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3 years ago

What is the answer to 4(x + 1) = -6

Mathematics

2 answers:

wariber [46]3 years ago

7 0

The answer is -5/2 because when u take 4 plus 1 equal 5 but since her negative u add negative

snow_tiger [21]3 years ago

3 0

Answer:

-5/2

Step-by-step explanation:

With Distributive property, we get 4x + 4 = -6. Subtract 4 from both sides and we get 4x = -10. Divide both sides by 4 and we get x = -5/2.

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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

The equation a = 640s gives the relationship between s square miles and a acres. James owns 2.5 square miles of farmland. How ma

larisa [96]

This would be a question that would involve division.

We do: (1,600 ÷ 4) and therefore, this would give us $a= 640s$ just as we were looking for, and therefore, B would be your correct answer.

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3 years ago

Read 2 more answers

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s344n2d4d5 [400]

You do 304 subtract 217 which equals 87

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3 years ago

32/100 simplest form

trapecia [35]

Answer:

8/25 is the simplest form