Answer:
x = 2 , y = 0 , z = 3
Step-by-step explanation:
Cramer's rule is a rule through which we can find the solution of linear equation.
we have the three linear equations as
x+2y+3z=11
2x+y+2z=10
3x+2y+z=9
AX=B
A: coefficient matrix
X= unknown vectors(x,y,z)
D = values of the linear equation (11 , 10 , 9)
now we find the determinant of the given linear equation
determinant of the matrix will be
A = [tex]\left[\begin{array}{ccc}1&2&3\\2&1&2\\3&2&1\end{array}\right][/tex] = 1(1-4) - 2(2-6) + 3(4 - 3)
= 1(-3) - 2(-4) + 3(1)
= -3+8+3 = 8
also D[tex]\neq 0[/tex]
so the determinant is Non zero we can apply Cramer's rule
we will be replacing the first column of the coefficient matrix A with the values of D
by replacing the first column we will get the value of the variable 'x'
Dx = [tex]\left[\begin{array}{ccc}11&2&3\\10&1&2\\9&2&1\end{array}\right][/tex] = 11(1-4) -2(10-18) + 3(20-9) = -33+16+33 = 16
x = [tex]\frac{Dx}{D}[/tex] = [tex]\frac{16}{8}[/tex] = 2
similarly
Dy = [tex]\left[\begin{array}{ccc}1&11&3\\2&10&2\\3&9&1\end{array}\right][/tex] = 1(10-18) -11(2-6) + 3(18 -30) = -8 +44 -36 = 0
y = [tex]\frac{Dy}{D}[/tex] = 0
Dz= [tex]\left[\begin{array}{ccc}1&2&11\\2&1&10\\3&2&9\end{array}\right][/tex] = 1(9 - 20) -2(18 - 30) + 11(4 -3) = -11 +24 +11 = 24
z = [tex]\frac{Dz}{D}[/tex] = [tex]\frac{24}{8} = 3[/tex]
so we have the solution as
x = 2 , y = 0 , z = 3
Therefore the solution for the given linear equations is (2,0,3).
Need help asap please!!
Answer:
A) 40 + d
B) 45 days
Step-by-step explanation:
A)
total cost = (cost of the air conditioner itself) + (money charged per day)*(days)
cost of air conditioner itself = $40
money charged per day = $1
days = d
40 + 1*d
= 40 + d
B)
total cost = 40 + d
total cost = $85
85 = 40 + d
45 = d
Time used the air conditioner for 45 days.
Will mark brainliest plz help
Answer:
AE = 30
GD = 5
GF = 10
Step-by-step explanation:
Centroid of medians divide median in the ratio 2 : 1
Therefore,
AG : GE : 2 : 1
Let AG = 2x & GE = x
Since, AG = 20....(given)
Therefore, 2x = 20
x = 20/2
x = 10
GE = x = 10
AE = AG + GE = 20 + 10 = 30
CG : GD : 2 : 1
Let CG = 2x & GD = x
Since, CG = 10....(given)
Therefore, 2x = 10
x = 10/2
x = 5
Since, GD = x
Therefore, GD = 5
BF = 30
2x + x = 30
3x = 30
x = 30/3
x = 10
GF = 10
find da surface area plz i will give brainlest to best anwser an thanks
Answer:
multiply all of it
Step-by-step explanation:
11.3 x 6 x 8 x 8
10.3 x 13 x 9 x 5
=
26145849.6
Reduce
Need help once again
Question is in the screenshot
No spam and no useless answers for the points
Please show your work
It means a lot to me :)
Hi there!
[tex]\large\boxed{\text{ She is incorrect.}}[/tex]
The format of a logarithmic equation is:
[tex]a^{b} = c\\\\log_{a}c = b[/tex]
In this instance:
a = e
b = 3x
c = 7
Rewrite as the logarithmic equation:
[tex]log_{e}7 = 3x[/tex]
Solve. Evaluate [tex]log_{e}7[/tex] and use algebra to find x:
[tex]1.946 = 3x\\\\x = 0.649[/tex]
Conversion Measurement *
(10 Points)
Mario drew a line on the wall to measure his
height, but the measuring tape he used was
marked only in metric units. If he measured his
height to be 127.5 centimeters, how tall is
Mario in feet and inches?
(1 centimeter = 0.4 inch)
51 feet
5 feet 1 inch
Answer:
The answer is 4 feet and 3 inches.
Step-by-step explanation:
what is 1696 divided by 43
Answer:
39.44
Step-by-step explanation:
Answer:
39.4418605
Step-by-step explanation:
Can anyone tell me theorem of Parallelogram*#
Answer:
Theorem 1: In a parallelogram, the opposite sides are of equal length. Theorem 2: If the opposite sides in a quadrilateral are the same length, then the figure is a parallelogram. Theorem 3: A quadrilateral is a parallelogram if and only if the diagonals bisect each other.
Step-by-step explanation:
Hope this helps!!!
Rewrite
barrel
as a unit rate
hour
A barrel/hour
B. barrels/hour
c. 10 barrels/hour
barrel/hour
Answer:
C
Step-by-step explanation:
vmlstjtndgydcyedhdhdh
How do I solve this inequality?
Answer:
x ≥ -4 or x ≥ [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
9 ≤ | 4x + 7 |
4x + 7 ≥ 9
4x ≥ 2
x ≥ [tex]\frac{1}{2}[/tex]
4x + 7 ≥ -9
4x ≥ -16
x ≥ -4
Roger grew 42 plants with 14 seed packets. With 16 seed packets, how many total plants can Roger have in his backyard?
Answer:
48 plants
Step-by-step explanation:
I will give u brainliest please help
Answer: Pablo: 1:5 Sam: 16.50
Step by Step Explination:
A bag contains 3 blue marbles, 2
green marbles and 1 red marble.
What is the probability of pulling a
red marble from the bag?
a) 12
b) 1/3
c) 1/5
d) 1/6
Help ASAP
Answer:
D 1/6
Step-by-step explanation:
There are 6 total marbles and only one of them is red so
1=red
6=total
1/6
PLZ MARK ME BRAINLIEST
It takes 404040 ink cartridges and 200200200 pages to print a book, and it takes 303030 ink cartridges and 808080 pages to print a magazine. Sarah wants to print books and magazines with at most 300300300 ink cartridges and 120012001200 pages. Let BBB denote the number of books she prints and MMM the number of magazines she prints.
Answer:
40B +30M ≤ 300
200B +80M ≤ 1200
Step-by-step explanation:
The inequality functions are as follows:
For 40 cartridges per book and 30 cartridges per magazine and at most 300 cartridges are used
So the function would be
40B +30M ≤ 300
Now the another would be
There are 200 pages for printing a book and 80 pages are required for printing a magazine also she used at most 1,200 pages
So, the function would be
200B +80M ≤ 1200
can anyone help me pls will mark branliest
Answer:
rock climb costs $7
Step-by-step explanation:
2 laser tags +3 rock climb = $31 ( 1 )
4 laser tags + 1 rock climb = $27 (2)
multipy (1) by -2 and add the equations
-4 laser tags -6 rock climb = $ -62
4 laser tags + 1 rock climb = $27
-6 rock climb +1 rock climb = -62+27
-5 rock climb = -35 divide both sides by -5
1 rock climb = $7
What is 13/21as a decimal rounded to 3 decimal places?
Answer:
0.619
Step-by-step explanation:
Answer:
0.619
Step-by-step explanation:
Fist divide 13/21. I used a claulator since thats allows in my class. When you do that you get 0.619047619. to round we look at the thrid and fourth decimal places, which are 9 and 0. Since zero is less than nine we round down to get the answer.
please help me write this equation
It is possible to construct an equilateral triangle using only a straightedge and a compass.
Answer:
yes it is possible
Step-by-step explanation:
Answer:
Yes
Step-by-step explanation:
Solve step by step! Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
What is the slope of the line?
Answer:
[tex]m=\frac{1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, -1)
Point (-4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]m=\frac{-3+1}{-4-2}[/tex]Add/Subtract: [tex]m=\frac{-2}{-6}[/tex]Simplify: [tex]m=\frac{1}{3}[/tex]Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week.
help please just look at the picture it has the question and answer choices
C is ur answer............
Please help me with the answer!! There is the picture of the problem^
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
f(x) = √2x-4
f(20) = √2(20)-4
f(20) = √40-4
f(20) = √36
f(20) = 6
help plz i need this done
Answer:
x ≈ 11.5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Trigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] sin∅ = opposite over hypotenuseStep-by-step explanation:
Step 1: Identify Variables
Angle = 35°
Opposite Leg = x
Hypotenuse = 20
Step 2: Solve for x
Substitute [sine]: sin35° = x/20Isolate x: 20sin35° = xEvaluate: 11.4715 = xRewrite: x = 11.4715Round: x ≈ 11.5Please help ! !!!!!!!!
Answer:
c, 50
Step-by-step explanation:
120-24= 96
Since we are measuring the size of one of the halves, you have to split that number in half, so 96 ÷ 2= 48.
48 rounds up to 50, so 50 is the answer
Complete the solution of the equation. Find the value of y when x equals 7. x - 4y = 19 Enter the correct answer.
Answer: the correct answer is to teacha don’t like you assigning this bullish!+ when will you ever in your life use this feel bad for y’all I dropped out
Step-by-step explanation:
HELLLPPPPPPPPPPPPPOOOOPPPPPOP
Answer:
150° I guess I'm not really sure
Answer:
150
Step-by-step explanation:
These angles will always equal to 360
s = 30
1 = 150
30 + 30 + 150 + 150 = 360
Have a good day! I hope this helps!
You finish
3/8 of the project. Your friend finishes 1/4 of the project. What
fraction of the project is finished?
Answer: 5/8 of the project is done
What is the slope of (-9, 8) and (3,- 12)
Answer:
Your slope would be -5/3
Step-by-step explanation:
To find the slope from two points, you would use the formula y2-y1/x2-x1
In this case, the equation would look like -12-8/3-(-9)
-12 - 8 = -20
3 - (-9) = 12
-20/12 = -5/3
The point (-3, 15) undergoes a translation of 9 units right and 10 units down. What are the coordinates of the new
point?
(-12,10)
® (-12,5)
(6,10)
D (6,5)
Answer:
This would be D. (6, 5)
Step-by-step explanation:
When moving 9 to the right, you take -3 and add 9 to it, which gives you 6.
Do the same thing with 15, but subtract 10 from it, since you are going to the left. This gives you 5.
Therefore, your answer should be (6, 5)
-3 + 9 = 6
15 + 10 = 5
NEED HELP ASAP‼️‼️‼️‼️‼️‼️ IL CASH APP 20$ IF CORRECT ‼️‼️‼️‼️What is the solution to this system?
{2x + y = 8
{y = 2x + 4
Answer:
x = 1 and y = 6
Step-by-step explanation:
Add these equations
-2x+y=4
2x+y=8
2y=12
2
y = 6
Plug in 12 for y.
-2x+(6) = 4
-6 -6
-2x = -2
-2
x = 1