The row-echelon form of the augmented matrix of a system of equations is given. Find the solution of the system. FYI it’s not b

Answer:

[tex]\large \boxed{\mathrm{B. \ 84}}[/tex]

Step-by-step explanation:

[tex]LU[/tex] bisects [tex]RU[/tex] and [tex]UA[/tex].

[tex]RU=UA[/tex]

[tex]3m+21=6m[/tex]

Solve for m.

Subtract 3m from both sides.

[tex]21=3m[/tex]

Divide both sides by 3.

[tex]7=m[/tex]

Calculate [tex]RA[/tex].

[tex]RA=3m+21+6m[/tex]

[tex]RA=9m+21[/tex]

Put m = 7.

[tex]RA=9(7)+21[/tex]

[tex]RA=63+21[/tex]

[tex]RA=84[/tex]

Answer:

B) 84

Step-by-step explanation:

ΔLRU ≅ ΔLAU   {SAS congruent}

Therefore, UA = UR    {CPCT}

 6m = 3m +21

Subtract 3m from both sides

6m - 3m = 3m + 21 -3m

        3m = 21

Divide both sides by 3

    3m/3 = 21/3

m = 7

RA = RU + UA

    = 3m + 21 + 6m {add like terms}

    = 9m + 21   {Plug in m =7}

    = 9*7 + 21

    = 63 + 21

RA = 84 units

[tex]\\ \sf\longmapsto 7x-27=1[/tex]

[tex]\\ \sf\longmapsto 7x=1+27[/tex]

[tex]\\ \sf\longmapsto 7x=28[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{28}{7}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Answer:

$240 extra

Step-by-step explanation:

1/3(7200) + 12(420) = 2400 + 5040 = 7440

7440 - 7200 = 240

The customer had to pay 1720 extra.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

A car is priced at $7200.

If the deposit is one third = 7200/3

                                          = 240

The amount after 12 payments will be

= 240 x 12

= 2880

total cost will be

= 2880 + 2400

= 5280

and, The customer had to pay extra amount

= 7200 - 5280

= 1720

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Answer:

140

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

x = 72 + 68

x = 140

Answer:

Jim's claim is correct

Step-by-step explanation:

Total survey=100 people

Morning exercise=35 people

Afternoon exercise=45 people

Night exercise=20 people

Morning exercise : Total survey

=35 : 100

Afternoon exercise : Total survey

=45 : 100

Night exercise : Total survey

=20 : 100

Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.

Tara's claim however seems to relate one variable with two other variables

Example:

35 : 55

Morning exercise : (morning exercise + night exercise)

35 : (35+20)

35 : 55

Answer:

Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.

Answer:

x = 10

Step-by-step explanation:

5x - 6 = 44

Add 6 on both sides of the equation.

5x = 50

Divide by 5 on both sides of the equation.

x = 10

So, the value of x is equal to 10

Answer:

x=10

Step-by-step explanation:

5x-6=44

grouping constants and numbers with coefficient of x we get

5x=44+6

5x=50

5x/5=50/5

x=10

Answer:

[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]

Step-by-step explanation:

We need to find the value of expression [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}[/tex].

Firstly solving the second term as :

[tex](2-\dfrac{3}{8})=\dfrac{16-3}{8}=\dfrac{13}{8}[/tex]

Now the above expression becomes,

[tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}\\=\dfrac{-3}{2}-\dfrac{13}{8}+\dfrac{3}{2}[/tex]

-3/2 and +3/2 equals 0.

It means that, [tex]\dfrac{-3}{2}-(2-\dfrac{3}{8})+\dfrac{3}{2}=\dfrac{-13}{8}[/tex]

Answer:

D

Step-by-step explanation:

The slope of the line is - 1/4. The equation of the line is y=(-1/4x)+5

Answer:

-7

Step-by-step explanation:

*Two negatives will cancel out and turn into addition.

-12 - (-5)

Subtract 12 from 5 and add the negative sign:

-12 + 5 =

  -7

The answer would be -7

Hope this helped.

Step-by-step explanation:

x= 9

[tex] {x}^{2} + 9 \div x + 1[/tex]

[tex] {9 }^{2} + 9 \div 9 + 1[/tex]

[tex]81 + 9 \div 10[/tex]

[tex]90 \div 10[/tex]

[tex]9[/tex]

Answer:

centre = (11, 0 ), radius = 3

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - h)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Given

(x - 11)² + y² = 9 ← in standard form

with (h, k ) = (11, 0 ) and r² = 9 ⇒ r = [tex]\sqrt{9}[/tex] = 3

centre = (11, 0 ) and r = 3

Answer:

-17.3

Step-by-step explanation:

To solve for x, we can divide both sides by -3:

x = -52 / 3 which = -17.3

Answer:

Step-by-step explanation:

[tex] \sf{ - 3x = 52}[/tex]

Divide both sides of the equation by -3

⇒[tex] \sf{ \frac{ - 3x}{ - 3} = \frac{52}{ - 3} }[/tex]

Calculate

⇒[tex] \sf{x = - 17.33}[/tex]

Hope I helped!

Best regards!!

Answer:

d.13 the measure of eg that's the answer

Answer:

52°

Step-by-step explanation:

360 - 33 - 165 - 20 - 90 = x

x = 52

Answer:

Step-by-step explanation:

Let's find the size of angle x

The angle in a complete turn add up to 360°

[tex] \mathsf{x + 20 + 165 + 33 + 90 = 360}[/tex]

Add the numbers

[tex] \mathsf{x + 308 = 360}[/tex]

Move constant to R.H.S and change it's sign

[tex] \mathsf{x = 360 - 308}[/tex]

Calculate the difference

[tex] \mathsf{x = 52}[/tex] °

Hope I helped!

Best regards!

Answer:

Step-by-step explanation:

The cross-section is an 8”×13” rectangle.

Area = 104 square inches

Answer:

C. 2 [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

First, calculate the amount of clay that both groups used in total. We can find this by multiplying the amount by the number of students.

Used 3/4 of a pound:

3/4(4) = 3 pounds

Used 1/4 of a pound:

1/4(3) = 3/4 pound

Now, subtract:

3 - 3/4 = 2 and 1/4

Answer

i got it right

C. 2

Answer:

365.7 km²

hopefully this answer can help you to answer the next question.

Answer:

1/2b*h

1/2 6*27

162/2

81 is the answer

Answer:

Hello,

[tex]\begin{bmatrix}-2&2\\3&5\\\end{bmatrix}\\\\[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}3&1\\-2&-3\end{bmatrix}+\begin{bmatrix}1&0\\0&1\end{bmatrix}\\\\\\\begin{bmatrix}2&3\\5&7\end{bmatrix}-A=\begin{bmatrix}2&3\\5&7\end{bmatrix}-\begin{bmatrix}4&1\\-2&-2\end{bmatrix}\\\\\\A=\begin{bmatrix}-2&2\\3&5\end{bmatrix}\\\\[/tex]

Answer:

For number 5 . a= 3 and b = -1

area of shaded region is 537.5cm^2

y=-1.4x

Step-by-step explanation:

divide the change in y by the change in x to find the gradient,

7 divided by -5 [as the translation is to the left].

there might be a y intercept value, c as in

y=mx + c but with the given information without  thee starting points it is hard to find

The required equation of the graph that results from the translation is y = √(x + 5) + 7.

Translation on a coordinate plane is a transformation that moves an object or figure from its original position to a new position in a straight line. It is also called a "slide." In translation, all points of the object are moved by the same distance in the same direction.

Here,
To shift the graph of the function y = √x to the left by 5 units, we need to replace x with x + 5 in the equation. This will give us the graph of y = √(x + 5).

To shift the graph 7 units up, we need to add 7 to the entire function. This will give us the final equation of the translated graph:

y = √(x + 5) + 7.

Therefore, the equation of the graph that results from the translation is y = √(x + 5) + 7.

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Answer:

17.2a+14.6

Step-by-step explanation:

Answer:

The 100 students who are asked questions.

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

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Step-by-step explanation:

Let SP1 be x

P%=10%

CP=SP×100/100+%P

= x+100/100+10

= 100x/110

SP2= x+55

CP= SP×100/100+%P

or 100x/110= x+55×100/120

or x/110=x+55/120

or 24x-22x=22×55

or 2x=1210

or x=1210/2

or x=605

Now,

CP=100x/110

=100×605/110

=60500/110

=Rs 550

Answer:

No solution

Step-by-step explanation:

1 = 1/3(2) + 5

1 = 17/3

1 is not equal to 17/3

so the answer has no solution meaning the point does not exist in the graph.

Answer:

3 terms

Step-by-step explanation:

A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.

In the expression, [tex] 1 + 2k - j [/tex] , there are 3 terms here spared by either the negative sign or the positive.

The 3 terms are: [tex] 1, 2k, j [/tex].

Answer:

Step-by-step explanation:

Domain of a function represents the set of x-values (input values) and y-values (output values) of the function represent the Range of the function.

Given function is,

[tex]y=-\frac{2}{3}x+7[/tex]

If Domain (input values) of this function is,

{-12, -6, 3, 15}

Table for the input-output values of this function,

x        -6         3        15       -12

y        11         5         -3        15

Answer:

Step-by-step explanation:

Answer:

Hello,

None !!!

Step-by-step explanation:

[tex]f(x)=x(x+5)(x+2)\\=x(x^2+5x+2x+10)\\\\=x^3+7x^2+10x\\[/tex]