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Alexus [3.1K]
3 years ago
9

What is the value of x in the equation 2(x−3)+9=3(x+1)+x?

Mathematics
2 answers:
BARSIC [14]3 years ago
8 0

Answer : 0

Step-by-step explanation:

2(x−3)+9=3(x+1)+x

2x-6+9=3x+3+x

3-3=4x-2x

0=2x

x=0

polet [3.4K]3 years ago
4 0

Answer:

0

Step-by-step explanation:

just did it

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2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).
castortr0y [4]

Let

F--------> represent the force

m--------> represent the mass

a-------> represent the acceleration

we know that

The formula that relates three quantities: Force (F), mass (m), and acceleration (a) is equal to

F=ma

<u>Part a)</u> Solve this equation for a

F=ma

Divide both sides by the mass

a=\frac{F}{m}

therefore

<u>the answer part a) is equal to</u>

a=\frac{F}{m}

<u>Part b) </u>Let the force be 25 units and the mass be m = 10 units. What is the acceleration, a?

we know that

the formula of acceleration is equal to

a=\frac{F}{m}

in this problem

we have

F=25\\m=10

Substitute the values n the formula

a=\frac{25}{10}

a=2.5

therefore

<u>the answer part b( is equal to</u>

a=2.5

<u>Part c)</u> Let the force be F = 25 units and the acceleration be a = 5 units. What is the mass, m?

we know that

F=ma

Solve for m

Divide both sides by the acceleration

m=\frac{F}{a}

in this problem

we have

F=25\\a=5

Substitute the values n the formula

m=\frac{25}{5}

m=5

therefore

<u>the answer Part c) is </u>

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5 0
3 years ago
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60 POINTSSSS Answer correctly please this depeneds on my dumb GRADE PLEASE
Maru [420]

Answer:

Option 4

Step-by-step explanation:

It's a geometric progression.

After t years,

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After 6 years,

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4 0
3 years ago
A prism, bases of which are equilateral triangles, circumscribes a sphere of radius 6. What is the volume of the prism?
koban [17]

Answer:

  1296√3 cubic units

Step-by-step explanation:

The volume of the prism will be the product of its base area and its height. Since it circumscribes a sphere with diameter 12, that is the height of the prism.

The central cross section of the sphere is a circle of radius 6, and that will be the size of the incircle of the base. That is, the base will have an altitude of 3 times that incircle radius, and an edge length of 2√3 times that incircle radius. Hence the area of the triangular base is ...

  B = (1/2)(6×2√3)(6×3) = 108√3 . . . . . square units

The volume of the prism is then ...

  V = Bh = (108√3)(12) = 1296√3 . . . cubic units

_____

<em>Comment on the geometry</em>

The centroid of an equilateral triangle is also the incenter and the circumcenter. The distance of that center from any edge of the triangle is 1/3 the height of the triangle. So, for an inradius of 6, the triangle height is 3×6 = 18. The side length of an equilateral triangle is 2/√3 times the altitude, so is 12√3 units for this triangle.

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aniked [119]

Answer:

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Step-by-step explanation:

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HELP! Quadrilateral ABCD is inscribed in the circle below.
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I don’t understand what you mean by the quadrilateral ABCD is inscribed in the circle below
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