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3 years ago

What is the equation of the following line (0,0) and (-4,8)

Mathematics

1 answer:

Ann [662]3 years ago

8 0

the equation using the point slope formula is

y=−2x

I hope this helps! :)

-Ayden

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The length of a rectangle is 4 less than three times its width. The perimeter is 72 feet. What are the dimensions of the rectang

Liono4ka [1.6K]

Say width equals x.
Length = 3x - 4
Solve for x: 72 = 2(3x - 4) + 2x
72=6x-8+2x
80=8x
X=10
So width = 10
Length= 3(10) - 4 = 26

8 0

3 years ago

What is the solution to this equation? x-8=15 A)x=13 B)x=17 C)x=7 D) x=23

Blababa [14]

Hi there! :)

Answer:

x=23

*The answer must have a positive sign.*

Step-by-step explanation:

This lesson it's about addition property of equality.

First, you add by 8 from both sides of an equation.

$x-8+8=15+8$

And then, you add by the numbers. Simplify and solve.

$15+8=23$

Final answer: → $x=23$

Hope this helps!

Thanks!

-Charlie

Have a great day!

3 0

3 years ago

A line joins the point

Harrizon [31]

Intersection of the first two lines:

$\begin{cases}5x - 2y + 3 = 0\\4x - 3y + 1 = 0\end{cases}$

Multiply the first equation by 4 and the second by 5:

$\begin{cases}20x - 8y + 12 = 0\\20x - 15y + 5 = 0\end{cases}$

Subtract the two equations:

$(20x - 8y + 12)-(20x - 15y + 5)=0 \iff 7y+7=0 \iff y=-1$

Plug this value for y in one of the equation, for example the first:

$5x - 2\cdot (-1) + 3 = 0\iff 5x+5=0 \iff x=-1$

So, the first point of intersection is $(-1,-1)$

We can find the intersection of the other two lines in the same way: we start with

$\begin{cases}x=y\\x=3y+4\end{cases}$

Use the fact that x and y are the same to rewrite the second equation as

$x=3x+4 \iff 2x=-4 \iff x=-2$

And since x and y are the same, the second point is $(-2, -2)$

So, we're looking for a line passing through $(-1,-1)$ and $(-2, -2)$ . We may use the formula to find the equation of a line knowing two of its points, but in this case it is very clear that both points have the same coordinates, so the line must be $y=x$

In the attached figure, line $5x - 2y + 3 = 0$ is light green, line $4x - 3y + 1 = 0$ is dark green, and their intersection is point A.

Simiarly, line $x=y$ is red, line $x = 3y + 4$ is orange, and their intersection is B.

As you can see, the line connecting A and B is the red line itself.

5 0

2 years ago

Emmett bought 10 packages of cat food and 3 packages of dog food. Each package of cat food contained 10 cans, and each package o

xz_007 [3.2K]

Answer: Emmet bought 94 more cans of cat food than dog food.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The point ( 3,0) lies on a circle with the center at the origin. What is the area of the circle to the nearest hundreth

Lina20 [59]

1) Find the radius of the circle. You can do that by inspection; no work required.
2) Use the "area of a circle" formula A = pi r^2 to calculate the area.
3) Round off your area calculation to the nearest hundredth.

3 0

2 years ago