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2 years ago

Sin^2 θ - secθcosθ + cos^2 θ =

Mathematics

1 answer:

ivanzaharov [21]2 years ago

4 0

Answer:

Step-by-step explanation:

sin²θ + cos²θ = 1

secθcosθ = (1/cosθ)cosθ = 1

1 - 1 = 0

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Please solve this <br>Solve by completing the square. 4x2+8x−3=0

Greeley [361]

Step-by-step explanation:

4x2+8x−3=0

For this equation: a=4, b=8, c=-3

4x2+8x+−3=0

Step 1: Use quadratic formula with a=4, b=8, c=-3.

−b±√b2−4ac

x= −(8)±√(8)2−4(4)(−3)

2(4)

x= −8±√112

8 x=−1+

1 2 √7 or x=−1+

−1 2 √7

Answer: x=−1+

1 2√7 or x=−1+

−1 2 √7

7 0

1 year ago

Solve the following proportion? 5/10 = 8/w

Kipish [7]

Answer:

Step-by-step explanation:

solve the following proportion?

5/10 = 8/w

5 : 10 = 8 : w

w = (10 * 8) : 5

w = 80 : 5

w = 16

----------------------

check

5 : 10 = 8 : 16

0.5 = 0.5

The answer is good

3 0

2 years ago

Use the functions to find x

suter [353]

Answer:

x = 14

Step-by-step explanation:

$f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14$

5 0

3 years ago

Which expression is equivalent to 36x2 − 100

slavikrds [6]

Answer:

73-1= 72

Step-by-step explanation:

6 0

2 years ago

Audrey has $111 to spend on a tennis racket and lessons. The racket costs $55 and the lessons cost $14 per hour. Define a variab

Mnenie [13.5K]

Answer:

Audrey can afford 4 hours of lesson.

Step-by-step explanation:

Given that:

Amount Audrey has to spend = $111

Cost of racket = $55

Cost per lesson = $14

Let,

y be the total cost

x be the number of hours

According to given statement;

y = 14x + 55

111 = 14x + 55

111 - 55 = 14x

14x = 56

Dividing both sides by 14

$\frac{14x}{14}=\frac{56}{14}\\x=4$

Hence,

Audrey can afford 4 hours of lesson.

7 0

2 years ago