All categories

2 years ago

What is the slope of a line perpendicular to the line whose equation is 4x−10y=404x−10y=40. Fully simplify your answer.

Mathematics

1 answer:

Anna007 [38]2 years ago

5 0

Answer:

$- \frac{5}{2}$

Step-by-step explanation:

4x -10y= 40

Let's rewrite this equation in the slope-intercept form (y= mx +c) so that we can obtain it's slope.

10y= 4x -40

Divide both side by 10:

$y = \frac{2}{5} x - 4$

The product of the gradients of perpendicular lines is -1.

⅖(gradient of line)= -1

Gradient of perpendicular line

$= - 1 \div \frac{2}{5}$

$= - 1 \times \frac{5}{2}$

$= - \frac{5}{2}$

You might be interested in

Use a half-angle identity to find the exact value of sinPi/8

stellarik [79]

Answer:

sin(π/8) = (1/2)√(2-√2)

Step-by-step explanation:

Using the half-angle formula ...

$\sin{\dfrac{\theta}{2}}=\sqrt{\dfrac{1-\cos{\theta}}{2}}$

We can let θ = π/4 and simplify the result as follows:

$\sin{\dfrac{\pi}{8}}=\sqrt{\dfrac{1-\cos{(\pi/4)}}{2}}=\sqrt{\dfrac{1-\dfrac{\sqrt{2}}{2}}{2}}=\sqrt{\dfrac{2-\sqrt{2}}{4}}\\\\=\boxed{\dfrac{1}{2}\sqrt{2-\sqrt{2}}}}$

5 0

2 years ago

Read 2 more answers

Can someone help me ? i have no clue how to figure this out

Ad libitum [116K]

$\cos t (\sec t - \cos t) = \sin^2 t$

$\cos t (\dfrac{1}{\cos t} - \cos t) = \sin^2 t$

$\dfrac{\cos t}{\cos t} - \cos^2 t = \sin^2 t$

$1 - \cos^2 t = \sin^2 t$

Use the identity: $\sin^2 t + \cos^2 t = 1$ and solve for $\sin^2 t$ . You get: $\sin^2 t = 1 - \cos^2 t$

Do the substitution on the left side to get:

$\sin^2 t = \sin ^2 t$

5 0

2 years ago

Read 2 more answers

"Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through

Stella [2.4K]

Answer:

it is not necessary to confirm that the sample data appear to be from a population with a normal distribution;

D. Because the sample size of 50 is greater than 30, it can be assumed that the sample mean is from a population with a normal distribution

Step-by-step explanation:

Normal distribution which is otherwise known as the Gaussian distribution, it is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

The arithmetic mean or average; is the sum of a collection of numbers divided by the total numbers in the collection.

6 0

3 years ago

The cereal box shown below is a rectangular prism. Find the surface area of the cereal box. \text{ cm}^2 cm 2 start text, space,

kogti [31]

Answer:

1070 cm.

Step-by-step explanation:

Its correct for Khan Academy:)

3 0

3 years ago

Read 2 more answers