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3 years ago

What is the slope of the line shown in the graph?-2-1-1/21/2

Mathematics

2 answers:

strojnjashka [21]3 years ago

8 0

The answer is -1/2 becuase slope on a graph is rise/run

daser333 [38]3 years ago

7 0

$\sf Slope = \frac{y_2-y_1}{x_2-x_1} = \frac{2-1}{-2-0} = \frac{1}{-2} = \huge{\boxed{-\frac{1}{2}}}$

Your answer is -1/2

You might be interested in

Alexa is $33,000 in her first year of teaching and earns a 4% increase in each successive year. Write a geometric series formula

sergeinik [125]

Answer:

Step-by-step explanation:

Alexa earns $33,000 in her first year of teaching and earns a 4% increase in each successive year. This means that for each year, her income is 104% of the previous year. So the rate of increase is 104/100 = 1.04. This rate is in geometric progression. The formula for the sum of n terms of a geometric sequence is expressed as

Sn = a(r^n - 1)/r-1

Where

Sn is the nth term

a is the first term

n is the number of terms.

r is the rate or common ratio

From the information given,

a = 33000

r = 1.04

The formula for Alexis total earning over n years will be

Sn = 33000(1.04^n - 1)/(1.04 - 1)

Her earnings for the next 15 years would be

S15 = 33000(1.04^15 - 1)/(1.04 - 1)

S15 = 33000(0.8009) / 0.04

S15 = $668167.50

5 0

4 years ago

The equation for line A is given by Y=1/3x+4.Suppose line A is parallel to line B and line T is perpendicular to line A. Point (

Dovator [93]

Answer:

see explanation

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 )

y = $\frac{1}{3}$ x + 4 ← is in slope- intercept form

with m = $\frac{1}{3}$

(a)

Parallel lines have equal slopes, thus

y = $\frac{1}{3}$ x + c ← is the partial equation of line B

To find c substitute (- 3, 1) into the partial equation

1 = - 1 + c ⇒ c = 1 + 1 = 2

y = $\frac{1}{3}$ x + 2 ← equation of line B

(b)

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

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{\frac{1}{3} }$ = - 3, thus

y = - 3x + c ← is the partial equation of line T

To find c substitute (- 3, 1) into the partial equation

1 = 9 + c ⇒ c = 1 - 9 = - 8

y = - 3x - 8 ← equation of line T

4 0

3 years ago

Read 2 more answers

Can somebody help me find the missing one

aleksklad [387]

The one missing is the fourth choice.

As you can see, the x axis stands for the weight, and the y axis the total cost.

You can see that the point, (1, 4) definitely exists.

So basically it would be 1 pound of cheese for four dollars, since x is weight and y is total cost.

You can see the fourth choice states that it's four dollars for one pound of cheese.

Hope this helped :)

8 0

4 years ago

A basketball tosses a ball to a teammate. The ball reaches a maximum height of 11 feet 3 seconds after it was released. If the b

labwork [276]

Answer:

h = - 16t² + 49.67t + 6

Step-by-step explanation:

The expression for the height of the basketball, h at time, t is given by

h - h₀ = u₀t - 1/2gt² where h₀ = initial height of ball = 6 feet, h = maximum height of ball = 11 feet, u₀ = initial vertical velocity of ball, t = time taken to reach maximum height = 3 s and g = acceleration due to gravity =9.8 m/s².

We need to find u₀ from u = u₀ -

So, h - h₀ = u₀t - 1/2gt²

h - h₀ + 1/2gt² = u₀t

u₀ = (h - h₀)/t + 1/2gt

substituting the values of the variables into the equation, we have

u₀ = (h - h₀)/t + 1/2gt

u₀ = (11 ft - 6 ft)/3s + 1/2 × 32 ft/s² × 3 s

u₀ = 5 ft/3s + 1/2 × 96 ft/s

u₀ = 1.67 ft/s + 48 ft/s

u₀ = 49.67 ft/s

Using h - h₀ = u₀t - 1/2gt² where h is the height of the basketball at time, t

h = u₀t - 1/2gt² + h₀

substituting the values of the variables into the equation, we have

h = u₀t - 1/2gt² + h₀

h = (49.67ft/s)t - 1/2(32 ft/s²)t² + 6 ft

h = 49.67t - 16t² + 6

h = - 16t² + 49.67t + 6

3 0

3 years ago

Train travels at 3 hours if it's speed is 65 miles per hour. It takes the train 2.5 hours if it's speed is 78 per hour . Identif

seraphim [82]

Step-by-step explanation:

Let the original speed of the train be x km/h.

Time taken to cover a distance of 360 km = 360/x hours.

New speed of the train = (x+5) km/h.

Time taken to cover a distance of 360 km at new speed = 360/x+5 hours.

Since, the train takes 1 hour less time,

∴360/x - 360/ x+5 = 1

⇒360 (5) = x² + 5x

⇒1800 = x² + 5x

⇒x² + 5x - 1800 = 0

⇒x² + 45x - 40x - 1800 = 0

⇒x (x+45) - 40( x +45) = 0

⇒(x+45) (x-40) = 0

⇒x = (-45), 40

But since speed cannot be in negative.

∴x = 40 km/hr.

Hence, the original speed of the train is 40 km/h.

3 0

3 years ago

Read 2 more answers