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2 years ago

What is the following product? 3√10(y^2√4 + √8y)

Mathematics

2 answers:

Elenna [48]2 years ago

8 0

Answer:

6y^2√10 +12y √5

Step-by-step explanation:

3√10(y^2√4 + √8y)

Distribute

3√10(y^2√4) +3√10 (√8y)

3y^2 √40+3y√80

We know that √ab = √a√b

3y^2 √4*√10+3y√16√5

3y^2 *2*√10+3y*4√5

6y^2√10 +12y √5

tatiyna2 years ago

8 0

<h2>Answer:</h2>

The product is 18.973666y2+26.832816y

<h2>Step-by-step explanation:</h2>

3√10(y2√4+√8y)

Let's simplify step-by-step.

18.973666y2+26.832816y

As we see

There are no like terms.

The product is =18.973666y2+26.832816y

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A rope is tied to the bottom of a hot air balloon ad shown below The rope makes an angle of 35 with the ground and is 75 ft long

damaskus [11]

Answer:

The answer to your question is 43 ft

Step-by-step explanation:

Data

angle = Ф = 35°

length = 75 ft

height = ?

Process

To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side (height) and the hypotenuse (length) is sine.

sin Ф = Height / length

-Solve for height

height = length x sin Ф

-Substitution

height = 75 x sin 35

-Simplification

height = 75 x 0.574

-Result

height = 43 ft

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Step-by-step explanation:

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What is the value of -36 - (-40) 0-76 076 O 4 0-4

maksim [4K]

Answer:

Step-by-step explanation:

→ –36 – ( –40 )

Whenever there is sign of subtraction before the brackets, signs of the numbers inside the brackets get changed when we removed the brackets.

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2 years ago

Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2

ratelena [41]

Answer:

C) y = 2x + 7; y = 2x + 2

Step-by-step explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

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2 years ago