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KATRIN_1 [288]
2 years ago
7

Algebra I

Mathematics
1 answer:
Murljashka [212]2 years ago
7 0
Kskdkdkoeoeoeoroo93939394
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Pls help with Trigonometric
Sav [38]

The value of the given trigonometry function is 2√15/15

<h3>Half angles</h3>

Half angles are trigonometric identities used to express sine, cosine and tangent of half angles.

For instance the value of cos theta is expressed as shown below;

cosФ = cos(Ф/2+Ф/2)

cosФ = cos²Ф/2-sin²Ф/2
cosФ = cos²Ф/2-(1-cos²Ф/2)
cosФ  = 1 - 2cos²Ф/2

Given the following parameters

cosФ = -7/15

Substitute

cosФ  = 1 - 2cos²Ф/2

-7/15  = 1 - 2cos²Ф/2

-2cos²Ф/2 = -7/15 - 1

-2cos²Ф/2 = -8/15

cos²Ф/2 = 4/15
cosФ/2 = 2/√15

Rationalize

2/√15 * √15/√15

2√15/15

Hence the value of the given trigonometry function is 2√15/15

Learn more on trigonometry function here: brainly.com/question/2254074

#SPJ1

8 0
1 year ago
Which intervals show f(x) increasing? choose two options
vivado [14]

Answer:

(-1.6, 0)

(0, 0.8)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the x- and y- intercepts of parabola y=5x^2-16x+10
____ [38]

Y-INTERCEPT

y = 5x^2 - 16x + 10

The y-intercept is where the equation/curve/parabola cosses the y-axis.

The y-axis is where x = 0. (The x-axis is where y = 0)

To find the y-intercept:

\text{y-axis} \rightarrow \text{x = 0} \rightarrow y = 5(0)^2 -16(0) + 10 = 10

The y-intercept must be at (0, 10)

X-INTERCEPT (ROOTS/SOLUTIONS)

y = 5x^2 - 16x + 10\\\text{make it equal 0}\\y = 0\\\therefore 5x^2 - 16x + 10 = 0

We need to use the quadratic formula

The quadratic formula helps us find what values of x make the equation = 0

Quadratic formula: x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-(-16) + \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\\x = \frac{16 + \sqrt{256-200}}{10}\\x = \frac{16 + \sqrt{56}}{10}\\x = \frac{16 + 2\sqrt{14}}{10}\\x = \frac{8 + \sqrt{14}}{5}\\\\\\x=\frac{-(-16) - \sqrt{(-16)^2-4(5)(10)}}{2(5)}\\\text{doing the same thing...}\\\text{end up with...}\\x = \frac{8 - \sqrt{14}}{5}\\

The x-intercepts are at:

(\frac{8 + \sqrt{14}}{5}, 0)\\(\frac{8 - \sqrt{14}}{5}, 0)

5 0
1 year ago
9x2 - 25
Delvig [45]

-2.54

Step-by-step explanation:

rockstar

8 0
2 years ago
Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon. about how many miles
7nadin3 [17]

Answer: 270.9 miles.

Step-by-step explanation:

The formula  we use here is :

\text{Distance=Speed * Number of gallons of gasoline}

Given : Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon.

Then \text{Distance traveled }=12.6\times21.5=270.9\text{ miles}

Hence, he traveled 270.9 miles.

4 0
3 years ago
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