Solving for Matrices

Solving For Matrices

Answers

Answer 1

Answer:

option A

[tex]\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right][/tex]

Step-by-step explanation:

Steps to write equations in augmented form

Step 1

Write the coefficients of the x-terms as the numbers down the first column

Step 2

Write the coefficients of the y-terms as the numbers down the second column

Step 3

Write the coefficients of the z-terms as the numbers down the third column

Step 4

Write the constants which are in the end of equation in fourth column

Answer 2

Answer:

a. [tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]

Step-by-step explanation:

The given matrix is

9x-4y-5z=9

7x+4y-4z=-1

6x-6y+z=-5

The augmented matrix is the coefficient matrix combined with the constant matrix.

The coefficient matrix is obtained by writing the coefficient of the variables as a matrix.

The constant matrix is obtained by writing the constants as a column matrix.

Combining the two gives the augmented matrix;

[tex]\left[\begin{array}{cccc}9&-4&-5&|9\\7&4&-4&|-1\\6&-6&1&|-5\end{array}\right][/tex]


Related Questions

Find the x and y intercepts 5x -2y =10

Answers

Answer:

x-int: (2, 0)y-int: (0, -5)

To find the x-intercept, substitute in 0 for y.

To find the y-intercept, substitute in 0 for x.

Hope this helps and hava great day!!

Answer:

x-intercept: (2,0)(2,0)

y-intercept: (0,−5)(0,-5)

Step-by-step explanation:

What is the answer to
5(3p+4r)

Answers

You need the distributive propery so you do 5 times 3p and get 15p and then 5times 4r and get 20r so 15p plus 20r

Answer:

5(3p + 4r) = 15p + 20r

Step-by-step explanation:

[tex]5(3p+4r)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\=(5)(3p)+(5)(4r)=15p+20r[/tex]

f. At Cleveland Middle School, 400 students come by bus and 300 walk or bike. Would you say it is more common for Cleveland students to ride the bus to school than for Pearson students? Explain your reasoning.​

Answers

Answer:

For cleveland Middle school we know that more students come by bus to school than bike or walking

Drew earns $65 washing 5 dogs. At this rate, how much does Drew earn washing 3 dogs?

Answers

Answer:

39

Step-by-step explanation:

the answer is 39 because you do 65/5 which gives you 13 and then you multiply 13 by 3. pls mark as brainliest

Well if you divide 65 into 5 you’ll get 13, which tells you that he gets paid $13 per dog. Now if you multiple $13 with 3 I’ll be $39. So Drew gets earns $39 for washing 3 dogs.

Answer: $39

describe the cross section of the rectangular prism

Answers

Answer:

We can say that it is a Rectangle

Step-by-step explanation:

Based on the image shown we can see the following. The Blue section is a 2D figure. We can also see that the sides cover the same length and height as the rectangular prism that encompasses it. Therefore based on the information that we gathered we can say that the cross section (blue shaded area) is a rectangle.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

The cross-section shown in a rectangular prism with the blue-shaded area is a rectangle.

Given that,

A rectangular prism with a cross-section is shown in the image.

Used the concept of rectangle which states that,

A rectangle is a two dimension figure with 4 sides, 4 corners, and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Now, by the given figure, the Blue section is a 2D figure.

And, the sides cover the same length and height as the rectangular prism

Hence, it shows a rectangle.

Therefore, the cross-section shown with the blue-shaded area in the figure is a rectangle.

To learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ6

Subtract (5x + 3) from (9x – 7).

Answers

Answer:

4i - 10

Step-by-step explanation:

9x - 7 - 5x - 3 = 4i -10

The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32

Answers

Answer:

x=15/8

Step-by-step explanation:

Inverse variation is given by

xy = k

Substituting x=5 and y=12

5*12 = k

60 =k

Our original equation is xy = 60

Now let y=32

x*32 = 60

Divide each side by 32

32x/32 = 60/32

Divide top and bottom by 4

x = 15/8

Can someone help me..............

Answers

Answer:

The fourth answer is the correct one.

Step-by-step explanation:

It cost $12 to download 3 videos, which works out to $4 per video.

Thus, k = $4/video.

The fourth answer is the correct one.

The proportional relationship is y = ($4/video)x, where x is the number of videos downloaded and $4 is the unit cost per video.

Solve the system of linear equations using linear combination.

3a + 6b = 45

2a – 2b = –12

Which is the solution to the system?

Answers

ANSWER

(1,7)

EXPLANATION

The given equations are:

1st: 3a + 6b = 45

and

2nd:2a – 2b = –12

Multiply the second equation by 3,

3rd: 6a – 6b = –36

Add the first and third equations.

6a+3a+6b-6b=45+-36

Simplify,

9a=9

a=1

Put a=1 in the second equation:

2(1) – 2b = –12

-2b=-12-2

-2b=-14

b=7

. A hawk flying at a height of 60 feet spots a rabbit on the ground. If the hawk dives at a speed of 55 feet per second, how
long will it take the hawk to reach the rabbit?
(Hint: A model for the vertical motion of a projected object is given by the equation h = -16t2 + vt + s, where h is the height
in feet, t is the time in seconds, v is the initial velocity in feet per second, and s is the starting height of the object in feet. Use
this equation to find the time taken by the hawk to reach the rabbit.

Answers

Answer:

The hawk reaches the rabbit at t=4.3 sec

Step-by-step explanation:

Let

h ----> is the height in feet

t ----> is the time in seconds

v ---> the initial velocity in feet pr second

s ----- is the starting height

we have

[tex]h=-16t^{2} +vt+s[/tex]

when the hawk reaches the rabbit the value of h is equal to zero

we have

[tex]v=55\ ft/sec[/tex]

[tex]s=60\ ft[/tex]

substitute

[tex]0=-16t^{2} +55t+60[/tex]

Solve the quadratic equation by graphing

The solution is t=4.3 sec

see the attached figure

Solve the equation for x 1/3 (6x-15) = 1/2(10x-4)

Answers

For this case we must solve the following equation for x:

[tex]\frac {1} {3} (6x-15) = \frac {1} {2} (10x-4)[/tex]

We apply distributive property to the terms of parentheses:

[tex]2x-5 = 5x-2[/tex]

We subtract 5x on both sides of the equation:

[tex]2x-5x-5 = -2\\-3x-5 = -2[/tex]

Suamos 5 on both sides of the equation:

[tex]-3x = -2 + 5\\-3x = 3\\x = - \frac {3} {3}\\x = -1[/tex]

Answer:

[tex]x = -1[/tex]

A jar of peanut butter contains 442 g with a standard deviation of 10.2 g find the probability that a jar contains less than 436 g assume a normal distribution

Answers

Answer:

7/34

Explanation:

442 subtract 10.2 is 431.8

436 subtract 431.8 is 4.2.

10.2 times two is 20.4.

4.2 out of 20.4 is 4.2/20.4

4.2/20.4 equals 7/34

Help please I have a final literally tomorrow

Answers

Answer: Choice Dsin^2(x) + 1

========================================================

Work Shown:

2sin^2(x) + cos^2(x)

2sin^2(x) + 1 - sin^2(x) .. see note below

[ 2sin^2(x) - sin^2(x) ] + 1

sin^2(x) + 1

note for step 2 above, I used the Pythagorean trig identity (or a slight variation of it) to replace cos^2(x) with 1-sin^2(x).

50 POINTS PLEASE HELP

Answers

first simplify the numerator (x+3)(x-2)=x^2-2x+3x-6=x^2+x-6

now factor the numerator (x+3)(x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

((x+3)(x-2))/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

ANSWERS:

The restriction is X=2

The simplified fraction is (x+3)/3

Answer:

First simplify the numerator (x+3) (x-2) = x^2 -2x + 3x - 6 = x^2 + x-6

now factor the numerator (x+3) (x-2)

now find the restriction 3x-6=0  3x=6  x=2

now factor the denominator 3(x-2)

(x+3)(x-2)/3(x-2)

now cross off the (x-2)

and you are left with (x+3)/3

The restriction is X=2

The simplified fraction is (x+3)/3


For which equation would x = 5 be a solution?

4 x - 7 = 27
3 x + 6 = 21
12 - 2 x = 13
7 + 6 x = 27

Answers

Hi, it's me again!

Your answer would be B.

3x + 6 = 21

3(5) + 6

15 + 6

21 = 21

Answer:b is your best bet

Step-by-step explanation:

Anyone wanna do brainliest for brainliest ?

Answers

Thank you for giving me brainliest

Answer:

can i have brainliest please? i will do brainliest for brainliest please

What is the measure of ∠ADC?

A) 42°

B) 47°

C) 121°

D) 131°

Answers

Answer:

D.131 Add both angles together 89+42=131

The answer is 131 you have to add the two angles together

Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.

Answers

Answer:

[tex]y-1=3(x-2)[/tex]

Or

[tex]y-4=3(x-3)[/tex]

Step-by-step explanation:

The slope formula is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

The line containing (2, 1) and (3, 4)  has slope;

[tex]m=\frac{4-1}{3-2}=3[/tex]

The point-slope form is given by:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the point and slope to get:

[tex]y-1=3(x-2)[/tex]

Or

[tex]y-4=3(x-3)[/tex]

Triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2) is dilated by a scale factor of 2 to obtain triangle L′M′N′. Which statement best describes triangle L′M′N′? It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4). It is congruent to triangle LMN and has coordinates L′(12, −16), M′(8, −8) and N′(−24, 4). It is similar to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1). It is congruent to triangle LMN and has coordinates L′(3, −4), M′(2, −2), and N′(−6, 1).

Answers

ANSWER

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

EXPLANATION

The given triangle LMN with vertices L(6, −8), M(4, −4), and N(−12, 2).

If this triangle is dilated by a scale factor of 2 to obtain triangle L′M′N, then we use the rule:

[tex](x,y)\to (2x,2y)[/tex]

can be used to obtain the coordinates of

L′M′N.

[tex]L(6,-8)\to(2 \times 6,2 \times - 8)=L'(12,-16)[/tex]

[tex]M(4,-4)\to(2 \times 4,2 \times - 4)=M'(8,-8)[/tex]

[tex]N(-12,2)\to(2 \times -12,2 \times 2)=N'(-24,4)[/tex]

The cot choice is:

It is similar to triangle LMN and has coordinates L′(12, −16), M′(8, −8), and N′(−24, 4)

Answer:

A

Step-by-step explanation:

Its the one that mostly makes sense

The prism below is made of cubes which measure 1/3 of an inch on one side. What is the volume?

a. 10/9 cubic in
b. 10 cubic in.
c. 30 cubic in.
d. 10/3 cubic in

Answers

Answer:

the answer is A.  10/8 cubic in.

Step-by-step explanation:

V = LWH

length is 2 (1/3 in)

width is 3 (1/3 in)

height is 5 (1/3 in)

V = 2/3 in * 3/3 in * 5/3 in.

V = 10/9 cubic in.

The volume of the prism is 10 cubic inches, making the correct answer option b.

To find the volume of the prism made up of cubes each measuring 1/3 of an inch on one side, we first need to understand the volume of one cube.

The volume of a cube is calculated using the formula:

Volume = side³

Given that each side of the small cube is 1/3 inch, we calculate:

(1/3 inch)³ = 1/27 cubic inches

Next, we need to determine the total number of these small cubes that make up the prism. Let's assume the prism consists of 270 of these small cubes.

The total volume of the prism is calculated by multiplying the volume of one small cube by the total number of cubes:

Volume of prism = 270 × 1/27 cubic inches = 10 cubic inches

Thus, the correct answer is:

Option b. 10 cubic in.

Help please.Graphs . Thank you

Answers

Answer:

[tex]F(x)=x^2-5[/tex]

Step-by-step explanation:

The parent function is [tex]G(x)=x^2[/tex].

The function F(x) is obtained when G(x) is shifted down by 5 units.

Hence we rewrite F(x) in terms G(x).

[tex]F(x)=G(x)-6[/tex]

Therefore the required equation is;

[tex]F(x)=x^2-5[/tex]

What is the product? Assume x ≠ 0. 2x^2/3{6/x} 3x 4x 3x2 4x2

Answers

Answer:

4x

Step-by-step explanation:

The given product is;

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

This is the same as;

[tex]\frac{2x^2\times 6}{3\times x}[/tex]

We cancel out the common factors to obtain;

[tex]\frac{2x\times 2}{1\times 1}[/tex]

Multiply out to obtain;

[tex]\frac{4x}{1}[/tex]

Simplify

[tex]4x[/tex]

The second option is the correct choice.

Answer:

4x

Step-by-step explanation:

[tex]\frac{2x^2}{3}(\frac{6}{x})[/tex]

2x^2 can be written as 2*x*x

so the given expression becomes

[tex]\frac{2*x*x}{3}(\frac{6}{x})[/tex]

we cancel out x at the top and bottom

we know 6 divide by 3 is 2

[tex]\frac{2*x}{1}(\frac{2}{1})[/tex]

Now we multiply the numerator with numerator and denominator with denominator

4x

Synonyms and antonyms!

10 points!!!

Brainliest!!!

3, 4, and 5!

Super easy!!!

Answers

Answer:

3. relieve and alleviate (S)

4. loll and sprawl (S)

5. coax and cajole (S)

Hope this helps! :)

3 re·lieve

/rəˈlēv/

Learn to pronounce

verb

1.

cause (pain, distress, or difficulty) to become less severe or serious.

synonyms:alleviate, mitigate, assuage, allay, soothe, soften, palliate, appease, ease, dull, 

4 loll

/läl/

Learn to pronounce

verb

sit, lie, or stand in a lazy, relaxed way.

synonyms:lounge, sprawl, drape

5coax1

/kōks/

verb

gently and persistently persuade (someone) to do something.

synonyms:persuade, wheedle, cajole, talk into something, get round, prevail on, beguile, flatter, seduce, lure, entice, tempt, inveigle, woo, maneuver

What is the product of 2/8 and 3/5?

Answers

Multiply the top values together and the bottom values together.

(2/8)*(3/5)

=(2*3)/(8*5)

=6/40

=3/20

Hope this helps!

Answer:

3/20

Step-by-step explanation:

2    3

-- * --- = 6/40, or 3/20

8    5

You may find it easier to multiply if you write the multiplicands as shown above, instead of 2/8 and 3/5.  Then:  2 times 3 is 6, and 8 times 5 is 40.

Reduce 6/40 to 3/20, your final answer.

What is the length of segment TR?

_______ units

Answers

Answer:

8 units

Step-by-step explanation:

Using the perpendicular bisector theorem, if we know that TQ is 8 units, then RT must be 8 units as well.

Answer:

8

Step-by-step explanation:

Step 1: Find the length of segment TS (I will call this as y)

Method: Pythagoras

10² = y² + 8²

 = 100-64 = y²

y = square root of 36

y = 6

Step 2: Use the method of Pythagoras to find RT = (x)

10² = x² + 6²

x² = 100 - 36

x = 64 square root

x = 8

What outcomes are in A and B?

Answers

Answer:

D. Robin, Sparrow, Pelican

Step-by-step explanation:

They are the only animals that can do both

d, they are the only animals that can do both

Please help me, please!

Answers

Answer:

guess it's C

Step-by-step explanation:

The answer is D. There are three notebooks each weighing 1.2 pounds. If you multiply three by 1.2 it is 3.6. There are two textbooks each weighing 3.4 pounds. 2 multiplied by 3.4 equals 6.8. Therefore, if you add the weight if the textbooks (6.8) and the weight of the notebooks (3.6) it is 10.4. Therefore the answer is D. Not C.

evaluate the dot product of (8,4) and (-3,5)

Answers

ANSWER

[tex]<8,4> \bullet< - 3,5> = - 4[/tex]

EXPLANATION

The dot product of two vectors:

[tex] < a,b > [/tex]

and

[tex]< c,d> [/tex]

is

[tex] < a,b > \bullet< c,d> = ac + bd[/tex]

The given vectors are:

[tex]<8,4> [/tex]

and

[tex]< - 3,5> [/tex]

The dot product of these vectors is

[tex]<8,4> \bullet< - 3,5> = 8 \times - 3 + 4 \times 5[/tex]

[tex]<8,4> \bullet< - 3,5> = - 24 + 20[/tex]

[tex]<8,4> \bullet< - 3,5> = - 4[/tex]

Answer:

-4

Step-by-step explanation:

a p e x

Identify the transformation performed in the figure below :

Answers

Answer:

Translation

Step-by-step explanation:

You just move the shape down

Answer:

Step-by-step explanation: translation.

Translation is a term used in geometry to describe a function that moves an object a certain distance. The object is not altered in any other way. It is not rotated, reflected or re-sized. In a translation, every point of the object must be moved in the same direction and for the same distance.

What is the value of x?

Answers

Answer: 12

Step-by-step explanation:

You can use what is called geometric mean to solve this.

The hypotenuse of this triangle is split into two sections. One section corresponds to/equal to the altitude which is our "X", which corresponds to/equal to the second section.

You find "X" by using geometric mean and the proportion:

16/X=X/9

Then cross multiply to get 16 x 9= 144

then 144=x²

Solve for X.

X=12

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