5. Solve the following system using Gauss-Jordan Elimination. Indicate all row
operations and show all steps.
3x + 4y + 2z = 3
4x – 2y - 8z = -4
x + y - z= 3

9514 1404 393

Answer:

  a = 8; b = -9

Step-by-step explanation:

Filling in the given values gives you two equations.

  7 = a(2) +b

  -1 = a(1) +b

Subtracting the second equation from the first gives ...

  (7) -(-1) = (2a +b) -(a +b)

  8 = a . . . . . simplify

Using this value in the first equation gives ...

  7 = (8)(2) +b

  b = 7 -16 = -9

The constants are a = 8, b = -9.

Answer:

(½) × diagonal length × sum of the length of the perpendiculars drawn from the remaining two vertices.

Step-by-step explanation:

or you can solve for the area of the rectangle then the area of the triangle and add them together

Answer:

The ratio of approved and disapproved people in its simplest form is 3:1.

Step-by-step explanation:

Since 81 people passed and 27 failed their Functional Skills Level 2 exams, to write this as a ratio in its simplest form, the common greatest divisor of both numbers must be obtained:

27 is divisible by 1, 3, 9 and 27

81 is divisible by 1, 3, 9, 27 and 81

Therefore, the common greatest divisor of both numbers is 27. So, since 27/27 is equal to 1, and 81/27 is equal to 3, the ratio of approved and disapproved people in its simplest form is 3 :1.

The ratio in its simplest form is 1 : 3.

Ratio expresses the relationship between two numbers. It is the frequency with which a number is contained in another number. The sign used to represent ratio is ':'.

In order to express the given number of people that passed and failed the exam, we have to divide both numbers by the highest common factor until both numbers cannot be divided further to yield a whole number.

Common factor of 27 and 81 = 1, 3, 9, 27

Highest common factor = 27

Expressing in the simplest form = 1 : 3

To learn more about ratios, please check: https://brainly.com/question/25927869

Answer:

Step-by-step explanation:

1. 70 deg (compliment angle of 110 deg.)

2. 65 deg (compliment angle of 115 deg.)

3. 65 deg (corresponding angle of angle 2)

4. 115 deg (corresponding angle of 115 deg.)

5. 45 deg (angles 1+3+5 = 180 deg. as sum of internal angles in a triangle)

6. 45 deg (alternate angle of angle 5)

7. 45 deg (corresponding angle of angle 5)

1. No correlation

Those things don't really relate to each other.

2. Positive correlation

The more you drive your car, the more you'll have to pay for gas.

3. Negative correlation

More people = less soda.

Answer:

[tex]15\frac{13}{21}[/tex]

Step-by-step explanation:

[tex]answer[/tex]

Equalizing the denominator

Likening retailers can be done by calculating the frequency from numbered fractions. Based on examples calculated by pec from 4/3 and 5/3 = 34/4

#semogamembantu

Answer:

The line is a vertical line, which does not have a slope.

Step-by-step explanation:

Slope of a line:

Suppose we are given two points in the format (x,y) of a line. The slope is given by the change in y divided by the change in x.

(6,6) and (6, -7).

Change in y: -7 - 6 = -13

Change in x: 6 - 6 = 0

Slope is a division by 0, which means that the line is a vertical line, which does not have a slope.

Answer:

21) Scalene - Right triangle, 22) Scalene - Right triangle, 23) Equilateral - Acute triangle, 24) Isoceles - Obtuse triangle, 25) Scalene - Right triangle.

Step-by-step explanation:

21) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

22) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

23) This triangle has three sides of same length and three acute angles: Equilateral - Acute triangle.

24) This triangle has two sides of same length and an obtuse angle and two acute angles: Isoceles - Obtuse triangle.

25) This triangle has three sides of distinct length and a right angle and two acute angles: Scalene - Right triangle.

Answer:

36

Step-by-step explanation:

8+7(4)

8+28

36

Answer:

m, c, and l

Step-by-step explanation:

Answer:

the answer to the question is 3%

Answer:

the answer to the range should be 22 but i do not have the interquartile range :(

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

trust me :D

Answer:

In photo

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: x = 12

Step-by-step explanation:

subtract 8 on both sides (12-8=4)

now we have 1/3x = 4

multiply 3 on both sides (4 x 3 = 12)

now we have x = 12

Answer:

am afraid am going to do a cooked method.this is the only way I can help please forgive me.

Step-by-step explanation:

answer is 5.9

Answer:

the answer is 11.025

Answer:

Pregunta muy difícil, no creo que pueda resolver este amigo.

Step-by-step explanation:there is no step-by-step thing because honestly don't understand what your trying to say here. Hmm...

Step-by-step explanation:

We will use pythagoras' Theorem for this question

[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

[tex] {c}^{2} = {10.6}^{2} + {16.8}^{2} \\ {c}^{2} = 112.36 + 282.24 \\ {c}^{2} = 394.6 \\ c = \sqrt{394.6} \\ = \frac{ \sqrt{9865} }{5} inches[/tex]

Answer:

5 miles

Step-by-step explanation:

they all ran 5 miles

Answer:

a part, share, or number considered in comparative relation to a whole.

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

1= 240. 2= 1800

girl I suck at this but basically I just multiplied the base and the width then i multiplied the height bye the product of the base and width!

Please Dont Get Mad If Its Wrong.

9514 1404 393

Answer:

  15 feet

Step-by-step explanation:

The diagonal of a 9 ft by 12 ft rectangle is given by the Pythagorean theorem as ...

  d = √(9² +12²) = √225

  d = 15 . . . . feet

The banner should be 15 feet long to match the length of the door diagonal.

Answer:

The angle F of the triangle DEF measures 105 degrees.

Step-by-step explanation:

Given that triangle DEF has an angle D measuring 25 degrees and an angle E measuring 50 degrees, to determine what is the measure of angle F in degrees, knowing that the sum of the internal angles of every triangle gives a total of 180 degrees, we must perform the following calculation:

180 - 50 - 25 = F

130 - 25 = F

105 = F

Therefore, the angle F of the triangle DEF measures 105 degrees.

Answer:

20%

Step-by-step explanation:

1/5 = 20/100 = 20%

Answer:

1/5

Step-by-step explanation:

probability- number of favorable outcomes/ number of total outcomes

in this question,

number of favorable outcomes is 1.

and, the number of total outcomes is 5.

so, probability of spinning and landing on 5 is 1/5.

Answer:

harmonica’s

Step-by-step explanation:

because it’s talking about multiple and it has apostrophe and an s

Answer:

I dont know.

Step-by-step explanation:

sorry

Answer:

the answer is 8

Step-by-step explanation:

5 times 3 is 15

4 plus 3 is 7

15 minus 7 is 8

Answer:

90°

Step-by-step explanation:

Area of triangle with sides a and b and included angle Θ:

A = (1/2)ab * sin Θ

dA/dx = (1/2)ab cos Θ

(1/2)ab cos Θ = 0

cos Θ = 0

Θ = 90°

Answer:

2

Step-by-step explanation:

Velocity/Time, or 8/4 equals 2.

Hope this helps!