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Salsk061 [2.6K]
3 years ago
6

Consider the following quadratic function and its graph. f(x) = x2 – 4x – 21 On a coordinate plane, a parabola opens up. It goes

through (negative 4, 8), has a vertex around (2, negative 21), and goes through (8, 8). What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0 A number line going from negative 8 to 8. Open circles are at negative 3 and 7. The line between the circles is shaded. A number line going from negative 8 to 8. Closed circles are at negative 3 and 7. The line between the circles is shaded. A number line going from negative 8 to 8. Open circles are at negative 3 and 7. The line to the left of negative 3 and to the right of 7 is shaded. A number line going from negative 8 to 8. Closed circles are at negative 3 and 7. The line to the left of negative 3 and to the right of 7 is shaded.
Mathematics
1 answer:
Darya [45]3 years ago
3 0

Answer:

THE ANSWER IS B

Step-by-step explanation:

ON EDGE

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With reference to the figure, sin X equals?<br> 1.) 0.250<br> 2.)0.447<br> 3.)0.894<br> 4.)1
Flura [38]

Answer:

3.) 0.894

Step-by-step explanation:

✔️First, find BD using Pythagorean Theorem:

BD² = BC² - DC²

BC = 17.89

DC = 16

Plug in the values

BD² = 17.89² - 16²

BD² = 64.0521

BD = √64.0521

BD = 8.0 (nearest tenth)

✔️Next, find AD using the right triangle altitude theorem:

BD = √(AD*DC)

Plug in the values into the equation

8 = √(AD*16)

Square both sides

8² = AD*16

64 = AD*16

Divide both sides by 16

4 = AD

AD = 4

✔️Find AB using Pythagorean Theorem:

AB = √(BD² + AD²)

AB = √(8² + 4²)

AB = √(64 + 16)

AB = √(80)

AB = 8.9 (nearest tenth)

✔️Find sin x using trigonometric ratio formula:

Reference angle = x

Opposite side = BD = 8

Hypotenuse = AB = 8.944

Thus:

sin(x) = \frac{opp}{hyp} = \frac{8}{8.944} = 0.894 (nearest thousandth)

6 0
3 years ago
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Answer:

10. Altitude

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Step-by-step explanation:

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4 0
3 years ago
Can someone please how to do fractions in the lowest terms
VikaD [51]

Answer:

In order to out a fraction in lowest terms, you must divide by the Greatest Common Factor, or GCM, of the numerator and denominator in the fraction. Let's say we have the fraction 25/100. We know that the greastest common factor of 25 and 100 is 25, as 25 ÷ 25 = 1 and 100 ÷ 25 = 4 so 25/100 in lowest terms is 1/4:

25        25       1

___  ÷ ___ = ___

100      25       4

If the GCM of a fraction equals 1, the fraction is simplified. Because the only common factor of 1 and 4 is 1, we know this fraction is simplified.

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6 0
3 years ago
Factor the polynomial expression 8x2 + 2.
AnnZ [28]

Answer:

2(4x^2+1)

Step-by-step explanation:

The greatest common factor of 8x^2 and 2 is 2.

We can factor:

2(4x^2+1)

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4 years ago
Is 0.121122111222 a repeating or terminating decimal? If so, why?
oksian1 [2.3K]

Answer:

I'm just guessing that it is. That question is on my math homework and the definition in the back of my math book says: A decimal in which one or more digits repeat infinitely and I put yes. Because they repeat.

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