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2 years ago

A line has a slope of 2 and a y-intercept of 0 what is its equation in slope intercept form

Mathematics

2 answers:

Leto [7]2 years ago

5 0

Answer:

y = 2x

Step-by-step explanation:

Amiraneli [1.4K]2 years ago

3 0

Explanation:

Slope-intercept form is given by

, where

is the slope of the line and

is the

-intercept of the line, or the value of

where the line crosses the

-axis.

Given that the slope of the line is

, we have

, and because the line crosses the

-axis at the point

(

)

, where

and

−

, we have:

Or, equivalently,

If the point given were not the origin, you could use

to find

by plugging the

and

value of the point in for

and

in the equation along with the given slope

and solving for

Given

and

(

)

(

)

(

)

⇒

We would then put this value back into

for

, along with the slope

, yielding the same answer as above:

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Garrett works for a company that builds parking lots the graph shows the area of a parking lot based on the length of one side.

dedylja [7]

Answer: Option D.

Step-by-step explanation:

this is a quadratic equation of the form:

y = ax^2 + bx + c

First, things you must see.

The graph opens up, so we must have thata a is greater than zero, so we can discard the first option.

Second, we can see that the vertex is located in x ≈ 70

The vertex of a quadratic equation is: x = -b/2a

so we have:

70 = -b/2a

let's try our options and see if we can discard other:

-b/2a = 69.9/2 = 34.95

we can discard this option.

-b/2a = 78/2 = 39 we can discard this option.

-b/2a = 69.9/2*0.5 = 69.9

This is the only one that fits, so this is the correct option.

8 0

2 years ago

A 10-foot ladder is to be placed Against the side of the building. The base of the latter must be placed in an angle of 72° With

12345 [234]

Answer:

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

Step-by-step explanation:

Please refer to the figure attached in the answer area.

A right angled triangle $\triangle ABC$ is formed by the ladder with the building where hypotenuse is the length of ladder.

Hypotenuse, AC = 10 foot

Also, we are given that angle made by the base of ladder with the ground is $72^\circ$ .

We have to find AB and BC.

$\angle BAC = 72^\circ$

Using trigonometric functions:

$cos \theta= \dfrac{Base}{Hypotenuse}\\cos 72^\circ= \dfrac{AB}{AC}\\\Rightarrow 0.309 = \dfrac{AB}{AC}\\\Rightarrow AB = 10 \times 0.309\\$\approx$ 3.1 foot\\$\approx$ 37.2 inches$

$sin \theta = \dfrac{Perpendicular}{Hypotenuse}\\\Rightarrow sin72^\circ = \dfrac{BC}{AC}\\\Rightarrow 0.95 = \dfrac{BC}{AC}\\\Rightarrow AB = 10 \times 0.95\\$\approx$ 9.5 foot\\$\approx$ 114 inches$

Distance of foot of ladder from building: 37.2 inches

Distance of top of ladder from building's base: 114 inches

8 0

2 years ago

at a softball game you can get a bratwurst for $4.50. you have $18 to spend. write and solve an inequality to determine the numb

babunello [35]

You can only buy 4 bratwursts.

4 0

2 years ago

After living in his house for 15 years, a man sold it for Rs. 7,000 profit and purchased a new

Valentin [98]

Answer:

He paid 5,000 for the old home, which was the original price of it.

And he paid 15,000 for the new home.

Step-by-step explanation

Twice the selling price of his old one, the selling price was 7,000

7,000 * 2 = 14000.

14000 + 1000 = 15000.

15,000 is three times more than he originally paid for his old home.

n Purchased a new one for 1,000 more than twice the selling price.

8 0

2 years ago

The perimeter of a college athletic field is 100 meters and the length is 16 m more than the width. Find the length and the widt

Inga [223]

P=100
L=16+w
W=w
so we know that Perimeter is all the sides added so 2l+2w
so 100=(2(16+w))+(2(w))
100=32+2w+2w
100=32+4w
68=4w
w=17
so L=16+w therefore L=16+17 L=33
so L=33 and W=17

4 0

2 years ago