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3 years ago

Let v1=(1, 6) and v2=(5, -3)

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Answer:

See Explanation;

Step-by-step explanation:

The given vectors are;

$v_1=\:\:$ and $v_2=\:\:$

a) To add or subtract two vectors, we add or subtract their corresponding components

$v_1+v_2=\:\:+\:\:$

$v_1+v_2=\:\:$

$v_1-v_2=\:\:-\:\:$

$v_1-v_2=\:\:$

$v_2-v_1=\:\:-\:\:$

$v_2-v_1=\:\:$

b) See attachment for graphs(1,6

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Solve the system by graphing. (Enter your answers as a comma-separated list. If the system is inconsistent, enter INCONSISTENT.

seraphim [82]

Answer:

(4,2). DEPENDENT

Step-by-step explanation:

As each equation consist on two variable, both can be represented graphically on a cartesian plane. First, each expression is rewritten in explicit form:

$y = 6 - x$ (red line) and $y = x - 2$ (blue line)

By the resource of graphing software, the solution is (4,2). The representation is presented below as attachment. As solution exists, both expression are linearly DEPENDENT.

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3 years ago

A new battery is expected to have a storage capacity of 60 ampere-hour (A h). A sample is tested, resulting in a 2-side confiden

antoniya [11.8K]

Answer:

Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %

Step-by-step explanation:

We are given the following in the question:

Mean storage capacity = 60 ampere-hour

95% confidence interval =

$63\leq \mu \leq 72$

Thus, the correct answer based on the confidence interval is

Option B) The battery storage capacity is significantly different than 60 Ah, at a confidence level of 95 %

Since it is a two sided test we test whether the mean storage capacity is 60 Ah or different than 60 Ah

Thus, the battery storage is different from 60 Ah because the mean storage capacity does not lie in the 95% confidence interval.

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3 years ago

What is the solution to the system of equations below? 2 x + 3 y = 17. 3 x + 6 y = 30. (Negative 7, 24) (3, 4) (4, 3) (24, Negat

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3 years ago

The product of the reaction between ethanal and ammonia are what.

kenny6666 [7]

Answer:

Step-by-step explanation:

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3 years ago

What is the Y intercept of the line graphed on the grid

Alenkasestr [34]

Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, $y = mx + b$ , where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4}$ .

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

$y = mx + b$

$1 = -\frac{3}{4}(6) + b$

$1 = -\frac{18}{4} + b$

$1 = -4.5 + b + 4.5$

$1 + 4.5 = -4.5 + b + 4.5$

$5.5 = b$

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

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3 years ago