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Mathematics

1 answer:

Sloan [31]2 years ago

8 0

It is ABE and ABD the 1st and 3rd one

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How do u set up the word problem

galina1969 [7]

Answer:

8 feet

Step-by-step explanation:

First, draw a picture. The pole is 22 feet tall. Katherine is 5.5 feet tall. She is 24 feet from the pole. The light from the top of the pole to the tip of her shadow forms two similar right triangles. The length of her shadow is x.

Now use similar triangles to write a proportion:

22 / (24 + x) = 5.5 / x

Cross multiply:

22x = 5.5 (24 + x)

Distribute:

22x = 132 + 5.5x

Combine like terms:

16.5x = 132

Divide:

x = 8

The shadow is 8 feet long.

6 0

3 years ago

Is x = 6 a solution to the equation 5(x – 3) = x + 13?

deff fn [24]

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

8 0

3 years ago

Simplify x^1/3(x^1/2+2x^2)

Marizza181 [45]

Answer:

$x^{5/6 } + 2\cdot x^{7/3}$

Step-by-step explanation:

Let be $x^{1/3}\cdot (x^{1/2} + 2\cdot x^{2})$ , which can be simplified solely by algebraic means. We proceed to describe all the steps needed for simplification: