What is an equation of the line that passes through the points (3, -3) and (6,-1)?

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

First multiply 2 with terms inside the matrix

[tex]\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

Now adding matrices on left side

[tex]\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right][/tex]

Now both sides are equal , so we can say that

[tex]-2x+10=-8 \ and \ 1+2y=-13[/tex]

Solving equations and finding values of x and y

Finding value of x

[tex]-2x+10=-8 \\-2x=-8-10\\-2x=-18\\x=\frac{-18}{-2}\\x=9[/tex]

Finding value of y

[tex]1+2y=-13\\2y=-13-1\\2y=-14\\y=\frac{-14}{2}\\y=-7[/tex]

So, value of x=9 and value of y= -7

Answer:

$15 in 1 hour

Step-by-step explanation:

1 hour = 60 mins

60 mins divided by 8 = 7.5

7.5 x 2 = 15

Answer:

$15 dollars an hour

Step-by-step explanation:

There are 60 minutes an hour

So you will need to divide 60 by 8

60/8= 7.5

7.5*2=15

$15 dollars an hour

Answer:

a

Step-by-step explanation:

14x+42=35

14×=35-42

14× = -7

×= -7/14

×= -1/2

Answer:

A

Step-by-step explanation:

Given f(x) = 14x + 42 and f(x) = 35, then equate right sides, that is

14x + 42 = 35 ( subtract 42 from both sides )

14x = - 7 ( divide both sides by 14 )

x = - [tex]\frac{7}{14}[/tex] = - [tex]\frac{1}{2}[/tex] → A

Answer:

In visual art, mixed media is an artwork in which more than one medium or material has been employed. ... Mixed media art, a visual art, is distinguished from multimedia art which combines visual art with non-visual elements, such as recorded sound, literature, drama, dance, motion graphics, music, or interactivity.

Step-by-step explanation:

hope this helps u, sorry if it doesn't.

Answer:

mix media is an artwork in which more than one medium or material has been employed

Answer:

360 miles

Step-by-step explanation:

60:1

1x6=6

60x6=360

360 miles to 6 hours

360 miles

Best,

SunflowerJada

Answer:

$450>$235

Step-by-step explanation:

This is because, when 235 is subtracted from 450 there is a great difference thats why $450 is greater than $235

Answer:

0.90x

By the way, I'm just answering people random questions. I'm not going to write the step by step but the answer.

Sorry :/

Answer:

THX FOR AWNSERING

Step-by-step explanation:

Answer:

up 25%

Step-by-step explanation:

it went increased by 25% from the beginning point

9514 1404 393

Answer:

  up 26%

Step-by-step explanation:

The first change multiplied the temperature by 1+5% = 1.05.

The second change multiplied that result by 1+20% = 1.20.

Then the end result was multiplication by ...

  1.05 × 1.20 = 1.26 = 1 + 26%

The temperature increased by 26%.

Answer: are We able to join them

Step-by-step explanation:

Answer:

First box is The square is made up of 4 congruent right triangles and one small square.

Second box is Moving two of the triangles changes the figure's shape, but not it's area.

Answer:

its easy...are u in 5th

Step-by-step explanation:

Answer: -2/11

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2(5) + 3(2)=

2x5=10

3x2=6

10+6=16

The value of the expression 2x+3y, when x = 5 and y = 2 is 16.

Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, we have to find the value of the expression 2x+3y,

when x = 5 and y = 2.

To obtain the value of 2x+3y, when x = 5 and y = 2 we'll substitute 5 in place of x and 2 in place of y.

2x + 3y.

= 2(5) + 3(2).

= 10 + 6.

= 16.

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Answer:

All real numbers.

Step-by-step explanation:

f(x) = -x - 2 + 2

~Combine like terms

f(x) = -x

This function does not have any constraints so x can be equal too any real number.

Best of Luck!

Answer: -2

Step-by-step explanation:

add two to both sides

X-2<0

-X<2

Times -1 to both side

X<-2

Flip the sign When you have a negative.

Yes ok.

10x+2=32

     -2     -2

10x=30

/10     /10

x=3

Your Answer is

Answer:

x=3

Step-by-step explanation:

the first step is to subtract 2 from both sides because you want to isolate the variable, and the opposite of addition is subtraction. so, you do 10x + 2 = 32, and when you subtract 2 from both, you get 10x = 30. then, because 10 and x are being multiplied together, you want to divide both sides by 10 to get x alone. so, you get x = 30/10, so x = 3.

Answer:

buy

Step-by-step explanation:

If a person wanted to buy their dream car and keep it for several years they would buy it since they wouldn't have to pay rent on the care even after they payed it off. If they were to lease they would have to pay rent for it.

If a person wanted to purchase their dream car, and keep it for many years, what they should is to: buy.

Leasing can be defined as an agreement in whereby  the lessor or the owner give out his or her property to the lessee, in which the lessen is expected to payback the lessor periodical till the full payment is made.

While buying is simply to purchase a product in exchange for cash or money.

If a person wanted to purchase a car so as to keep it for many years, the best choice is to buy instead of leasing.

The reason why buying the car would be the better option is because the overall cost of buying the car would be lesser.

After paying for the car, the owner tend to gets much more value from the car.

Inconclusion the person should buy the car.

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Answer:

x=3

Step-by-step explanation:

Answer:

-5, 4                           10, 1

Step-by-step explanation:

The correct answer would be C. The percent increase is approximately 21%

Answer:

the third answer, 21%

Step-by-step explanation:

the change was 15% and the original was 70 so,

15/70

=.21  

.21*100=21%

I hope this helped and could I get brainliest?? :)

Answer:

A equals 12

B equals 3

C equals 3+2+(-5)

E equals 4 NI

F equals -7+(-12)=19

Step-by-step explanation:

For A, you have to do the parenthesis first. I did 2+(-3) which equals -5. Then, I added the 7 to the five and got 12. The reason that it is not 12 is because the +7 is greater than the -5.

For B, I got -3 because -4 - (-1) equals 3. The reason that it is three is because when you look at the positive negative chart, you can see that negative and negative equal positive. So, the answer would be 3.

For E, I got 4 NI because when I multiplied the 2*2 I got 4 then you add the numerals Ni. I am not 100% on this problem, that is kind of my guess.

Finally for F, I got 19. My equation above explains it. Once again, you have to add the parenthesis first, so, -7+(-12) equals 19. Like I said above. If you look at the negative positive chart, the number would be positive because both numbers are negative.

I forgot C above, so here it is. For C, I got the equation above by putting the numbers together. For instance, in the problem on the side, for C, it says -10=3+2. If you just add 3+2, you are going to get 5. I added negative five to it and there you go, you get negative ten.

The first and second problems are equal because 3 goes into 12 equally.

9514 1404 393

Answer:

  $852.82

Step-by-step explanation:

Each quarter the account value is multiplied by 1+(4%/4) = 1.01. After t quarters, the account value is 1.01^t times its initial value.

This same relation works backward in time. For t = -16 quarters (4 years ago), the account value was ...

  1000(1.01^-16) ≈ 852.82

Wyatt deposited $852.82.

Answer:

0

Step-by-step explanation:

Answer:

The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = [ CI [-0.254, 0.654].

Step-by-step explanation:

The confidence interval for the true difference between the mean formula is given as:

μ1 - μ2 ± z × √(σ²1/n1 + σ²2/b2)

μ1 = Mean 1 = 4.5 hours

μ2 = Mean 2 = 4.7 hours

z = z score for 99% confidence interval = 2.576

σ1 = Standard deviation 1(South) = 1.5 hours

σ2 = Standard deviation 2(North) = 1.7 hours

n1 = number of samples 1 = 195

n2 = number of samples 2 = 148

Confidence Interval

= 4.5 - 4.7 ± 2.576 × √1.5²/195 + 1.7²/148

= 0.2 ± 2.576 × √0.0115384615 + 0.019527027

= 0.2 ± 2.576 × √0.0310954885

=0.2 ± 0.4542495969

Confidence Interval

= 0.2 - 0.4542495969

- 0.2542495969

= -0.254

Approximately = -0.654

= 0.2 + 0.4542495969

= 0.6542495969

Approximately = 0.654

Hence, The 99% confidence interval for the true difference between the mean numbers of hours of sports watched per week for the two regions is = CI [-0.254, 0.654].]

Answer:

1/3 and 10/11, or 9/27 and 40/44

Step-by-step explanation:

Simplified 3/9  by 3.

Simplified 20/22 by 2.

Answer:

For 3 over 9 = 1/3, 6/18, 9/27 For 20 over 22 = 10/11, 40/44, 60/66

Step-by-step explanation:

You can simplify the fraction or multiply by the same amount of number to numerator and denominator.

Answer:

D

Step-by-step explanation:

The magnitude is 25 and the direction angle of vector c is 73.7°. Option D is correct.

Given, a=⟨2,10⟩, b=⟨-5,-14⟩, c=a-b

We need to find what is the magnitude and direction angle of vector c.

Given a position vector v=⟨a,b⟩, the magnitude is found by |v|=√a²+b². The direction is equal to the angle formed with the x-axis, or with the y-axis, depending on the application. For a position vector, the direction is found by tanθ=(ba)⇒θ=[tex]tan^{-1}[/tex](ba).

Now, vector c=⟨7,24⟩|c|=[tex]\sqrt{7^{2} +24^{2} }[/tex]=25angle =tan(θ)=(168)⇒θ=[tex]tan^{-1}[/tex](168)= 73.7°.

Hence, the magnitude is 25 and the direction angle of vector c is 73.7°.

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Answer:

The 3 odd, consecutive numbers are 25, 27, and 29.

Step-by-step explanation:

When you add these 3 numbers you will get 81.

25 + 27 = 52

52 + 29 = 81

Therefore, 25 + 27 + 29 = 81

Hope this helps!!

Answer:three consecutive odd numbers are 25; 27; 29

suppose: the smallest number is x ( x > 0),(x ∈ N)

because 3 numbers are three consecutive odd numbers

=> The next 2 terms respectively are x + 2; x + 4

have: The sum of three consecutive odd numbers is 81

=> x + x + 2 + x+ 4 = 81

⇔ 3x + 6 = 81

⇔ 3x = 81 - 6

⇔ 3x = 75

⇔ x = 25

=>  three consecutive odd numbers are 25; 27; 29

Step-by-step explanation:

Answer:

0.09433962264

Step-by-step explanation: