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4 years ago

What is the solution to the system of equations represented by these two lines?

Mathematics

1 answer:

Liono4ka [1.6K]4 years ago

3 0

The solution of two equations/lines is their intersect point.
Therefore, there can only be one intersection point/solution, because these lines are neither parallel or identical.
In the graph you can see that they intersect at (x,y)=(2,3) which is your solution and option b or d as one of them seems to be mistyped :)

@question2
y=kx+b

both your equations share the same k=-2:
y=-2x+3
y=-2x-1

therefore these lines are parallel and don't have any intersection as they are always at different y values (the b)

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18÷90.54 I need help I have I minute!!!

Tcecarenko [31]

0.19880716 should be your answer
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3 years ago

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Find the perimeter of a polygon with vertices at A(0, 1), B(4, 4), C(7, 0), D(3, -3), E(-4, -4). Round your answer to the neares

wlad13 [49]

It's interesting that areas from coordinates are much simpler than perimeters from coordinates. It's almost like math is telling us area is more fundamental than length.

p = AB+BC+CD+DE+EA

We use the Pythagorean theorem, square root form, on all the sides. We can skip a lot of the square roots because most of these are the hypotenuse of a 3/4/5 right triangle.

B-A=(4-0, 4-1)=(4,3) so length AB=5

C-B=(7-4,0-4)=(3,-4), so again BC=5

D-C=(3-7, -3-0)=(-4,-3) so again CD=5

E-D=(-4-3, -4 - -3) = (-7, -1). Ends our streak. DE=√(7²+1²)=√50=5√2.

A-E=(0 - -4,1 - -4)=(4,5) so EA=√(4²+5²)=√41.

Three of five were 3/4/5.

p = 5+5+5+5√2+√41 = 15+5√2+√41

I hate to ruin a nice exact answer with an approximation.

p ≈ 28.474192049298324

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3 years ago

If x is directly proportional to to y and x= 200 and y=3 find x when y=5

Amiraneli [1.4K]

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

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2 years ago

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4

Alecsey [184]

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4

☆☆☆☆☆☆1/2
2
4
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Y=kx where k is the constant proportionality
y=kx
(1)=k(2)
1/2=k2/2
1/2=k

6 0

4 years ago

PLEASE HELP 20 POINTS!

Blizzard [7]

Answer:

Option D

Step-by-step explanation:

According to the image description provided:

Term one starts with one dot. One is an odd number.

If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.

For example:

$3+2 =5$

Three is an odd number. If you add two to it, you would get five, which is another odd number.

Term two has 3 dots, term three has 5 dots, term four has 7 dots.

So, all terms should be odd.

Option D should be the correct answer.

7 0

3 years ago