2(3))$

$x=(-4±√(2 ) √(2)√(7) )/(2(3))$

$x=(-4±2√(7) )/(2(3))$

$x=(-4±2√(7) )/(6)$

Two separate equations

$x=(-4+2√(7) )/(6)$

$x=(2+√(7) )/(3)$

$x=(-4-2√(7) )/(6)$

$x=(2-√(7) )/(3)$

If EN=16 and BN=20 what is the scale factor of the dilation?

Answers

The scale factor of the dilation is approximately 1.25.

To find the scale factor of the dilation, we need to compare the corresponding side lengths of the original figure and the dilated figure.

Let's consider the two corresponding side lengths:

Original side: EN = 16 units

Dilated side: BN = 20 units

The scale factor (k) of the dilation is the ratio of the corresponding side lengths in the dilated figure to the original figure. It can be calculated using the formula:

Scale factor (k) = Dilated side length / Original side length

Substituting the given values:

k = 20 / 16 ≈ 1.25

for such more question on scale factor

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PLEASE HELP IF YOU KNOW THIS!!!!!

Answers

Answer:

7cm

Step-by-step explanation:

3cmx3cm=9cm

9cmx3.14=28.26

28.26/197.9=7 (plus a bunch of decimals!)

So 7cm is your height

Answer:

7.50 is the answer so either 7 or 8

Step-by-step explanation:

h= (A/2piR) -r

Plug in the area and the radius and you got the answer. Use 3.14 as pi

A train travels 45 feet in 1/10 if a second. How far will it travel in 3.5 seconds

Answers

The distance covered by the train in 3.5 seconds will be 1575 feet.

What is speed?

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A train travels 45 feet in 1/10 in a second.

Then the speed will be

Speed = 45 / (1/10)

Speed = 45 x 10

Speed = 450 feet per second

The distance covered by the train in 3.5 seconds will be

Distance = 450 x 3.5

Distance = 1575 feet

More about the speed link is given below.

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Answer:

1575 ft

Step-by-step explanation:

Convert 1/10 to decimal to make the math simpler.

1/10 = 0.1

Divide 3.5 by 0.1.

3.5/0.1 = 35

Multiply 35 by 45.

35 × 45 = 1575

The train will travel 1575 feet in 3.5 seconds.

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

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