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3 years ago

Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

The slope of this line is:

3-(-6)

m = ------------ = 1

3-(-3)

and so, using the point-slope formula for the equation of a str. line,

y-3 = 1(x-3), or y-3 = x - 3, or 1x - 3 - y + 3 = 0. Then 1x - 1y = 0 (in standard form). Alternatively, y = x (slope-intercept form).

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Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.

tiny-mole [99]

Answer:

Step-by-step explanation:

because 89-49=49 49 rouded to the nearest ten is 50

3 0

3 years ago

$22,000 divided by 18%

slavikrds [6]

18% = 18/100 = 0,18

22000/0,18 = 22000/(18/100) = (22000 . 100)/18 = 1100000/9 = 122222,2222...

So $22,000 divided by 18% is equal to $122.222,22

6 0

3 years ago

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lisov135 [29]

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3 years ago

Statuary Hall is an elliptical room in the United States Capitol in Washington, D.C. The room is also called the Whispering Gall

dalvyx [7]

Answer: a) $\frac{x^{2} }{2352.25 }$ + $\frac{y^{2} }{529}$ = 1

b) The distance of two foci is 85.4 feet

c) Area = 3502.67 square feet

Step-by-step explanation: a) An ellipse has the equation in the form of:

$\frac{x^{2} }{a^{2} }$ + $\frac{y^{2} }{b^{2} }$ = 1, where a is the horizontal axis and b is the vertical axis.

For the Statuary Hall, a = $\frac{97}{2}$ = 48.5 and b = $\frac{46}{2}$ = 23, so the equation will be

$\frac{x^{2} }{2352.25 }$ + $\frac{y^{2} }{529}$ = 1.

b) To determine the distance of the foci, we have to calculate 2c, where c is the distance between one focus and the center of the ellipse. To find c, as a, b and c create a triangle with a as hypotenuse:

$a^{2}$ = $b^{2} + c^{2}$

$c^{2} = a^{2} - b^{2}$

c = $\sqrt{48.5^{2} - 23^{2} }$

c = 42.7

The distance is 2c, so 2·42.7 = 85.4 feet.

The two foci are 85.4 feet apart.

c)The area of an ellipse is given by:

A = a.b.π

A = 48.5 · 23 · 3.14

A = 3502.67 ft²

The area of the floor room is 3502.67ft².

3 0

3 years ago

Graph the function: <br> f(x)=5/2x-6

MrMuchimi

Plug in any value for x and then you will get y. Use the coordinates to plot.
Example
x= 2
5/2(2)-6
5-6
-1
(2,-1)
Then continue to do the same.

5 0

3 years ago