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sergeinik [125]
3 years ago
14

Write the normal form of the equation of the line passing through (1, 2) and with a normal vector n = 3 - 41. Write its general

form. + Drag and drop your images or click to browse...
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

general form of  is 3x - 4y = -5

Step-by-step explanation:

Equation pass through given point P (1,2)

And normal vector is given as  \begin{bmatrix}1\\ 2\end{bmatrix}

nX = np

\begin{bmatrix}3\\ -4\end{bmatrix} \begin{bmatrix}x\\ y\end{bmatrix}  =   \begin{bmatrix}3\\ -4\end{bmatrix}  \begin{bmatrix}1\\ 2\end{bmatrix}

\begin{bmatrix}3\\ -4\end{bmatrix}  \begin{bmatrix}x\\ y\end{bmatrix} = -5

therefore general form is written as ax + by = k

3x - 4y = -5

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Semmy [17]

Answer:

1 root

Step-by-step explanation:

A linear equation should only cross the x-axis at one point. That means there would only be 1 root. (Root is when y= 0)

6 0
3 years ago
Roberto buys a toy for $5.00. He then sells it for $4.60. Calculate his percentage loss.
s2008m [1.1K]

Answer:

8 percent loss

Step-by-step explanation:

8 0
2 years ago
The mean SAT score in mathematics, M, is 600. The standard deviation of these scores is 48. A special preparation course claims
kupik [55]

Answer:

Step-by-step explanation:

The mean SAT score is \mu=600, we are going to call it \mu since it's the "true" mean

The standard deviation (we are going to call it \sigma) is

\sigma=48

Next they draw a random sample of n=70 students, and they got a mean score (denoted by \bar x) of \bar x=613

The test then boils down to the question if the score of 613 obtained by the students in the sample is statistically bigger that the "true" mean of 600.

- So the Null Hypothesis H_0:\bar x \geq \mu

- The alternative would be then the opposite H_0:\bar x < \mu

The test statistic for this type of test takes the form

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}

and this test statistic follows a normal distribution. This last part is quite important because it will tell us where to look for the critical value. The problem ask for a 0.05 significance level. Looking at the normal distribution table, the critical value that leaves .05% in the upper tail is 1.645.

With this we can then replace the values in the test statistic and compare it to the critical value of 1.645.

t=\frac{| \mu -\bar x |} {\sigma/\sqrt{n}}\\\\= \frac{| 600-613 |}{48/\sqrt(70}}\\\\= \frac{| 13 |}{48/8.367}\\\\= \frac{| 13 |}{5.737}\\\\=2.266\\

<h3>since 2.266>1.645 we  can reject the null hypothesis.</h3>
6 0
3 years ago
Read 2 more answers
Does Y equals 3X minus to have a solution
Tcecarenko [31]

Answer:

Graph the second equation by finding two data points. By setting first x and then y equal to zero it is possible to find the y intercept on the vertical axis and the x intercept on the horizontal axis. At the point of intersection of the two equations x and y have the same values.

5 0
3 years ago
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Tara and Veronica are in charge of making a banner for the volleyball game this Saturday. How much poster paper will they need f
fenix001 [56]

Answer:

21 7/8 square feet

Step-by-step explanation:

To solve the above Question, we have to used the formula of a parallelogram

The formula is given as:

Base × Height

Base = 6 1/4 feet

Height = 3 1/2 feet

Area = 6 1/4 × 3 1/2

Area = 25/4 × 7/2

Area = 175/8

Area = 21 7/8 ft²

Therefore, they would need 21 7/8 square feet poster paper for the parallelogram shaped banner

7 0
2 years ago
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