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2 years ago

I’m not sure the answer. help!!

Mathematics

1 answer:

MAVERICK [17]2 years ago

3 0

Answer:

x = {-5π/4, -3π/4, 3π/4, 5π/4}

Step-by-step explanation:

You know that sec(x) = 1/cos(x), so this is equivalent to ...

cos(x) = -1/√2

The cosine has a magnitude of 1/√2 for an angle of 45°, or π/4 radians. It is negative in the 2nd and 3rd quadrants. Angles in those quadrants that have a reference angle of π/4 are ...

3π/4, 5π/4

We also want angles in the range -2π to 0, so all of the solutions will be ...

sec(x) = -√2 for x = {-5π/4, -3π/4, 3π/4, 5π/4}

We like to use the x-intercept as the solution when graphing, so we write the given equation as ...

sec(x) +√2 = 0

The graph verifies the above solutions.

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PLZZZZZZZ HELPP Which ordered pair is the solution to the system of equations? {y=2x−15} {4x+3y=−5} (5, −5) (4, −7) (0, 6) (7

Sophie [7]

solution is (4, - 7 )

given the equations

y = 2x - 15 → (1)

4x + 3y = - 5 → (2)

substitute y = 2x - 15 into (2)

4x + 3(2x - 15) = - 5

4x + 6x - 45 = - 5

10x - 45 = - 5 ( add 45 to both sides )

10x = 40 ( divide both sides by 10 )

x = 4

substitute x = 4 into (1) for corresponding value of y

y = (2 × 4 ) - 15 = 8 - 15 = - 7

solution is (4, - 7 )

8 0

2 years ago

Find f(g(x)) simplify completely f(x)= x^2+5x+2 g(x)=3x

Sindrei [870]

Answer:

f(g(x)) = 9x² + 15x + 2

Step-by-step explanation:

f(x) = x² + 5x + 2
g(x) = 3x

Solving f(g(x))

f(g(x))
f(3x)
f(3x) = (3x)² + 5(3x) + 2
f(3x) = 9x² + 15x + 2
f(g(x)) = 9x² + 15x + 2

8 0

1 year ago

Read 2 more answers

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bija089 [108]

Answer:

To get the area of a parallelogram

Step-by-step explanation:

A=bh is the formula for an area so option D is definitely wrong.

The formula for the area of a triangle is $\frac{1}{2} *b*h$ .

The formula for the area of a circle is πr²

The formula for the area of a parallelogram is A=bh

A=bh is the formula for the area of a parallelogram.

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2 years ago

887,755.93 The 5 in the tens place is the value of the 5 in the ones place.

faust18 [17]

Answer:

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Step-by-step explanation:

6 0

2 years ago

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Find the least common denominator for these fractions. Enter your answer in the space provided.

julsineya [31]

Answer:

5/12

Step-by-step explanation:

1/4 and 1/6 are fractions.

As we directly can't add fractions whenever denominators are different, so we will have to find out the Least common multiple of 4 and 6.

The LCM Of 4&6 will be 12, so we will write 12 instead of 4&6.

Now, 4*3=12, that is why we will have to multiply the numerator and denominator with 3.

1*3/4*3 = 3/12

Same thing applies to 1/6. In order to get 12 in the denominator we need to multiply 2 with numerator and denominator both.

1*2/6*2= 2/12

However, we have two new fractions with same denominator now, that is 3/12 and 2/12

We can directly add the numerators now, as we have the same denominator. So 3+2/12= 5/12 would be my final answer. (addition of like fractions)

5/12

8 0

2 years ago