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2 years ago

How many solutions does this system have? 6x+3y = 9 2x + y = 3

Mathematics

1 answer:

Lerok [7]2 years ago

4 0

Answer:

The system of equation has infinite solution.

Step-by-step explanation

2x + y = 3

6x = 9 – 3y

First we re-write the second equation in standard form

So, we add 3y both sides

6x+3y=9 ---------------- (2)

2x+y = 3----------------- (1)

3(2x)+3y = 3(3)

6x+3y=9

6x-6x + 3y-3y = 9-9

0=0

LHS=RHS

This is true statement. If statement is true then infinite number of many solution.

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Answer:

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Step-by-step explanation:

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3 years ago

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• The shortest side of a triangle is 8 centimeters long. The longest side is 8 cm longer than the

gizmo_the_mogwai [7]

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3 years ago

30 POINTS AVAILABLE

kherson [118]

Answer:

$\large\boxed{(x-2)^2+(y-1)^2=34}$

Step-by-step explanation:

The equation of a circle in standard form:

$(x-h)^2+(y-k)^2=r^2$

(h, k) - center

r - radius

We have the endpoints of the diameter: (-1, 6) and (5, -4).

Midpoint of diameter is a center of a circle.

The formula of a midpoint:

$\left(\dfrac{x_1+x_2}{2};\ \dfrac{y_1+y_2}{2}\right)$

Substitute:

$h=\dfrac{-1+5}{2}=\dfrac{4}{2}=2\\\\k=\dfrac{6+(-4)}{2}=\dfrac{2}{2}=1$

The center is in (2, 1).

The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.

The formula of a distance between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points (2, 1) and (5, -4):

$r=\sqrt{(5-2)^2+(-4-1)^2}=\sqrt{3^2+(-5)^2}=\sqrt{9+25}=\sqrt{34}$

Finally we have:

$(x-2)^2+(y-1)^2=(\sqrt{34})^2$

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3 years ago

I need help showing work for 44756/167

ra1l [238]

Answer:

See the second attachment for long division by hand. The first attachment shows the "work" I would usually do.

Step-by-step explanation:

In college math, you are generally expected to be able to make use of a scientific and/or graphing calculator. Division is one of the simpler operations these devices can perform.

If you are doing long division by hand, use the method you were taught in 3rd or 4th grade. The one shown is one of several different methods being taught now.