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3 years ago

An equivalent expression to x-2y+3

Mathematics

2 answers:

8_murik_8 [283]3 years ago

6 0

Something x -2xsomething+3

marishachu [46]3 years ago

4 0

Answer:

$y=\frac{-x-3}{-2}$

Step-by-step explanation:

1. The first thing you should do is put it equal to 0:

$x-2y+3=0$

2. You want to get y by itself so the next thing you do is subtract 3 to the other side because it is being added right now. It should look like this:

$x-2y+3=0$

-3 -3

$x-2y=-3$

3. Since x is also being added on the left side of the equation you want to get x to the other side so you do the opposite of addition (subtraction) and subract the x to the other side of the equation:

$x-2y=-3$

-x -x

$-2y=-x-3$

4. The next thing you want to do is get rid of that -2. Right now it is being multiplied by the y and the opposite of multiplication is division, so you are going to want to divide -2 by both sides of the equation.

$\frac{-2y}{-2} =\frac{-x-3}{-2}$

5. The -2's cancel out and the right side of the equation cannot be simplified anymore which makes the new or equivalent equation:

$y=\frac{-x-3}{-2}$

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[need math help] Study buddies part #2

rosijanka [135]

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

$\displaystyle \text{Displacement}=\int_a^bv(t)\, dt$

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

$\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt$

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

$\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt$

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

$\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}$

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

$\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}$

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

$\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}$

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

$\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}$

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

$\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt$

In other words, all of our values are now positive. We will utilize the same strategy:

$\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt$

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

$\displaystyle \text{Distance} =5.6+1.5+2.4=9.5$

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

6 0

3 years ago

Sari has 3 times as many pencil erasers asSam. Together they have 28 erasers. How many erasers does Sari have?

wel

3x +x = 28

4x = 28

x = 28/4 = 7

7x3 = 21

Sari has 21 erasers

4 0

3 years ago

You serve a volleyball with a mass of 2 kg. The ball leaves your hand with a speed of 30 m/s. The ball has kinetic energy. Calcu

motikmotik

Answer:

900 j

Step-by-step explanation:

KE=1/2mv^2

so:

1/2x(2kg)x(30m/s)^2

is 900 joules. :)

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3 years ago

PLEASE HELP, ANSWER BOTH OR CHOOSE ON TO ANSWER

katen-ka-za [31]

Answer:

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Answer:

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