The row-echelon form of the augmented matrix of a system of equations is given.Find the solution of the system
Answers
Answer:
x = 9/4
y = 3/5
z = 2/3
w = -9/5
Step-by-step explanation:
Technically, the matrix is in reduced row echelon form. If there are zeros above and below the ones, it is RREF. If there are zeros only below the ones, then it's REF.
Since it is in RREF, the augmented numbers to the right of the bar are already your solutions. Simply label the variables.
Related Questions
How would you write Twice the difference of 9 and a number.
Answers
Answer:
Hey there!
You would write that as 2(9-n), where n is the number.
Hope this helps :)
Please help ASAP. The question is down below.
Answers
Answer:
Question 1.
Option A: 2m
Question 2
Option D: (1, 1) minimum point
Step-by-step explanation:
Question 1.
Let the original length of the garden (before expansion) be = x
The new length of the garden will be x + 10m
Recall that the garden has a square geometry. That means that its area is obtained by squaring any of its sides.
This means that [tex](x +10)^2 = 144[/tex]
We can now solve for x
[tex](x +10)^2 = 144\\x^2 +20x +100 = 144\\x^2 + 20x =44\\x^2 + 20x - 44=0\\x = 2 or -22[/tex]
x cannot be a negative number, so the original length of a side of the garden is 2m. Option A
Question 2:
The coordinates of the vertex of the graph (turning point) are (x, y) [1,1]
To know whether it is a minimum or maximum point, we will have to check the coefficient of [tex]x^2[/tex] in the equation [tex]y = x^2-2x+2[/tex]
The coefficient of [tex]x^2[/tex] in the equation is 1. (If no number is present, just know that the coefficient is a one).
If the coefficient is positive, then the point is a minimum point. However, if it is negative, then the point is a maximum point.
Our coefficient is positive hence, the graph has a minimum point.
Which expression, in exponential form, is equivalent to 26x3y 47z5r3 A) ( 26x3y 47z5r3 )2 B) (26xy) 1 2 (47zr) 1 2 C) 26 1 2 x 3 2 y 1 2 47 1 2 z 5 2 r 3 2 D) 26x 3 2 y 1 2 47z 5 2 r 3 2
Answers
Answer:
The answer is "all the choices were wrong"
Step-by-step explanation:
Given value:
[tex]\bold{26x^3y 47z^5r^3}[/tex]
In the given question all the choices were wrong because it is not equivalent to given equation:
In choice A) [tex]( 26x^3y 47z^5r^3 )^2[/tex] in the value is whole squared, that's why it is wrong.
In choice B) [tex](26xy)^{12} (47zr)^{12}[/tex] when we open its value it will give different values, that's why it is wrong.
In option C and D( [tex]26^{12} x^{32} y^{12} 47^{12} z^{52} r^{32}[/tex] and [tex]26x^{32} y^{12}47z^{52} r^{32}[/tex]) both values will give different values.
Answer:
it's C
Step-by-step explanation:
I just did it
Factorise : a^2+4a-60 Step by Step
Answers
Answer:
Step-by-step explanation:
Sum = 4
Product = -60
Factors = 10 , -6
a² + 4a - 60 = a² + 10a - 6a + (-6) * 10
=a(a + 10) - 6(a +10)
= (a +10) (a -6 )
the 15 chihuahua puppies ate 63 cups of food last week if each puppy ate the same amount of food how many cups of puppy food did each puppy eat
Answers
Answer:4.2 cups
Step-by-step explanation:
Just do 63 cups, divided by the 15 puppies which equals 4.2 cups! pls mark brainliest
Answer:
4.2 cups
Step-by-step explanation:
I am in the assiment and i just got it right on the assiment
what is (a x b) x c if a = 2, b = 8, and c = 12? PLEASE HELP!!
Answers
Answer:
192
Step-by-step explanation:
(a x b) x c
Let a=2 b=8 c=12
(2 * 8) * 12
16 * 12
192
Answer:
192Step-by-step explanation:
[tex]a = 2\\b = 8\\c = 12\\\\(a \times b) \times c\\\\(2 \times 8) \times 12\\\\(16) \times12\\\\= 192[/tex]
Pls someone explain this to me
Thank u.
Answers
Answer:
a) a= 60
c) a= 135
d) a= 40
f) a= 115
g) a= 37
i) a= 130
Step-by-step explanation:
If you see a little square at the angle, this means that the angle is a right angle, which means that it is 90°.
Let's look at Q5a.
a) a° +30°= 90°
a°= 90° -30°
a°= 60°
a=60
Questions 5b has the same concept.
The sum of the angles on a straight line is 180°. The abbreviation used for this is (adj. ∠s on a str. line).
Let's look at Q5c.
c) a° +45°= 180° (adj. ∠s on a str. line)
a°= 180° -45°
a°= 135°
a= 135
Question 5d uses the same concept too.
Let's look at Q5d.
d) 90° +50° +a°= 180° (adj. ∠s on a str. line)
a°= 180° -90° -50°
a°= 40°
a= 40
Vertically opposite angles are equal. The abbreviation written for this is (vert. opp. ∠s).
Use this for questions 5f and 5g.
f) a°= 115° (vert. opp. ∠s)
a= 115
g) a°= 37°
a= 37
The sum of angles on a point is 360°. This will help you solve questions 5h and 5i.
i) 140° +90° +a° = 360° (∠s at a point)
a° +230°= 360°
a°= 360° -230°
a°= 130°
a= 130
is 1 whole 1 by 3 considered as an integer??
Answers
Answer:
No it's not.
Step-by-step explanation:
[tex]1 \frac{1}{3} = \frac{4}{3} = 1.333333[/tex]
Integers are set of numbers consisting
Whole numberNatural numberNegative numbersIt doesn't consist
Fractions &DecimalsHope this helps ;) ❤❤❤
Answer:
[tex]\boxed{\sf No}[/tex]
Step-by-step explanation:
[tex]\displaystyle 1 \frac{1}{3} =1.3333333...[/tex]
Integers are whole numbers that can be positive or negative. Integers do not include fractions and decimals.
A pyramid has a square base with an area of 169 ft.² what is the perimeter of the base of the pyramid
Answers
Answer:
52
Step-by-step explanation:
Square root of 169 is 13.
SInce it is a square all sides are same length. So you could do 13x4 or 13+13+13+13. Both will equal to 52.
The perimeter of the base of the pyramid is 52 square feet.
Given that,
The pyramid contains a square base having an area of 169 square feet.
We know that,
Area of the square = side^2
169 = side^2
So, the side is 13 feet.
So, the perimeter should be
= 4 × sides
= 4 × 13
= 52 feet
Therefore, we can conclude that The perimeter of the base of the pyramid is 52 square feet.
Learn more about the square here: brainly.com/question/14198272
I need domain and range
Answers
Answer:
-3 and infinity
Step-by-step explanation:
plz help ASAP! last question thank u
Answers
Answer:
The correct Option is Option A
Step-by-step explanation:
4.257 inches rounded to the nearest tenth is
Answers
[tex]4.257\approx4.3[/tex]
[tex]\text{Round to the nearest tenths place}\\\\4.257\\\\\text{"2" would be the number in the tenth place}\\\\\text{We would need to round up if the number to the right of the number is}\\\text{5 or greater}\\\\\text{In this case, the next number "5", so we would round up}\\\\\text{Therefore, your answer should be:}\\\\\boxed{4.3\,\, in}[/tex]
Which of the following is the graph of f(x) = x2 + 3x − 4? graph of a quadratic function with a minimum at 2, negative 9 and x intercepts at negative 1 and 5 graph of a quadratic function with a minimum at 3, negative 4 and x intercepts at 1 and 5 graph of a quadratic function with a minimum at 2.5, negative 2.4 and x intercepts at 1 and 4 graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Answers
Answer:
x intercepts at -4 and 1,
with a minimum at (-1.5, -6.25)
Step-by-step explanation:
(x + 4)(x - 1) = 0
x = -4, 1
min = -b/2a = -3/2(1) = x = -1.5
y = (-1.5)² + 3(-1.5) - 4 = -6.25
Answer:
graph of a quadratic function with a minimum at negative 1.5, negative 6.2 and x intercepts at 1 and negative 4
Step-by-step explanation:
The graph shows the minimum is (-1.5, -6.25) and the x-intercepts are a -4 and 1. This matches the last description.
__
The x-coordinates of the offered minima are all different, so it is sufficient to know that the axis of symmetry is the line ...
x = -b/(2a) = -3/(2(1)) = -1.5 . . . . . . . for quadratic f(x) = ax² +bx +c
This is the x-coordinate of the minimum.
3. If the coordinates of the two points 1 point
are P(-7,5) and Q (-6, 9), then
(abscissa of P) - (abscissa of Q) is.... *
a) –3
O b) 1
c) -2
O d) -1
Other:
Answers
which one is correct?
Answers
Answer:
[tex] (x+4)^2=4[/tex]
Step-by-step explanation:
[tex]x^2+8x+12=0\\
\implies (x^2+8x+16)+12=16\\
\implies (x+4)^2=16-12\\
\implies \boxed{(x+4)^2=4}[/tex]
Answer:
(x +4)^2 = 4
Step-by-step explanation:
if we add 4 to the expression x^2 + 8x + 12 we will have a perfect square which is shown as (x +4)^2
so (x +4)^2 = 4 is equivalent to the expression x^2 + 8x + 12
PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answers
Answer:
140°
Step-by-step explanation:
[tex] \because m\widehat{BG} = 360\degree - m\widehat{GCB} \\
\therefore m\widehat{BG} = 360\degree - 300\degree \\
\therefore m\widehat{BG} = 60\degree \\
\because m\widehat{BGD} = m\widehat{BG}
+m\widehat{GD}\\
\therefore m\widehat{BGD} = 80\degree+60\degree\\
\therefore m\widehat{BGD} = 140\degree\\
\because m\angle BAD = m\widehat{BGD} \\
\huge\purple {\boxed {\therefore m\angle BAD =140\degree}} [/tex]
The temperature at midnight is shown. The outside temperature decreases 2.3 C over the next two hours. What is the outside temperature at 2 A.M. ?
Answers
Answer:
Outside temperature at 2 A.M = -33.2°C
Step-by-step explanation:
Given:
Temperature at 12:00 midnight (outside) = -30.9°C
Rate of decreases = - 2.3°C per two hour
Find:
Outside temperature at 2 A.M
Computation:
Outside temperature at 2 A.M = Temperature at 12:00 midnight (outside) + Rate of decreases
Outside temperature at 2 A.M = -30.9°C + (- 2.3°C)
Outside temperature at 2 A.M = -33.2°C
HELP idk what the slope is
Answers
Answer:
the slope is -3
Step-by-step explanation:
Answer:
the slope is 3
Step-by-step explanation:
2. Describe two methods to determine whether ratios form a proportion.
Answers
Answer:
1. Write both ratios as fractions and reduce them completely. If they are the same fraction, the ratios form a proportion.
2. Write both ratios as fractions. Do the cross products by multiplying the denominator of each fraction by the numerator of the other fraction. If the cross products are equal, the ratios form a proportion.
a 6 foot tall man casts a shadow that is 9 ft long. At the same time, a tree nearby casts a 48 ft shadow. how tall is the tree
Answers
Answer:
32 ft tall
Step-by-step explanation:
Since a 6 ft man casts a shadow 9 ft long, the shadow is 3/2 of the actual object/person.
SINCE THE TREE'S SHADOW IS AT THE SAME TIME, THE HEIGHT IS THE SAME RULE.
We know the tree's shadow is 48 ft.
--> 48/3 = 16
16 x 2 = 32
32 ft tall
Hope this helps!
Answer: 32ft tall
Step-by-step explanation:
which ordered pair isa solution of the equation y=8x+3 A.Only (1,11) B.Only (-1,-5) C.Only (1,11) and (-1,-5) D Neither
Answers
Answer:
C (1,11) and (-1,-5)
Step-by-step explanation:
What fraction is half of 1/3 and 1/4
Answers
Answer:
im not entirely sure what you're asking so here are some example answers
half of (1/3 + 1/4)
= half of (7/12) = 7/24
half of 1/3 = 1/6
half of 1/4 = 1/8
Need help pls will give you a good rating.
Answers
Answer:
x^ ( 6/35)
Step-by-step explanation:
x ^ 2/5 ^ 3/7
We know that a^ b^ c = a^ ( b*c)
x ^ ( 2/5 * 3/7)
x^ ( 6/35)
Is my answer correct?
Answers
Answer:
Your answer is correct
Step-by-step explanation:
SAS triangle is proven through b option.
Hope this helps....
Have a nice day!!!!
how is this solved..?
Answers
Answer:
Range : { -5,1,7}
Step-by-step explanation:
Take the values in the domain and substitute into the equation
x = -3
y = -2(-3) +1 = 6+1 =7
x = 0
y = -2(0) +1 = 0+1 =1
x = 3
y = -2(3) +1 = -6+1 =-5
The range is the y values
We put then in order from smallest to largest
Range : { -5,1,7}
HELP!!! Let U be the set of students in a high school. The school has 800 students with 20 students on the gymnastic team and 10 students on the chess team. Select the Venn diagram if three students are on both teams.
Answers
Let me know if you need a working out/explanation.
Answer:
Step-by-step explanation:
this app is useless don't use it for math probs it doesn't help at all just stay on your work hoped this helped
Which point represents the opposite of 0 on the number line? A B C D E
Answers
Answer:
C: 0
Step-by-step explanation:
Let's use 1 for an example first. The opposite of 1 is -1. 2 = -2, 3 = -3, and so on. Since there is no such thing as -0, our answer would be C, 0. It is not -5, -2, 2, or 7 because those are not the negatives of 0.
We want to factor the following expression:
(x+4)^2 -4y^5 (x+4) + 4y10
We can factor the expression as (U – V)2 where U and V are either constant integers or single-variable
expressions.
1) What are U and V?
Answers
Answer:
U = x + 4 and V = 2y^5.
Step-by-step explanation:
Square root of (x + 4)^2 = x + 4
Square root of 4y^10 = 2y^5
U = x + 4 and V = 2y^5.
(U - V)^2 = U^2 - 2UV + V^2
= (x + 1)^2 - 2 (2y^5 (x + 1) + 4y^10
= (x + 1)^2 - 4y^5 (x + 4) + 4y^10
Answer:
U = x + 4 and V = 2y^5.
Step-by-step explanation:
Factorise 6x2 - x - 2
Answers
Answer:
[tex] \boxed{\sf (3x - 2)(2x + 1)} [/tex]
Step-by-step explanation:
[tex] \sf Factor \: the \: following: \\ \sf \implies 6 {x}^{2} - x - 2 \\ \\ \sf The \: coefficient \: of \: {x}^{2} \: is \: 6 \: and \: the \: constant \\ \sf term \: is \: - 2. \: The \: product \: of \: 6 \: and \: - 2 \\ \sf is \: - 12. \\ \sf The \: factors \: of \: - 12 \: which \: sum \: to \\ \sf - 1 \: are \: 3 \: and \: - 4. \\ \\ \sf So, \\ \sf \implies 6 {x}^{2} - 4x + 3x - 2 \\ \\ \sf \implies 2x(3x - 2) + 1(3x - 2) \\ \\ \sf \implies (3x - 2)(2x + 1)[/tex]
Answer:
[tex] \boxed{(2x + 1)(3x - 2)}[/tex]Step-by-step explanation:
[tex] \mathsf{ {6x}^{2} - x - 2}[/tex]
Write -x as a difference
[tex] \mathsf{6 {x}^{2} + 3x - 4x - 2}[/tex]
Factor out 3x from the expression
[tex] \mathsf{3x(2x + 1) - 4x - 2}[/tex]
Factor out -2 from the expression
[tex] \mathsf{3x(2x + 1) - 2(2x + 1)}[/tex]
Factor out 2x + 1 from the expression
[tex] \mathsf{(2x + 1)(3x - 2)}[/tex]
[tex] \mathcal{Hope \: I \: helped!}[/tex]
[tex] \mathcal{Best \: regards!}[/tex]
What is the area of a circle with a radius of 35 inches?
in 2
(Use 3.14 for Pi.)
Answers
Answer:
3846.5 in.
Step-by-step explanation:
πr² = (3.14)(35)² = 3846.5 in.
