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Pani-rosa [81]
4 years ago
6

I WILL GIVE INSTANT BRANLEST FOR WHO ANSERS THIS QUESTION CORECTLY The map of a walking trail is drawn on a coordinate grid with

three points of interest. The trail starts at R(−1, 4) and goes to S(5, 4) and continues to T(5, −2). The total length of the walking trail is ____ units. (Input whole numbers only.)

Mathematics
2 answers:
postnew [5]4 years ago
6 0
I believe it is 12 since it is not asking for shortest distance
Anna71 [15]4 years ago
4 0
Draw the trail and label all the points on the triangle.

Then, use the distance formula between points: 

Distance = \sqrt{(x1-x2)^2 + (y1-y2)^2}

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The first painter can finish a paint job in 2 hours. The second painter can finish the same job in 8 hours. How long would it ta
xxMikexx [17]
1h 15minutes, I converted each time into fractions, 2hours to \frac{2}{2} and the 8hour to \frac{8}{8}, this means, painter #1 finishes 1/2 of the project in 1 hour, and paither #2 finishes 1/8 of project in 1 hour, now when we make each fraction out of 2 hours, so \frac{2}{2} and \frac{2}{8}, we add them and get \frac{10}{8}, then as mixed number, 1 1/4 which is 1 hour and 15min<em>(1/4 of a hour)</em> I believe im right.
3 0
3 years ago
Question
Kay [80]

Answer:

f(x)=2(x-2)(x^2+64)

Step-by-step explanation:

A standard polynomial in factored form is given by:

f(x)=a(x-p)(x-q)...

Where <em>p</em> and <em>q</em> are the zeros.

We want to find a third-degree polynomial with zeros <em>x</em> = 2 and <em>x </em>= -8i and equals 320 when <em>x </em>= 4.

First, by the Complex Root Theorem, if <em>x</em> = -8i is a root, then <em>x </em>= 8i must also be a root.

Therefore, we acquire:

f(x)=a(x-(2))(x-(-8i))(x-(8i))

Simplify:

f(x)=a(x-2)(x+8i)(x-8i)

Expand the second and third factors:

=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64

Hence, our function is now:

f(x)=a(x-2)(x^2+64)

It equals 320 when <em>x</em> = 4. Therefore:

320=a(4-2)(4^2+64)

Solve for <em>a</em>. Evaluate:

320=(2)(80)a

So:

320=160a\Rightarrow a=2

Our third-degree polynomial equation is:

f(x)=2(x-2)(x^2+64)

7 0
3 years ago
Can somebody helppp !!! ???
viva [34]

Answer:

try b

Step-by-step explanation:

7 0
3 years ago
Antonio is a freelance computer programer. In his work , he often uses the power of 2^n to find the number of ways bits (or unit
valentina_108 [34]
Answer: 2^{n} -1

Justification:

As told in the statement, n stands for the number of bits, and  2^{n} is the highest number of ways n bits can be arranged in the system.

Now, Antonio wants to show that the character can collect one less key than that. So, that number is 2^{n} less 1, which is what the formula 2^{n} - 1 states.


4 0
4 years ago
How the Information Revolution changed American Economics.
notka56 [123]

Answer:

The Industrial Revolution shifted from an agrarian economy to a manufacturing economy where products were no longer made solely by hand but by machines. This led to increased production and efficiency, lower prices, more goods, improved wages, and migration from rural areas to urban areas.

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3 years ago
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