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3 years ago

Use the Substitution method to solve the system of equations 3x+4y=10 y=x-1

Mathematics

1 answer:

kifflom [539]3 years ago

5 0

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

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Given two vectors A=2i+3j+4k,B=i-2j+3k find the magnitude and direction of sum<br>(physics question)

Law Incorporation [45]

Answer:

$Magnitude =\sqrt{59} \\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}}$

Step-by-step explanation:

A=2i+3j+4k

B=i-2j+3k

Sum of the vectors:

A + B = 2i+3j+4k + i-2j+3k = 3i + j + 7k

$Magnitude =\sqrt{3^2 + 1^2+ 7^2} \\\\Magnitude =\sqrt{9+1+49} \\\\Magnitude =\sqrt{59}$

Direction of the sum of the vectors:

$\widehat{A + B} =\frac{\overrightarrow{A + B}}{Magnitude\: of \:\overrightarrow{A + B}} \\\\\widehat{A + B} =\frac{3i + j + 7k}{\sqrt {59}} \\\\\widehat{A + B} =\frac{3}{\sqrt {59}} i +\frac{1}{\sqrt {59}} j+\frac{7}{\sqrt {59}} k\\\\Direction \: of \: \overrightarrow{A + B} = \frac{3}{\sqrt {59}} , \:\frac{1}{\sqrt {59}} , \:\frac{7}{\sqrt {59}} \\\\$

3 0

3 years ago

1/5 divided by 4 equals to what

Dima020 [189]

Answer:

1/5 divided by 4 equals to 0.05

7 0

2 years ago

jamal completed his math homework in 2/3 of an hour and his reading homework in 3/5 of an hour. How much time did it take him to

Assoli18 [71]

Answer:

Step-by-step explanation: We have to add how much time it took him to do all of his homework. To do this, we have to add 2/3 and 3/5.

First, we have to find a LCM between 3 and 5.

The LCM between those numbers are 15.

Next we find out what number to multiply 3 by to get 15, we multiply it by 5.

2 * 5 = 10

3 * 5 = 15

Next we find out what number to multiply 5 by to get 15, we multiply it by 3.

3 * 3 = 9

5 * 3 = 15

10/15+9/15=19/15

We are left off with 1 4/15

So it took him 1 hour and 4/15 minutes to do his homework.

3 0

3 years ago

Imagine that the average weight of a total of 500 girls in a high school is 35kg. Tom randomly sampled 10 girls and measured the

Naddik [55]

Answer:

The sample 2 has a lowest value of SE corresponding to the least sample variability.

Step-by-step explanation:

As the value of the sample means and standard deviations are not given, as similar question is found online from which the values of data is follows

The data is as attached with the solution. From this data

Sample 1 has a mean of 34 and a SE of 5

Sample 2 has a mean of 30 and a SE of 2

Sample 3 has a mean of 26 and a SE of 3

Sample 4 has a mean of 38 and a SE of 5

As per the measure of the sample variability is linked with the value of SE or standard error. Which is lowest in the case of sample 2 .

So the sample 2 has a lowest value of SE corresponding to the least sample variability.

4 0

4 years ago

Solve the system of equations.<br> 3x 2 y = 2<br> x+7y=4

lions [1.4K]

4/7 the question is relative

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3 years ago