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3 years ago

Find the exact value of sin (arccos(-3/4))

1 answer:

6 0

The exact value is
sin(arccos(3/4))The equation for cosine is cos(A)=AdjacentHypotenuse. The inside trig function is arccos(3/4), which means cos(A)=3/4. Comparing cos(A)=AdjacentHypotenuse with cos(A)=3/4, find Adjacent=3 and Hypotenuse=4. Then, using the pythagorean theorem, find Opposite=√7.Adjacent=3Opposite=√7Hypotenuse=4Substitute in the known variables for the equation sin(A)=OppositeHypotenuse.sin(A)=√7 over 4Simplify.√7 over 4

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Kruka [31]

Answer:

can u explain it

Step-by-step explanation:

I can't understand it

5 0

3 years ago

Please help me find the answer pls

fiasKO [112]

Answer:

A. Solutions are: x = 2, y = 1.

B. Solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent

Step-by-step explanation:

A. Solutions of each system of linear equations by substitution method:

Equation 1: 3x - 2y = 4

Equation 2: x = 2y

Step 1: Substitute x = 2y into the Equation 1:

3(2y) - 2y = 4

6y - 2y = 4

4y = 4

Step 2: Divide both sides of the equation by 4 to isolate y:

$\frac{4y}{4} = \frac{4}{4}$

y = 1.

Step 3: For Equation 2, x = 2y, substitute y = 1 into the equation to solve for x:

x = 2y

x = 2(1)

x = 2

Therefore, the solutions are: x = 2, y = 1.

B. Find the solutions of each system of linear equations by elimination method:

Equation 1: 2x + y = 8

Equation 2: x + y = 5

Step 1: Multiply Equation 2 by 2:

2(x + y) = 5(2)

2x + 2y = 10

Step 2: Subtract Equation 1 from the equation derived from Step 1, 2x + 2y = 10:

2x + 2y = 10

- 2x + y = 8

y = 2

Step 3: Plug in y = 2 into Equation 1, 2x + y = 8 to solve for x:

2x + y = 8

2x + (2) = 8

Step 4: subtract both sides of the equation by 2 to isolate x:

2x + 2 - 2 = 8 - 2

2x = 6

Step 5: Divide both sides of the equation by 2 to solve for x:

$\frac{2x}{2} = \frac{6}{2}$

x = 3.

The solutions are: x = 3, y = 2.

1. Inconsistent

2. Inconsistent

3. Consistent (infinitely many solutions)

3 0

3 years ago

Y=-6x + 5 x - y = 5

rodikova [14]

Answer:

y = $\frac{-25}{7}$ or -3.571

x = $\frac{10}{7}$ or 1.429

Step-by-step explanation:

x - y = 5

x = 5 + y

Solve for y:

y = -6x + 5

y = -6(5 + y) + 5 Substitute x with 5 + y

y = -6(5) - 6y + 5

y = -30 - 6y + 5

y + 6y = -30 + 5

7y = -25

y = $\frac{-25}{7}$ or -3.571

Solve for x:

x = 5 + y

x = 5 + -25/7

x = $\frac{10}{7}$ or 1.429

4 0

3 years ago

Read 2 more answers

The parabola y=x^2 is scaled vertically by a factor of 5/2. What is the equation of the new parabola?

Ray Of Light [21]

For this case we have the following transformation:
Assume k> 0
To graph f (x) + k, move the graph k units up.
Applying the transformation we have:
y = x ^ 2 + 5/2
Answer:
The equation of the new parabola is:
y = x ^ 2 + 5/2

4 0

3 years ago

Read 2 more answers

Determine if x − 2 is a factor of p ( x ) = x 4 − 3 x 2 + 2 x − 8 , and explain why.

Cerrena [4.2K]

Step-by-step explanation:

If x − 2 is a factor of p(x), then p(2) will equal 0.

p(x) = x⁴ − 3x² + 2x − 8

p(2) = 2⁴ − 3(2)² + 2(2) − 8

p(2) = 16 − 12 + 4 − 8

p(2) = 0

So x − 2 is indeed a factor of p(x).

8 0

3 years ago