How would you show algebraically that the quadrilateral with vertices at A(-1, 3) B(3, 5) C(4, 3) D(0, 1) is a rectangle.

Find a set of parametric equations for the line of intersection of the planes x-3y+6z=4 5x+y-z=4

Inessa05 [86]

Answer:

Step-by-step explanation:

Two equations of planes are given.

We have to find the equation of the line which is formed by intersection of these two planes in parametric form

$x-3y+6z=4 \\5x+y-z=4$

Let us eliminate one variable

Multiply I equation by 5 and subtract II from 5 * I

$5x-15y+30z=20 \\5x+y-z=4$

$-16y+31z=16 \\$

$16y+16 = 31z$

Or $y+1 =\frac{31z}{16}$

Consider II equation

5x+y-z=4

$5x+\frac{31z}{16}-1 -z=4\\5x+\frac{15z}{16}=5\\x=\frac{3z-16}{16}$

Let z=z

x = \frac{3z-16}{16} and y = \frac{31z}{16}-1

3 0

3 years ago

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Rewrite the equation in slope-intercept form 5x - 6y = 12

inessss [21]

Answer:

M = $\frac{5}{6}$ Is correct answer

Step-by-step explanation:

Write in slope-intercept form, y = m x + b.

m = $\frac{5}{6}$

Graph in pic

(Hope this helps can I pls have brainlist (crown)☺️

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8 0

3 years ago

Helllllp >_< Compare: 1.2057 O 1.1421

vladimir2022 [97]

Answer:

Widal Kit Salmonella Ha, Hb, Hc, Hd, OA, OB, OC, OD

Rapid Labs Widal antigen set contains ready to use concentrated smooth antigen suspensions of the bacilli; S. typhi ‘O’. S. typhi ‘H’. S, paratyphi ‘AO’. S. paratyphi ’BO‘. S. paratyphi ’AH’, S. paratyphi ‘BH’. S. paratyphi ‘CH’. S. paratyphi ‘CO’ and/or polyspecific positive control reactive with these antigens.

When the Widal antigen suspensions are mixed and incubated with the patient’s serum, anti salmonella antibodies present in the patient serum react with the antigen suspensions to give agglutination. Agglutination is a positive test result, indicating presence of anti-salmonella antibodies in the patient serum. No agglutination is a negative test result indicating absence of anti-salmonella antibodies.

Pack size – 8 x 5ml

This kit does NOT contain positive and negative controls

Widal Kit Salmonella Ha, Hb, Hc, Hd, OA, OB, OC, OD

Rapid Labs Widal antigen set contains ready to use concentrated smooth antigen suspensions of the bacilli; S. typhi ‘O’. S. typhi ‘H’. S, paratyphi ‘AO’. S. paratyphi ’BO‘. S. paratyphi ’AH’, S. paratyphi ‘BH’. S. paratyphi ‘CH’. S. paratyphi ‘CO’ and/or polyspecific positive control reactive with these antigens.

When the Widal antigen suspensions are mixed and incubated with the patient’s serum, anti salmonella antibodies present in the patient serum react with the antigen suspensions to give agglutination. Agglutination is a positive test result, indicating presence of anti-salmonella antibodies in the patient serum. No agglutination is a negative test result indicating absence of anti-salmonella antibodies.

Pack size – 8 x 5ml

This kit does NOT contain positive and negative control

Step-by-step explanation:

6 0

3 years ago

65% of 150 estimate percent

Ksju [112]

Answer:

97.5

Brainliest answer pls

Step-by-step explanation:

7 0

3 years ago

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Identify each number as prime or composite.Then list all of it's factors

azamat

Prime numbers : 3, 29
Factors of 3 : 1, 3
Factors of 29 : 1, 29
Composite numbers : 6, 15, 24
Factors of 6 : 1, 2, 3 , 6
Factors of 15 : 1, 3 , 5, 15
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24

3 0

3 years ago