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2 years ago

13

Mrs. Elizondo runs around a 400-meter track at a constant speed of 250 meter per minute. How many minutes does it take Mrs. Eliz

ondo to complete 4 laps of the track?

1 answer:

anastassius [24]2 years ago

3 0

Answer: See explanation

Step-by-step explanation:

From the information, we are told that Mrs. Elizondo runs around a 400-meter track. If she runs 4 laps, the total meters will be:

= 400 × 4

= 1600 meters

Since she uses a constant speed of 250 meter per minute. The number if minutes taken to complete the 4 laps will be gotten by dividing 1600 by 250. This will be:

= 1600 / 250

= 6.4 minutes

= 6 minutes + (0.4 × 60 seconds).

= 6 minutes 24 seconds

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(X^3+1)dividend (x-1)

bazaltina [42]

$x^3=x\cdot x^2$ and $x^2(x-1)=x^3-x^2$ . So we have a remainder of

$(x^3+1)-(x^3-x^2)=x^2+1$

$x^2=x\cdot x$ and $x(x-1)=x^2-x$ . Subtracting this from the previous remainder gives a new remainder

$(x^2+1)-(x^2-x)=x+1$

$x=x\cdot1$ and $1(x-1)=x-1$ . Subtracting this from the previous remainder gives a new one of

$(x+1)-(x-1)=2$

and we're done since 2 does not divide $x$ . So we have

$\dfrac{x^3+1}{x-1}=x^2+x+1+\dfrac2{x-1}$

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2 years ago

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

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2 years ago

The perimeter of a notebook is 44 inches the notebook is 10 inches wide how tall is it?

tatyana61 [14]

Answer=36inches tall

Explanation= 44+10= 54
90-54=36in

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2 years ago

Ricardo took the following steps to simplify the expression below but was surprised to hear that his answer was incorrect. Which

Xelga [282]

You have not given us any of the steps that Ricardo took to simplify the
expression, and you also haven't given us the list of choices that includes
the description of his mistake, so you're batting O for two so far.
Other than those minor details, the question is intriguing, and it certainly
draws me in.

If Ricardo made a mistake in simplifying that expression, I'm going to say that
it was most likely in the process of removing the parentheses in the middle.

Now you understand that this is all guess-work, because of all the stuff that you
left out when you copied the question, but I think he probably forgot that the 3x
operates on everything inside the parentheses.

He probably wrote that 3x (x-3) is

either 3x² - 3
or x - 9x .

In reality, when properly simplified,

3x (x - 3) = 3x² - 9x .

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2 years ago

Equation of a straight line (see attached)

Viefleur [7K]

Answer:

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2 years ago

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