All categories

3 years ago

Justify each step used to simplify the expression (3x - 2x) + 2y + 2

Mathematics

2 answers:

dimaraw [331]3 years ago

6 0

The answer to this question is x+2y+2

I hope this helps!!!!!!

professor190 [17]3 years ago

5 0

1x +2y+2
there would be no other way to simplify it further unless they told you what x or y is

You might be interested in

A surveyer wants to find the distance from points A and B and to an inaccessible point C. These three points form a triangle. Be

Vinil7 [7]

Answer:

42.8°

Step-by-step explanation:

The sine rule states that for a triangle with lengths of a, b and c and the corresponding angles which are opposite the sides as A, B and C, then the following rule holds:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} =\frac{c}{sin(C)}$

Given that points A, B and C forms a triangle with angle A = 65°, distance from A-to-C = 90 m and the distance from B to C = 120 m.

The distance from A to C is the side opposite to angle B. Hence let b = distance from A to C = 90 m.

The distance from B to C is the side opposite to angle A. Hence let a = distance from B to C = 120 m.

Therefore using sine rule:

$\frac{a}{sin(A)}=\frac{b}{sin(B)} \\\\\frac{120}{sin(65)}=\frac{90}{sin(B)} \\\\sin(B)=\frac{90*sin(65)}{120} \\\\sin(B) =0.6797\\\\B=sin^{-1}(0.6797)\\\\B=42.8^o$

7 0

2 years ago

What is the approximate solution to the equation 3t=29 ? 0.3263 3.0650 3.3672 9.6667

Norma-Jean [14]

Answer:

9.6667

Step-by-step explanation:

3t=29

Divide each side by 3

3t/3 = 29/3

t = 29/3

Three goes into 29 nine times (3*9 = 27 ) with 2 left over

t = 9 2/3

We know 1/3 = .3 repeating

so 2/3 = .6 repeating

t = 9 .6 repeating

7 0

3 years ago

Read 2 more answers

Someone just please help me no links no guessing seriously

Doss [256]

Answer:

no I can't u just ruined my mood

8 0

3 years ago

Pls help asappppppp it is very important I need it pls

Volgvan

Given:

The graph of a proportional relationship.

To find:

The constant of proportionality, the value of y when x is 24 and the value of x when y is 108.

Solution:

If y is directly proportional to x, then

$y\propto x$

$y=kx$ ...(i)

Where, k is the constant of proportionality.

The graph of proportional relationship passes through the point (5,15).

Substituting x=5 and y=15 in (i), we get

$15=k(5)$

$\dfrac{15}{5}=k$

$3=k$

Therefore, the constant of proportionality is 3.

Substituting k=3 in (i) to get the equation of the proportional relationship.

$y=3x$ ...(ii)

Substituting x=24 in (ii), we get

$y=3(24)$

$y=72$

Therefore, the value of y is 72 when x is 24.

Substituting y=108 in (ii), we get

$108=3x$

$\dfrac{108}{3}=y$

$36=y$

Therefore, the value of x is 36 when y is 108.

5 0

3 years ago

A rocket is launched straight up from the ground with an initial velocity of 192 feet per second. The equation for the height of

Ivenika [448]

The equation for the height of the rocket at time t given

$h= -16t^2+192t$

We have to find the time t, when the rocket reaches 560 feet.

That means we have to find t when h = 560 ft. we will place 560 in the place of h to find t now.

$h= -16t^2+192t$

$560 = -16t^2+192t$

In the right side, we can check -16 is the common factor. So we will take out -16 from the rigbht side.

$560 = -16(t^2 - 12t)$

To get rid of -16 from the right side and move it to left side, we will divide both sides by -16.

$560/-16 = -16(t^2-12t)/-16$

$-35 = t^2 -12t$

Now we will move -35 to the righ side by adding 35 to both sides.

$-35+35 = t^2-12t+35$

$0 = t^2 -12t+35$

$t^2-12t+35 = 0$

We will factorize thee left side to find the values of t now. We need to find a pair of factors of 35 that by adding them we will get -12.

The pair of factors of 35 are -5 and -7 and by adding -5-7 we will get -12.

$t^2-12t+35 =0$

$(t-5)(t-7) =0$

So by using zero product property we will get

$t-5 =0$

$t-5+5 = 0+5$

$t=5$

Also $t-7 =0$

$t-7+7 = 0+7$

$t=7$

So we have got the rocket reaches at 560ft when t = 5 seconds and also when t = 7 seconds.

Now part b.

When the rocket completes its trajectory and hits the ground then the height or h = 0. So we will place h = 0 there in the equation.

$h= -16t^2+192t$

$0= -16t^2 + 192 t$

$0 = -16(t^2-12t)$

$-16(t^2-12t) = 0$

We will move -16 to the other side by dividing it to both sides.

$-16(t^2-12t)/-16 = 0/-16$

$t^2-12t = 0$

We will take out the common factor t from the left side. By taking out t we will get,

$t(t-12) = 0$

We will use zero product property now. By using that we will get,

$t = 0$

ans also $t-12 = 0$

$t-12+12 = 0+12$

$t = 12$

When the rocket completes its trajectory and hits the ground the time t can not be 0. When t =0, the rocket starts the trajectory.

So when the rocket completes its trajectory and hits the ground ,

then t = 12seconds.

So we have got the required answers.

6 0

3 years ago