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2 years ago

Give the slope perpendicular to the equation 2x-y=5

Mathematics

1 answer:

nikklg [1K]2 years ago

4 0

Answer:

- $\frac{1}{2}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - y = 5 ( subtract 2x from both sides )

- y = - 2x + 5 ( multiply through by - 1 )

y = 2x - 5 ← in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{2}$

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(a) Although neither a linear nor an exponential function would model this data perfectly, justify why an

Alinara [238K]

Answer:

hello the table related to this question is missing attached below is the missing table

answer : An exponential function is much better fit because there is no fixed rate in the table

Step-by-step explanation:

An exponential function is much better fit because there is no fixed rate in the table attached but the values in the table keeps increasing exponentially, hence an Exponential function will be a better fit, But a linear function would be preferred only if there is a fixed rate

7 0

2 years ago

What is the slope of the line passing through (-3, 5) and (5, -3)?

Slav-nsk [51]

Dy/dx, ie., the difference in y divided by the difference in x. If you have two points A and B, sort them in ascending order of x.

dx = 5 - -3 = 8 (x coordinates of B minus x coordinate of A)
dy = -3 - 5 = -8 (y coordinate of B minus y coordinate of A)

dy/dx = -1

So the slope is -1. The equation of the line is y=2-x.

5 0

3 years ago

A plane takes off from an airport and flies at a speed of 400km/h on a course of 120° for 2 hours. the plane then changes its co

butalik [34]

Answer:

Distance from the airport = 894.43 km

Step-by-step explanation:

Displacement and Velocity

The velocity of an object assumed as constant in time can be computed as

$\displaystyle \vec{v}=\frac{\vec{x}}{t}$

Where $\vec x$ is the displacement. Both the velocity and displacement are vectors. The displacement can be computed from the above relation as

$\displaystyle \vec{x}=\vec{v}.t$

The plane goes at 400 Km/h on a course of 120° for 2 hours. We can compute the components of the velocity as

$\displaystyle \vec{v_1}=$

$\displaystyle \vec{v_1}=\ km/h$

The displacement of the plane in 2 hours is

$\displaystyle \vec{x_1}=\vec{v_1}.t_1=.(2)$

$\displaystyle \vec{x_1}=km$

Now the plane keeps the same speed but now its course is 210° for 1 hour. The components of the velocity are

$\displaystyle \vec{v_2}=$

$\displaystyle \vec{v_2}=km/h$

The displacement in 1 hour is

$\displaystyle \vec{x_2}=\vec{v_2}.t_2=.(1)$

$\displaystyle \vec{x_2}=km$

The total displacement is the vector sum of both

$\displaystyle \vec{x_t}=\vec{x_1}+\vec{x_2}=+$

$\displaystyle \vec{x_t}=km$

$\displaystyle \vec{x_t}=$

The distance from the airport is the module of the displacement:

$\displaystyle |\vec{x_t}|=\sqrt{(-746.41)^2+492.82^2}$

$\displaystyle |\vec{x_t}|=894.43\ km$

8 0

3 years ago

Answer before 11:59 plzzz

Alex17521 [72]

0.0392 or 3.92%
The exponential growth formula can find the interest rate.

y - tolat value (P +I) (216)
a - principal (200)
r- rate (unkown)
x - time in years (2 yrs)
Substitute known values

divide both sides by 200

take the square root of both sides

subtract 1 on both sides
r = 0.0392 or 3.92%

5 0

2 years ago

Please help! Please help with all sections

Mrac [35]

The number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

<h3>What is an independent variable?</h3>

An independent variable simply means the variable that's changed to test the effect on the dependent variable.

Here, the number of hours spent playing video games is the independent variable and cumulative grade point average is the dependent variable.

This is because the number of hours is being used to predict cumulative grade point average.

Learn more about variables on:

brainly.com/question/25223322

#SPJ1

4 0

1 year ago