The result of RREF produced the following matrix. What is the solution to the system? Choose the best answer.
Answers
Using the augmented matrix, we find that:
The first system has no solutions.The second system has infinite solutions, given by: (-3t, 0, t).------------------
For the first system, looking at the third row of the matrix, the relation is:
[tex]0t = 1[/tex]
Which is not possible, thus there are no solutions.
For the second system, the third line is:
[tex]0t = 0[/tex]
Which means that there are infinite solutions, and t is the free parameter.
From the second line, y = 5.
From the first, [tex]x + 3t = 0 \rightarrow x = -3t[/tex]
The solutions are: (-3t, 0, t).
A similar problem is given at https://brainly.com/question/24783392
Answer: No Solution
Step-by-step explanation:
Related Questions
PLZZ GIVING BRAINILEST
Answers
Answer:
3.5(1.6 + 4.6 - 8.5) - 9.75= 3.5(-2.3) - 9.75= -8.05 - 9.75= -17.8Step-by-step explanation:
1.6 + 4.6 - 8.5 = -2.33.5(-2.3) = 3.5 × -2.3 = -8.05-8.05 - 9.75 = -17.8I hope this helps!
devin makes a 15% commission each month for everything he sells. if devin sells $2750 of merchandise this month, how much of a commission did she receive?
Answers
Answer:
$412.50
Step-by-step explanation:
15% of 2750 = 0.15 × 2750 = 412.5
From 82 feet to 74 feet
Answers
Answer:
8 feet
Step-by-step explanation:
Choose the function for the above table. *
Y= X + 7
Y= 2X + 4
Y = 3X + 1
Y = 4X - 2
Answers
3 = X
10= Y
Step-by-step explanation:
10=3 + 7
10=2 ×3+4
10=3×3+1
10=4×3-2
What Is the measure of angle D?
Answers
Answer:
Step-by-step explanation:
2x + 15 + x + 90 = 180
3x + 105 = 180
3x = 75
x = 25
2(25) + 15 = 50 + 15 = 65 for m<D
I need help with this
Answers
Answer:
in about 27 days
Step-by-step explanation:
i assumed 30 days per month when i set up this equation:
w = words learned daily
100 + 4w = 180 + 30/30w
100 + 4w = 180 + w
3w = 80
w = 26 2/3
Answer:
3.86 weeks/three weeks
Step-by-step explanation:
x time it takes for thier vocab to be the same in days
so the boy lerns 360 words of spanish in a year
or 360/365 words of spanish per day which is 72/73 words per day
so,
100+4x=180+72x/73
80=288x/73-72x/73
80=216x/73
80*73=5,840
5,840=216x
27.037 days=x
so now we have to divide by seven to get weeks so that is 3.86 weeks.
so some time in week three
y=-x+7 y=2x+1 solve using equations
Answers
Answer:
x=6,y=13
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
x+7=2x+1
Solve x+7=2x+1
x=6
Evaluate yy when x=6
y=13
The solution to the system is the complete set of ordered pairs that are valid solutions.
(6,13)
The result can be shown in multiple forms.
Point Form:
(6,13)
Equation Form:
x=6,y=13
................................................
Answers
Answer:
75.8°
Step-by-step explanation:
x + x + 28.4° = 180°{ being linear pair }
2x = 180° - 28.4°
2x = 151.6°
x = 75. 8°
Hope it will help :)
I am a block.
I have 3 faces that are
rectangles.
I have 2 faces that are
triangles.
Answers
Answer: Triangular Prism I think
Step-by-step explanation:
a building in the shape of a rectangle is 120 feet long and 90 feet wide. if a fence is to be constructed along te diagonal of the lot, find the length of the fence in feet
Answers
(Dish)^2=120^2+90^2
Please help me with those questions please please help
Answers
Step-by-step explanation:
1)
Prime factorization of 36 is: 2 x 2 x 3 x 3.
Prime factorization of 196 is: 2 x 2 x 7 x 7.
Prime factorization of 361 is: 19 x 19.
2)
Greatest Common Factor of 126 and 144 is: 18.
Least Common Multiple of 28, 42, and 63 is: 252.
3)
2/3+3/4=17/12.
2/3-3/4= -1/12.
3 2/3 x 1 3/4 = 6 5/12.
A restaurant makes pizzas with 6-inch diameters ad 12-inch diameters. Which of the following statement is true?
The area of the 12-inch pizza is twice the area of the 6- inch pizza
The area of the 12-inch pizza is three times the area of the 6-inch pizza
the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza
the area of the 6-inch pizza is 1/6 the area of the 12-inch pizza
Answers
Answer:
The correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
Step-by-step explanation:
The area (A) of each pizza is given by:
[tex] A = \pi r^{2} [/tex]
Where:
r: is the radius
For the 12-inch pizza we have:
[tex] A_{12} = \pi (\frac{12 inch}{2})^{2} = 113.1 inch [/tex]
And for the 6-inch pizza we have:
[tex] A_{6} = \pi (\frac{6 inch}{2})^{2} = 28.3 inch [/tex]
The ratio between A₆ and A₁₂ is:
[tex] \frac{A_{6}}{A_{12}} = \frac{28.3 inch}{113.1 inch} = 0.25 = \frac{1}{4} [/tex]
Hence:
[tex] A_{6} = \frac{A_{12}}{4} [/tex]
Therefore, the correct option is c: the area of the 6-inch pizza is 1/4 the area of the 12-inch pizza.
I hope it helps you!
The area of the 6-inch pizza is 1/4 the area of the 12-inch pizza
Given that;Diameter of pizza A = 12 inch
Diameter of pizza B = 6 inch
Computation:Ration of Area of Pizza A to B = [πr1²] / [πr2²]
Ration of Area of Pizza A to B = [(12/2)²] / [(6/2)²]
Ration of Area of Pizza A to B = [(6)²] / [(3)²]
Ration of Area of Pizza A to B = 36 / 9
Ration of Area of Pizza A to B = 4:1
So,
Option "C" is the correct answer of the following question.
Learn more:https://brainly.com/question/21454181?referrer=searchResults
What is this trying to ask me ???
Answers
In ∆ABC,
∠A = 60°∠B = 60°BC = 12 units∠BDC = 90°To Find :Area of ∆ABC = ?Solution :As, we have :
∠A = 60°∠B = 60°So, By angle sum property of triangle :
∠A + ∠B + ∠C = 180°
[tex] \tt : \implies 60\degree + 60\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies 120\degree + \angle C = 180\degree[/tex]
[tex] \tt : \implies \angle C = 180\degree - 120\degree[/tex]
[tex] \tt : \implies \angle C = 60\degree[/tex]
Now, we have :
∠A = 60°∠B = 60°∠C = 60°As, all angles are of same length, therefore it is a equilateral triangle.
We know that sides of equilateral triangle are equal.
[tex] \tt : \implies AB = BC = AC[/tex]
Now, we have BC = 12 units.
Hence, all sides are of 12 units.
Now, we know that area of equilateral triangle is :
[tex] \large \underline{\boxed{\bf{Area_{(equilateral \: triangle)} = \dfrac{\sqrt{3}}{4} side^{2}}}}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{4} \times (12 \: units)^{2}[/tex]
[tex] \tt : \implies Area = \dfrac{\sqrt{3}}{\cancel{4}} \times \cancel{144} \: units^{2}[/tex]
[tex] \tt : \implies Area = \sqrt{3} \times 36 \: units^{2}[/tex]
[tex] \tt : \implies Area = 36\sqrt{3} units^{2}[/tex]
So, Area of given triangle is 36√3 units².
A number z squared, decreased by 7
Answers
9514 1404 393
Answer:
z² -7
Step-by-step explanation:
A square is indicated using an exponent of 2. "Decreased by 7" means 7 is subtracted.
z squared, decreased by 7 is ...
z² - 7
And explanation would be appreciated :)
Answers
Answer:
Your answer is 4 men
Hope that this is helpful. Tap the crown button, Mark my answer as............. BRAINLIST......... Like & Follow me to get more answer.
I NEED 5 MORE BRAINLIST ANSWER. HELP ME
Step-by-step explanation:
Total number of men=24
Number of men wearing red shirt= 1/2×24=12 men
Number of men wearing green shirt= 1/3×24=8 men
So total number of men wearing a shirt other than blue= 12+8=20 men
Number of men wearing blue shirt=24-20=4 men.
Hence the answer is 4 men.
Hope this helps you :)
Please Help!! I will give 50 points and brainliest for the correct answer
The question is attached below
Answers
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Using the rules of logarithms
logx + logy = log(xy)
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{x}[/tex] 5 + [tex]log_{x}[/tex] 12 = 7 , then
[tex]log_{x}[/tex] (5 × 12) = 7 , that is
[tex]log_{x}[/tex] 60 = 7 , thus
[tex]x^{7}[/tex] = 60 → B
6. Which function is equivalent to y=3( x + 2)2 + 7?
Answers
Answer:
3x+45
/3x /3x
x= 15
3x+45
/3x /3x
answer
x=15
Solve: 3x^3-x^2-38x-24
Answers
(3x+2)(x+3)(x-4)
Both magnetic attraction and repulsion are used to move maglev train cars along the guideway.
True
True
False
False
Answers
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
There are two sets of magnets to move the maglev train one set pushes the train off the track and the other to move the train foward.
There are a total of 96 children in Years 4, 5 and 6
37 of these children cannot swim.
11 children in Year 4 cannot swim.
21 children in Year 5 can swim.
There are 30 children in Year 6
18 of these 30 children can swim.
(i) Work out the number of children in Year 4 who can swim.
Answers
Answer: 20 children
Step-by-step explanation:
Given
Year 4: 11 cannot swim
Year 5: 21 can swim
Year 6: 18 of 30 can swim
Total 96 children
Total 37 cannot swim
First Step: find the number of people from year 5 who cannot swim
There are 30-18=12 people who cannot swim in year 6There are 11 who cannot swim in year 4Thus, we use the total number [37]-[year 4+year 6]=37-23=14 people who cannot swim in the year 5Second Step: find the number of children in year 5
There are 21 children who can swimThere are 14 children who cannot swim21+14=35 childrenThird Step: find the number of children in year 4 who can swim
There are 30 children in year 6There are 35 children in year 5There are 11 children in year 4 who cannot swimThere are in total 96 children96-30-35-11=20 children in year 4 who can swimHope this helps!! :)
Please let me know if you have any questions
can you table y=x+4 for me?
Answers
Answer:
Step-by-step explanation:
answer plz?!?! and explanation plz?!?
Answers
Answer:
d
Step-by-step explanation:
Radius = 4
area:
4x4x3.14x12=602.88
What is the domain? {-2,3); (1,4); (2,4); (0,0)}
Answers
Answer:
-2,1,2,0
Step-by-step explanation:
0 your choice to right,still right it to be safe, domain is all x values
I NEED HELP NEEDS TO BE DONE IN 10 mins
Standard to Slope Intercept Form
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2x+8y=24
Answers
Answer:
y = - [tex]\frac{1}{4}[/tex] x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
2x + 8y = 24 ( subtract 2x from both sides )
8y = - 2x + 24 ( divide all terms by 8 )
y = - [tex]\frac{1}{4}[/tex] x + 3 ← in slope- intercept form
Determine if the triangle is similar. If similar, state how and complete the similarity statement.
Answers
Answer:
It would be...
Step-by-step explanation:
Similar By: 22.5 and 27
ABCD: G AND H AND F
I am not sure but I try hard
find x and y in to the diagram
Answers
Answer:
diagram???
where is it
Step-by-step explanation:
How much water will the swimming pool hold if it is completely filled with water?
9 ft
9 ft
4 ft
4 ft
4 ft
30 cubic feet
144 cubic feet
224 cubic feet
324 cubic feet
Answers
Answer:
144
Step-by-step explanation:
You should pick B.
PLS COME ASAP PLS!!!!
Answers
Answer: 9/2
Step-by-step explanation:
21=2(6) + 2(?)
21=12 + 2(?)
9=2(?)
(9/2)=?
What property is this ?
a(b + c) = ab + ac
Answers
Answer:
distributive I'm pretty sure!
Step-by-step explanation:
i hope this helps have a great day:)
Te diagonals of Quadrilateral JKLM intersect at A. If KL ≅ J M , JK≅ L M and KA ≅ M A , which additional statement shows that JKLM is a rhombus?
Group of answer choices
JA = LA
JL ⊥ K M
m
KA = KJ
Answers
Answer:
JL ⊥ KM
Step-by-step explanation:
JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent. If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.
JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.
Given :
Quadrilateral JKLM diagonals intersect at A. KL ≅ J M , JK≅ L M and KA ≅ M AThe following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:
Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.
Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.
Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.
Therefore, the correct option is B).
For more information, refer to the link given below:
https://brainly.com/question/14462098