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3 years ago

How is the equation Y= 2X similar to the equation Y = 2X +3. how is it different

Mathematics

2 answers:

Svetlanka [38]3 years ago

8 0

Answer:

2x in common (slope)

Step-by-step explanation:

similar because they both have a slope of 2

different because the 2nd equation has a y intercept of 3

Alexxx [7]3 years ago

4 0

Answer:

Step-by-step explanion:

In slope intercept form (y=mx+b) the "mx" is the slope of the line and the "b" is where the line starts out on the y axis.

So since these lines both have the same slop they are parellel to eachother (like train tracks and will never cross) Hope this helps m8 :)

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A rectangular piece of metal is 15 in longer than it is wide. Squares with sides 3 in long are cut from the four corners and the

ziro4ka [17]

Answer:

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

Step-by-step explanation:

Let

x ----> the original length pf the piece of metal

y ----> the original width pf the piece of metal

we know that

$x=y+15$ ----> equation A

The volume of the box is equal to

$V=LWH$

we have

$V=1,350\ in^3$

$L=(x-3-3)=(x-6)\ in\\W=(y-3-3)=(y-6)\ in$

$H=3\ in$

substitute in the formula of volume

$1,350=(x-6)(y-6)(3)$ ----> equation B

substitute equation A in equation B

$1,350=(y+15-6)(y-6)(3)$

solve for y

$450=(y+9)(y-6)$

$y^2-6y+9y-54=450\\y^2+3y-504=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=21

Find the value of x

$x=21+15=36$

therefore

The original dimensions of the piece of metal are

Length: 36 inches

Width: 21 inches

5 0

2 years ago

If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

denpristay [2]

Answer:

$x=14$

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if $(x-4)$ and $(y+3)$ vary inversely, their product will be the same for all values of $x-4$ and $y+3$ .

Let $x=8$ and $y=2$ as given in the problem. Substitute values:

$(8-4)(2+3)=(4)(5)=20$

Hence, the maintained product is $20$ .

Thus, we have the following equation:

$(x-4)(y+3)=20$

Substitute $y=-1$ to find the value of $x$ when $y=-1$ :

$(x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}$

3 0

2 years ago

Convert 50 degrees into radians (NEED ASAP)

MA_775_DIABLO [31]

Answer:

0.872665

Step-by-step explanation:

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3 years ago

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A feeder at the zoo in shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. Approximate its hei

umka2103 [35]

Answer:

12 inches

Step-by-step explanation:

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Patrick already has 1 plant in his backyard, and he can also grow 1 plant with every seed packet he uses. With 40 seed packets,

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41 seed packets you do the math

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