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3 years ago

If the two lines 2x+y=0 and y=3 are plotted on a typical xy coordinate grid, at which point will they intersect?

2 answers:

8 0

To get the answer, we need to substitute 3 for y in the equation 2x + y = 0.
2x + 3 = 0
2x = -3
x = -3/2

The answer is (-3/2, 3)

If you need more explaination, just give me a comment.

erastovalidia [21]3 years ago

5 0

(-1.5,3) Y=3 which is up 3 and a horizontal line and 2x+y=0 can be written as y=-2x so in order to get -1.5 you have to make y=3 cause y=3 and when you do that it should look like 3/-2=-2/-2x so x=-1.5

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Two friends left school at the same time and drove in opposite directions. One friend averages 40 miles per hour and the other f

EastWind [94]

The two friends will be 150 miles apart, when the sum of the distances covered by the them is 150 miles.

distance = speed x time.
Let the time covered when they are 150 miles apart be x, then:
40x + 35x = 150
75x = 150
x = 150/75 = 2.

Therefore, the two friends will be 150 miles apart in 2 hours.

3 0

4 years ago

Turn 12y=8x+2 into slope intercept form

asambeis [7]

Answer:

y=2/3x+1/6

Step-by-step explanation:

6 0

3 years ago

A rectangle or exercise mat has a perimeter of 48 feet the length of the mat Is twice The lift right and solve any questions to

Misha Larkins [42]

Answer:

The equation to determine the length is $4w+2w=48$ .

The Length of the exercise mat is 16 feet.

Step-by-step explanation:

Given:

Perimeter of Rectangular mat = $48\ ft$

Let the length of the mat be denoted by 'l'

And width be denoted by 'w'.

Also Given:

The length of the mat is twice the width of the mat.

So we can say that;

$l=2w$ ⇒ equation 1

Now we know that;

Perimeter of Rectangle is equal to twice the sum of length and width.

framing in equation form we get;

$2(l+w)=48$ ⇒ equation 2

Now Substituting equation 1 in equation 2 we get;

$2(2w+w)=48$

Applying Distributive property we get;

$2\times2w+2\times w=48\\\\4w+2w=48$

Hence, The equation to determine the length is $4w+2w=48$ .

On Solving the above equation we get;

$4w+2w=48\\\\6w=48$

Dividing both side by 6 we get;

$\frac{6w}{6}=\frac{48}{6}\\\\w=8\ ft$

Now Substituting the value of 'w' in equation 1 we get;

$l=2w=2\times8=16\ ft$

Hence The Length of the exercise mat is 16 feet.

3 0

3 years ago

Describe the graph of a function g by observing the graph of the base function f ?

never [62]

Answer:

Choice 3 is your answer

Step-by-step explanation:

The format of the function when you move it side to side or up and down is

f(x) = (x - h) + k,

where h is the side to side movement and k is up or down. The k is easy, since it will be positive if we move the function up and negative if we move the function down from its original position.

The h is a little more difficult, but just remember the standard form of the side to side movement is always (x - h). If our function has moved 3 units to the left, we fit that movement into our standard form as (x - (-3)), which of course is the same as (x + 3). Our function has moved up 5 units, so the final translation is

g(x) = f(x + 3) + 5, choice 3 from the top.

5 0

3 years ago

Determine wether the ratios are proportional: 6/36 and 1/6

dangina [55]

They are proportional. If you divide 6/36 by 6 on the numerator and the denominator, you get the same fraction of 1.6.

3 0

3 years ago