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3 years ago

Which is the equation of a line perpendicular to the line with the equation:y = 1/4x + 2

Mathematics

1 answer:

Wittaler [7]3 years ago

4 0

Answer:

4x + y = k

Step-by-step explanation:

=> 4y = x + 8

=> x - 4y = -8

Slope = 1/4

The other line's slope = -4

4x + y = k is the answer.

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Find the tangent line equation of the curve at the given point. Y=arcsin(7x) at the point where x=sqrt2/14

Mumz [18]

Answer:

$Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

Step-by-step explanation:

The equation of the curve is

$Y = sin^{-1}(7x)$

To find the equation of tangent we need to differentiate this equation w.r.t x

So, differentiating we get

$Y'=\frac{7}{\sqrt{1-49x^2} }$

This would give the slope of the tangent line at any given point of which x coordinate is known. In the present case it is $x = \sqrt{\frac{1}{7} }$

Then slope would accordingly be

$Y'=\frac{7}{\sqrt{1-49/49} }$

= ∞

For, $x = \sqrt{\frac{1}{7} }$ , $Y = sin^{-1}(7/7)= \pi/2$

Equation of tangent line, in the point slope form, would be $Y-\frac{\pi}{2} =\frac{\pi}{2} (x+\sqrt{\frac{1}{7}})$

4 0

3 years ago

The sum of three numbers is 11 . The sum of twice the first number, 5 times the second number, and 6 times the third number is

Assoli18 [71]

Answer:

4, 6, 1

Step-by-step explanation:

We can solve this problem using a system of equations:

1) a + b + c = 11

2) 2a + 5b + 6c = 44

3) 4a - b = 10

First, we can substitute the value of b from equation #3 into equation #1:

b = 4a - 10

a + (4a - 10) + c = 11

5a - 10 + c = 11

5a + c = 21

c = 21 - 5a

Now, we can plug the values of b and c into equation #2, as b and c are represented in terms of a:

2a + 5(4a - 10) + 6(21 - 5a) = 44

2a + 20a - 50 + 126 - 30a = 44

-8a + 76 = 44

-8a = -32

a = 4

b = 4a - 10 = 4(4) - 10 = 6

c = 21 - 5a = 21 - 5(4) = 1

4 0

2 years ago

Bacteria are the most common example of exponential growth. Select a number between 2 and 10 to represent the hourly growth rate

shusha [124]

Answer:

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Which of the following expressions has a coefficient of 10 and a constant of 5

adell [148]

Answer:

sometinng like x^2+ 10x+5

The single number is the constant and the number before the variable(x) is the coefficient

Step-by-step explanation:

8 0

3 years ago

Complete these ordered pairs for this equation. (0, ), (-2, ), (4, ) y=2x

quester [9]

Answer:

Part 1) The ordered pair is (0,0)

Part 2) The ordered pair is (-2,-4)

Part 3) The ordered pair is (4,8)

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem we have a direct variation

$y=2x$

Complete the ordered pairs

Part 1) we have (0,?)

For x=0

Substitute in the equation and solve for y

$y=2(0)=0$

therefore

The ordered pair is (0,0)

Part 2) we have (-2,?)

For x=-2

Substitute in the equation and solve for y

$y=2(-2)=-4$

therefore

The ordered pair is (-2,-4)

Part 3) we have (4,?)

For x=4

Substitute in the equation and solve for y

$y=2(4)=8$

therefore

The ordered pair is (4,8)

3 0

4 years ago

Which is the equation of a line perpendicular to the line with the equation:y = 1/4x + 2​

Which is the equation of a line perpendicular to the line with the equation:y = 1/4x + 2