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lorasvet [3.4K]

3 years ago

8

HELP AND PLEASE PROVIDE A FULL EXPLANATION THANK YOU

1 answer:

Marrrta [24]3 years ago

8 0

Let us consider the distance between kensington and greenwich be x
since the given figure is a right angled triangle,we use pythagoras theorem to find the answer

so by pythagoras theorem
x^2= 20^2+40^2
x^2=400+1600
x^2=2000

x=root of 2000=20root 5mi
answer is option (b)

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See attached picture, is there a way to enter equations or algebraic symbols?

coldgirl [10]

SOLUTIONS

Solve a given equations or algebraic symbols?

$\begin{gathered} f(x)=x^2+2x \\ g(x)=1-x^2 \end{gathered}$

(A)

$\begin{gathered} (f+g)(x)=(x^2+2x)+(1-x^2) \\ collect\text{ like terms} \\ x^2-x^2+2x+1 \\ (f+g)(x^)=2x+1 \end{gathered}$

(B)

$\begin{gathered} (f-g)(x)=(x^2+2x)-(1-x^2) \\ =x^2+2x-1+x^2 \\ =x^2+x^2+2x-1 \\ (f-g)(x)=2x^2+2x-1 \end{gathered}$

(C)

$\begin{gathered} fg(x)=(x^2+2x)(1-x^2) \\ =x^2-x^4+2x-2x^3 \\ fg(x)=-x^4-2x^3+x^2+2x \end{gathered}$

(D)

$\begin{gathered} \frac{f}{g}(x)=(x^2+2x)\div(1-x^2) \\ =\frac{x^2+2x}{1-x^2} \end{gathered}$

5 0

1 year ago

The distance from a point on the number line to zero is known as:

Nana76 [90]

b. absolute value

Hope this helps!

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3 years ago

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Students in Mrs. Doyle's classes use 3/4 of a bottle of hand sanitizer every week. Which expression can be used to find how many

vampirchik [111]

Answer:

A. 12 x 3/4

Step-by-step explanation:

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2 years ago

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Solve using square roots

blsea [12.9K]

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8 0

3 years ago

5-2(x+5)=3x-15 solve for X

Maslowich

Answer:

x= 2

Step-by-step explanation:

5 -2(x +5)= 3x -15

Expand:

5 -2x -2(5)= 3x -15

5 -2x -10= 3x -15

Simplify:

-2x -5= 3x -15

Bring x terms to 1 side, constant to the other:

3x +2x= 15 -5

5x= 10

Divide both sides by 5:

x= 10 ÷5

x= 2

8 0

3 years ago

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