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3 years ago

Simplify the expression 4x + 9y + 3(x+y)

Mathematics

2 answers:

brilliants [131]3 years ago

7 0

Answer:

Step-by-step explanation:

4x+9y+3x+3y

=7x+12y

vova2212 [387]3 years ago

7 0

Answer:

Simplifying the expression 4x + 9y + 3(x+y) will give us 7x + 12y

Step-by-step explanation:

To simplify this expression;

4x + 9y + 3(x+y)

First, we will start by opening the bracket, so the expression becomes;

4x + 9y + 3x + 3y

Then we will re-arrange the expression

4x + 3x +9y +3y

We will add the the numbers with x- coefficient together and also we will add the number with y-coefficient together. that is;add 4x and 3x together to give us 7x, also add 9y and 3y together to give us 12y

4x + 3x +9y +3y

7x +12y

we can no longer simplify anymore, so our answer is 7x + 12y

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First-order linear differential equations

kkurt [141]

Answer:

$(1)\ logy\ =\ -sint\ +\ c$

$(2)\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Step-by-step explanation:

1. Given differential equation is

$\dfrac{dy}{dt}+ycost = 0$

$=>\ \dfrac{dy}{dt}\ =\ -ycost$

$=>\ \dfrac{dy}{y}\ =\ -cost dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{y}}\ =\ \int{-cost\ dt}$

$=>\ logy\ =\ -sint\ +\ c$

Hence, the solution of given differential equation can be given by

$logy\ =\ -sint\ +\ c.$

2. Given differential equation,

$\dfrac{dy}{dt}\ -\ 2ty\ =\ t$

$=>\ \dfrac{dy}{dt}\ =\ t\ +\ 2ty$

$=>\ \dfrac{dy}{dt}\ =\ 2t(y+\dfrac{1}{2})$

$=>\ \dfrac{dy}{(y+\dfrac{1}{2})}\ =\ 2t dt$

On integrating both sides, we will have

$\int{\dfrac{dy}{(y+\dfrac{1}{2})}}\ =\ \int{2t dt}$

$=>\ log(y+\dfrac{1}{2})\ =\ 2.\dfrac{t^2}{2}\ + c$

$=>\ log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

Hence, the solution of given differential equation is

$log(y+\dfrac{1}{2})\ =\ t^2\ +\ c$

8 0

3 years ago

Joseph drives 125 miles in 2 and 1/2 hours. At the same rate,how far will he be able to travel in 6 hours

pshichka [43]

300 miles You would do 125/2.5= 50 Then you a would do 50*6=300

3 0

2 years ago

Determine if the triangles, CEG and DEF ,are similar. If so, identify the similarity

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

AA similarity means 2 angles must be similar.

Angle 1: Angle E is the same for both triangles

Angle 2: Angle F and angle G are congruent because they both have right angle markings so they are both 90 degrees.

8 0

3 years ago

Simplify: a+2a+3a+4a

kolezko [41]

Since all of these numbers have the same variable they can all be added up to get a sum of 10a which is its simplified form.

5 0

2 years ago

Read 2 more answers

Question 2.

ipn [44]

Answer:

1) -0.669

2) -0.669

3) 0.669

Step-by-step explanation:

Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.

Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.

Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.

If theta=70:

1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.

2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.

3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.

3 0

3 years ago