Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13
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
1. Which is the slope of the line that passes through points (1,1) and (2,7)
1a. Pick a point the line passes through above with the slope you calculated, find the y-intercept
1b. Now that you know the slope and y-intercept, what is the equation of the line ?
Answer:
y=6x-5
Step-by-step explanation:
1) Use slope formula to find the slope. Slope is 6
1a) Substitute (1,1) in the equation. -5
1b) y=6x-5
Hope this helps :-)
5980287458q36843872+7747617443402
Answer:
5304
Step-by-step explanation:
[tex]\blue{\boxed{\boxed{\bold{i'm \: Confused}}}} [/tex]
Consider the following vectors in component form
a = LeftAngleBracket 2, 10 RightAngleBracket. B = LeftAngleBracket negative 5, negative 12 RightAngleBracket. C = a minus b.
NEED HELP ASAP
What is the magnitude and direction angle of vector c?
|c| = 5, θ = 36.9°
|c| = 5, θ = 53.1°
|c| = 25, θ = 16.3°
|c| = 25, θ = 73.7°
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.
What is the magnitude and direction angle?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°.
To learn more about the vectors visit: https://brainly.com/question/13322477.
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here the pic of it so can u hel pme
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
When 107/333 is written as a decimal, how many digits are in the smallest sequence of repeating digits?
A.) 1
B.) 2
C.) 3
D.) 4
Which fraction is equal to 0.370?
A.) 37/100
B.) 370/999
C.) 37/99
D.) 37/9
When 1/6 is written as a repeating decimal, which digit is repeating?
A.) 1
B.) 6
C.) 7
D.) 16
What fraction is equal to 0.03?
A.) 3/100
B.) 1/33
C.) 1/11
D.) 1/3
Answer:
1. c
2. a
3. b
4. a
Answer:
C,a,b,a
Step-by-step explanation:
Please help, correct answers please
PLEASE I DO NOT UNDERSTAND
Answer:
(1) 2, (2) -5/4, (3) 7/5, (4) -7/4, (5) 3/5, (6) -1/4, (7) 3, (8) -1/2, (9) 1/6
Step-by-step explanation:
each line had points on it. what you want to do is go to the bottom point. then go up until you hit the line where the other point is. then go to the side to where the other line is. make sure you're counting the whole time. if it can be simplified (ex: 2/4), simplify it. if the line is pointing to the left, it is negative. remember, rise over run, if pointing left it's negative, and draw a triangle from the points (which i didnt say but it works).
Joan and Ernie are earning money for summer camp. Joan receives a $7 weekly allowance plus $6 for each hour she helps her father paint. Ernie writes the equation LaTeX: y\:=\:5x\:+7y = 5 x + 7 to represent the relationship between the number of hours he helps his father with yard work and his weekly allowance.
Which person has the greater rate of change?
Which person has the greater y – intercept?
Which has more money at 10 weeks?
Choose all that apply
Joan has more money in 10 weeks
Joan has the greatest rate of change
Joan has the greatest y-intercept
They have the same amount of money in 10 weeks
Their rate of change is the same
Ernie has the greatest rate of change
Ernie has more money in 10 weeks
Ernie has the greatest y-intercept
Their y-intercepts are the same
Answer:
6x+7
Step-by-step explanation:
Need help asappppppp
Answer:
your answer is 20
Step-by-step explanation:
20/tan 45 wich
Identify all of the acute angle shown
Answer:
a
Step-by-step explanation:
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Answer:i can't see it post a better one
Step-by-step explanation:
The local water slides have 100 employees, of which 30% are temporary. How many temporary employees are there?
Answer:
There are 30 temporary employees
Step-by-step explanation:
To find x% of quantity A, multiply x% by A after change x% to the normal number by divide it by 100 ⇒ (x ÷ 100) × A
Let us use this rule to solve the question
∵ The local water slides have 100 employees
∵ 30% of them are temporary
∴ The number of temporary employees = 30% × 100
∵ 30% = 30 ÷ 100 = 0.30
∴ The number of temporary employees = 0.30 × 100
∴ The number of temporary employees = 30
∴ There are 30 temporary employees
Find TE. I really need help!
Answer: 12
Step-by-step explanation: So VE and TE are equivalent because diagonals bisect. So you can set up an equation. 4+2x=4x-4. Simplify the equation, and you get 2x=8. X=4. So plug 4 into the equation. TE is equal to 12.
Help me please !!
Given: P: S, PQ=ST, Q=
Answer:
Yes AAS
Step-by-step explanation:
................. J
Answer:
none of the other answers are correct
The track around the Wilson football field is a circle that has a radius of 50 yards. If you walk ONE lap, what distance did you walk?
Answer:
You walked one lap = 50 yards you walked 50 yards.
Step-by-step explanation:
Answer:
25 yards
Step-by-step explanation:
half of 50 is 25
express 1 82 as a product of it prime factor
Answer:
3
Step-by-step explanation:
Find two fractions equivalent to each fraction.
3 over 9
20 over 22
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.
REALLY NEED HELP/ASAP
GRADES ARE CLOSING AND I NEED TO FINISH THIS BEFORE 5!!!!!
Answer:
I think it's z= 110/3
Step-by-step explanation:
Answer:
z = 36.68
Step-by-step explanation:
i make 2 dollars every 8 minutes how many dollars will i make in a hour
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
Please help me! The problem is quick and simple and I’ll mark whoever answers it brainliest
Please help me with this problem!
Answer: The answer is b
Step-by-step explanation:
what is the value of pie ? (write in fraction and numerical value also)
Answer:
Pi is approximately 3.14 in decimal form and [tex]\frac{22}{7}[/tex] in fraction form.
Use the graph below to fill in the blank with the correct number:
f(-2) =
(3 points)
5 4 $
.
2
-5 4 3 2 1
2 3 4 5
-2
.
-3
5
Blank 1:
Answer:
f(-2) = 2
f(-3) = 0
f(1) = -2
f(0) = 1
Help!! Pleaseeeeeee this us urgent!!!!
Answer:
I will send you a link for desmos, the only way I can show you
Step-by-step explanation:
desmos.com/calculator/sjwbssn5xm
Write an algebraic expression that could be used to find the amount of money in the envelope at the end of “n” weeks.
Answer:
Like N=ky?
Step-by-step explanation:
The cost of 12 widgets is $7.50. How much will it cost to buy 52 widgets?
Answer:
$32.50
Step-by-step explanation:
To answer this question, find the price per widget by dividing $7.50 by the number of widgets (12)
7.50 / 12 = 0.625
You may be tempted to round to 0.63 here, and maybe that is what your teacher wants, but typically you save rounding for the end of your calculations. So let's keep the price-per-widget at 0.625 and multiply it by the 52 widgets to find the total cost.
0.625 * 52 = 32.5 or $32.50
PLEASE HELP❗️❗️‼️❗️‼️❗️‼️❗️‼️❗️‼️❗️‼️❕‼️❕❗️‼️Drag a description next to the matching model to complete this proof of the
Pythagorean theorem. Show that a square with area z? can be transformed into
two squares with areas x2 and y2.
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.
At what input value will the function
f(x) = -x - 2 + 2 begin to have real
outputs?
x = [?]
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.
3/4 divided by 12 as a fraction
Answer: the answer is 3/48
We can write "3/4 divided by 12" as a fraction as 1/15.
What is division?Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. Division helps to split a given number into equal parts.
Given is to find -
"3/4 divided by 12" as a fraction.
We can write - "3/4 divided by 12" as a fraction -
{x} = 3/4 ÷ 12
{x} = 3/4 x 1/12
{x} = 3/48
{x} = 1/15
Therefore, we can write "3/4 divided by 12" as a fraction as 1/15.
To solve more questions on division, visit the link below -
https://brainly.com/question/15381501
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A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 20 child bikes and 6 adult bikes in a week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Answer:
I'm sorry I have no clue I'm not that smart but I would just like to say that I like your profile picture
Although I replied late, nobody gave the answer.
The answer you are looking for is C). But how do you know it's correct? Do some calculation.
Child bike: 4 hours to build + 4 hours to test = 8 hours total
Adult bike: 6 hours to build + 4 hours to test = 10 hours total
5*4 = 20 build hours for child bikes
5*4 = 20 test hours for child bikes
15*6 = 90 build hours for adult bikes
15*4 = 60 test hours for adult bikes
20 + 20 = 40 total hours for child bikes
90 + 60 = 150 total hours for adult bikes
20 + 60 = 80 total test hours
20 + 90 = 110 build hours
Since this amount is below the maximum, the bike order DOES meet the restrictions.
Our equations should be 4c + 6a ≤ 120 for the total building hours, and 4c + 4a ≤ 100 for the total testing hours.
In conclusion, the answer is C) Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100.