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Anton [14]
1 year ago
10

Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far did shetravel in one hour?On the double number lin

e below, fill in the given values, then use multiplication ordivision to find the missing value.

Mathematics
1 answer:
Tcecarenko [31]1 year ago
8 0

We have a question on motion with the elements of distance, time taken and speed.

This question in particular is asking us for distance per unit time (in this case, hours).

We are required to find out how much distnace is covered in on hour and our approach will be as follows:

\text{Speed= }\frac{\text{Distance}}{\text{time}}=\frac{180\text{miles}}{4\text{hours}}=\frac{45\text{ miles}}{1\text{ hour}}

This right here just tells us that 4 hours, Madeline covered 180 miles and since her rate was constant (equal distances in equal times), then she also covered 45 miles in an hour.

Now we plot our number line.

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If a polynomial function f(x) has roots -8, 1, and 6i, what must also be a root of f(x)?
Naddik [55]

Answer:

it must also have the root : - 6i

Step-by-step explanation:

If a polynomial is expressed with real coefficients (which must be the case if it is a function f(x) in the Real coordinate system), then if it has a complex root "a+bi", it must also have for root the conjugate of that complex root.

This is because in order to render a polynomial with Real coefficients, the binomial factor  (x - (a+bi)) originated using the complex root would be able to eliminate the imaginary unit, only when multiplied by the binomial factor generated by its conjugate: (x - (a-bi)). This is shown below:

(x-(a+bi))*(x-(a-bi))=\\(x-a-bi)*(x-a+bi)=\\([x-a]-bi)*([x-a]+bi)=\\(x-a)^2-(bi)^2=\\(x-a)^2-b^2(-1)=\\(x-a)^2+b^2

where the imaginary unit has disappeared, making the expression real.

So in our case, a+bi is -6i (real part a=0, and imaginary part b=-6)

Then, the conjugate of this root would be: +6i, giving us the other complex root that also may be present in the real polynomial we are dealing with.

5 0
3 years ago
You had $23 to spend on three raffle tickets. After buying them you had $17.
Viktor [21]

Answer:

$2

Step-by-step explanation:

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Therefore, each raffle ticket cost $2.

3 0
2 years ago
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Ierofanga [76]
H is the answer........
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3 years ago
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Can someone explain this or help me plss .
Ilya [14]

Answer:I'll explain this to you, It's a chart with lined down margin math equation.

Step-by-step explanation:

So the first up/down line margin is X*X, the second is X numbers, third is x^x numbers, fourth is explain the left to right's math solutions into words. Just imply your following numbers into X's and onto your chart. Hopefully this helps.

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3 years ago
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