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3 years ago

What does 2(3x+5) simplify to?

Mathematics

2 answers:

schepotkina [342]3 years ago

5 0

Answer:

6x+10

hope this helps

have a good day :)

Step-by-step explanation:

tatyana61 [14]3 years ago

3 0

Answer:

6x + 10

Step-by-step explanation:

2(3x + 5)

Distribute the 2.

When distributing, multiply the outside term(s) by the inside term(s).

2 * 3x = 6x

2 * 5 = 10

Combine them to get

6x + 10.

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Find an equation in rectangular coordinates for the cylindrical equation r = 2sintheta

frutty [35]

Answer:

$x^2+(y-1)^2=1$

Step-by-step explanation:

The given cylindrical equation is

$r=2\sin \theta$

Multiply both sides by r.

$r^2=2r\sin \theta$ .... (1)

The required formulas are

$x=r\cos \theta,y=r\sin \theta,r^2=x^2+y^2$

Substitute $r\sin \theta =y,r^2=x^2+y^2$ in equation (1).

$x^2+y^2=2y$

$x^2+y^2-2y=0$

Add 1 on both sides.

$x^2+(y^2-2y+1)=1$

$(x-0)^2+(y-1)^2=1^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

It is the equation of a circle centered at (0,1) with radius 1.

Therefore, the equation in rectangular coordinates is $x^2+(y-1)^2=1$ .

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3 years ago

Write the equation of the line perpendicular to the line x - 3y = 9 and passing through the point (3,5).

PilotLPTM [1.2K]

Here is a sample problem
has to be perpendicular to y=(4/9)*x-2 and pass through 4,3,

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3 years ago

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RideAnS [48]

Answer:

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Step-by-step explanation:

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3 years ago

Your friend has $90 when he goes to the fair. He spends $5 to enter the fair and $15 on food. Rides at the fair cost $1.50 per r

ra1l [238]

Answer:

-1.5x + 70

Step-by-step explanation:

Total money he takes while going to the fair = $90

Money he spends to enter the fair = $5

Money he spends on food =$15

Total he spent now is given by

Now, he spend on rides at the fair i.e. 1.50 per ride .

Let the number of rides be x

So, cost incurred on rides = 1.5x

So, the spending money can be expressed as

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Let f(x) denotes the function used to determine the money he has left over after rides .

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f(x) = 70 - 1.50x

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3 years ago