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2 years ago

I NEED HELP NOWWWWW. PLEEEASSSE ANSWER QUICKLY WITH CORRECT ANSWER. WILL BE AWARDED WITH BRAINLIEST ANSWER.

Mathematics

1 answer:

Annette [7]2 years ago

6 0

Answer:

The two angles mentioned are alternate interior angles, so they are congruent.

303 feet.

Step-by-step explanation:

If you draw off the flag you can see they are alternate interior and are congruent.

Also again, make a diagram it really helps a lot

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Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros x = 2 and x = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since x = 2i is a root, x = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where a is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

5 0

2 years ago

What is the solution for tgx >=0?

ddd [48]

well, what variable are you solving for? like if you're solving for x, it would be:

tg is greater than or equal to 0x

7 0

2 years ago

The function below models the correlation between the number of hours a plant is kept in sunlight (x) and the height (y), in mm,

Vedmedyk [2.9K]

The answer is A) The original height of the plant was 4 mm

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2 years ago

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What equations is equivalent to y = log x

saw5 [17]

"log" standing alone actually means "logarithm to the base 10."

Thus, y = log x <=> y = log x
10
y
Stated another way (inverse functions), x = 10

4 0

2 years ago

The tank at a gas station contained 400 gallons of gas. A tanker truck that contained 8,100 gallons of gas filled the station's

spin [16.1K]

Answer:

1300

Step-by-step explanation:

Let the amount put in the station's tank = x

4(400 + x) = 8100 - x Remove the brackets

1600 + 4x = 8100 - x Subtract 1600 from both sides

1600 - 1600 + 4x = 8100 - 1600 - x Do the subtraction

4x = 6500 - x Add x to both sides

4x + x = 6500 - x + x

5x = 6500 Divide by 5

5x/5 = 6500/5

x = 1300

1300 gallons were added to the station's tank.

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2 years ago

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