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3 years ago

Write the equation of a line that is parallel to 3x + Oy = -9 through the point (3, 3).

Mathematics

1 answer:

Law Incorporation [45]3 years ago

8 0

Answer:

$3x-y-6=0$

Step-by-step explanation:

Given equation of the line ,

$\implies 3x + 0y = -9$

Convert it into $y = mx + c$ form ,

$\implies 0 = 3x + 9$

Hence , the

$m = 3$

As we know that the slope of parallel lines is same . Hence on using slope point form ,

$\implies y - y_1 = m(x - x_1) \\\\\implies y - 3 = 3 (x - 3) \\\\\implies y - 3 = 3x - 9 \\\\\implies 3x -9+3-y = 0 \\\\\implies 3x -y-6=0$

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Answer:

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Step-by-step explanation:

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3 years ago

Select the correct answer from each drop-down menu.

serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: $(x-4)^2+(y-8)^2=6.25$

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )$

The center is at; $(\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)$

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

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

$r=\sqrt{(4-4)^2+(10.5-8)^2}$

$r=\sqrt{0^2+(2.5)^2}$

$r=\sqrt{0^2+(2.5)^2}=2.5$

The equation of the circle in standard form is given by;

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

We substitute the center and the radius into the formula to get;

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3 years ago

4. What are the terms in the expression, 9- 4 + 3b + 7a?

Elan Coil [88]

Answer:

The terms are 9, 4, 3b and 7a.

The terms are 9 – 4 and 3b + 7a.

The terms are 9, -4, 3b, and 7a.

Step-by-step explanation:

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3 years ago