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Alex_Xolod [135]
4 years ago
3

Which function is increasing and has a constant slope?

Mathematics
1 answer:
Nuetrik [128]4 years ago
4 0

Answer:

We need to find the increasing function with constant slope.

Let us check each option one by one.

A) 6x -5y =10.

Let us solve it for y to get slope-intercept form

6x-5y =10.

-5y =-6x +10.

y =6/5 x-2.

Slope is 6/5 positive, therefore, it's an increasing function.

A linear function always has a constant slope.

Therefore, correct option is option A.

A. 6x -5y =10

All other options are incorrect.

Step-by-step explanation:

Please mark brainliest and have a great day!

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9 cos(sin¯¹(x)) = √81 – 81x²
Ira Lisetskai [31]

The equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S

To answer the question, we need to know what an equation is

<h3>What is an equation?</h3>

An equation is a mathematical expression that show the relationship between two variables.

Given 9cos(sin¯¹(x)) = √(81 – 81x²), we need to show L.H.S = R.H.S

So, L.H.S = 9cos(sin¯¹(x))

= 9[√{1 - sin²(sin¯¹(x)}] (Since sin²y + cos²y = 1 ⇒ cosy = √[1 - sin²y])

9[√{1 - sin²(sin¯¹(x)}] = √9² × √{1 - sin²(sin¯¹(x)}]

= √[9² × {1 - sin²(sin¯¹(x)}]

= √[81 × {1 - sin²(sin¯¹(x)}]

= √[81 × {1 - x²}]   (since sin²(sin¯¹(x) = [sin(sin¯¹(x)]² = x²)

= √(81 – 81x²)

= R.H.S

So, the equation 9cos(sin¯¹(x)) = √(81 – 81x²) is true since L.H.S = R.H.S

Learn more about equations here:

brainly.com/question/2888445

#SPJ1

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c ......................

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