PLZZ HELPPP

Which matrix equation can be used to solve the system?
x+y=21
5x+4y=20

PLZZ HELPPPWhich Matrix Equation Can Be Used To Solve The System?x+y=215x+4y=20

Answers

Answer 1

Answer:

[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]

Step-by-step explanation:

Given the simultaneous equation

x+y=21

5x+4y=20

To write in matrix form, it must be in the form AX= b

X = A⁻¹b

A⁻¹ is the inverse of matrix A

A is a 2by2 matrix

X is the variables

b is a column matrix

The expression will therefore be written as;

[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]

Hence the required product matrix that represent X is;

[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]


Related Questions

How many quarters are there in 5 3/4?

Answers

Answer:

One quarter= 1/4

5 3/4= 23/4

Number of quarters in 5 3/4= 23/4 divided by 1/4

23/4 ÷ 1/4

= 23/4 × 4

=23

I hope this helps!

Answer:

23

Step-by-step explanation:

5x4 + 3

5 x 4 = 20

20 + 3 (3 Is the fraction part)

Name the identical triangles and measurement of side BA

Answers

Step-by-step explanation:

BE/BC=BD/BA

tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.

4/(4 + 10) = 5/(5+X) Cross Multiply

4(5+x) = 5(4+10)m

20 +4x=20 +50 subtract 20 from both sides

4x = 50 divide by 4

x =12.5

Find the value of x. Around the length to the nearest tenth.

Answers

Answer:

x = 6 m

Step-by-step explanation:

x = 16sin22°

x = 6.0 m

Answer:

Step-by-step explanation:

The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.

Answers

Answer:

a) The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is approximately 14.866 centimeters.

Step-by-step explanation:

a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:

[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]

[tex]A = 43\,cm^{2}[/tex]

The area of the triangle AQB is 43 square centimeters.

b) The length of the line segment AQ is determined by Pythagorean Theorem:

[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)

[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]

[tex]AQ \approx 14.866\,cm[/tex]

The length of the line segment AQ is approximately 14.866 centimeters.

a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec​

Answers

Answer:

0.075 metre

2000 mm

500 cm

0.001 gram

1.5 × 10-6 kilogram

86400 second

18000 second

Step-by-step explanation:

hope it helps

Answer:

a) 0.075 m

b) 2000 mm

c) 500 cm

d) ?

e) 0.0015 kg

f) 86400 seconds

g) 18000 seconds

Can someone help me? It's urgent and thank you!

Answers

Answer:

6 percent

Step-by-step explanation:

None

It is 6.4% for everyone that is confuse on the first person who answer this

A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?

Answers

Answer:

The customer should pay RS 506 for a novel book costing RS 450.

Step-by-step explanation:

We are given that

Selling price of calculator, S.P=RS 756

Cost of calculator, C.P=RS 700

We have to find S.P of novel book when the cost of novel book RS 450.

Profit=S.P-C.P

Profit=756-700

Profit=RS 56

Profit of each item is equal.

Therefore, profit for novel book=RS 56

C.P of novel book=RS 450

S.P=C.P+ Profit

Using the formula

S.P=450+56

S.P=RS 506

Hence, the customer should pay RS 506 for a novel book costing RS 450.

12 points!! Please help out if you can! Means so much!!

Answers

Answer:

(2w+2)(w+8) ≤ 100

Step-by-step explanation:

Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?

Answers

Answer:

24 inches

Step-by-step explanation:

2 yards to inches :

2 x 12 = 24

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

72 inches

Step-by-step explanation:

1 yard = 3 feet

1 foot = 12 inches

1 yard = 3(12) inches or 36"

∴ 2 yards = 72 inches

120 to 150 find the percentage of increase

Answers

Answer:

25%

Step-by-step explanation:

increase by = 150 - 120

=30

increase percent = 30/120 * 100%

=3000/120

=25 %

Answer:

25%

Step-by-step explanation:

Percentage increase=(new value-original value)/(original value) x 100%

Percentage increase=(150-120)/120 x 100%

Percentage increase=30/120 x 100%

Percentage increase=1/4 x 100%

Percentage increase=25%

Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.

Answers

Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Meaning of Congruent quadrilaterals

A quadrilateral can be defined as a polygon shape that possesses four sides.

Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.

For example, a parallelogram needs to be proved by both the sides and the angles

In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°

Learn more about Congruent quadrilaterals: https://brainly.com/question/224113

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What are biofertilisiers​

Answers

Answer:

Step-by-step explanation:

biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals

Answer:

Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.

Step-by-step explanation:

Hope this helps

what value of x makes this preportion true? (2.12.3) (15 points)

Answers

Answer:

A

Step-by-step explanation:

Given

[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )

24x = 216 ( divide both sides by 24 )

x = 9 → A

Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.

How many hours does Jada need to walk dogs to earn enough money to buy the jacket?


6 hours

7 hours

8 hours

9 hours

Answers

Answer:

8 hours

Step-by-step explanation:

In 4 hours she earns 16 dollars

Since this is proportional ( goes through zero), we can multiply by 2

8 hours = 32 dollars

Jada needs to walk the dog for, 8 hours.

4x8 = 32

Answer the following

Answers

Answer:

Step-by-step explanation:

If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)

Answers

Answer: Choice E. 4/sqrt(7)

This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]

=================================================

Explanation:

0.75 = 3/4

Recall that cosine is the ratio of adjacent over hypotenuse.

That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.

Through the pythagorean theorem, we would then find that

a^2+b^2 = c^2

a = sqrt(c^2 - b^2)

a = sqrt(4^2 - 3^2)

a = sqrt(7)

This is the opposite side of reference angle theta.

From here, we can say

csc(angle) = hypotenuse/opposite

csc(theta) = 4/sqrt(7)

which points to choice E as the final answer.

If y=2x+5, then determine the value of y if x=4.

Answers

y= 11.
2 plus 4 is 6 and 6 plus 5 is 11.

Using the following image, find GH given HI = 1 and GI =
= 9.

Answers

Answer:

8

Step-by-step explanation:

Answer:

[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]

Show √7 , √5 on a number line.

please hurry up my cissy and oppa

Answers

Answer:

Draw the number line like in the picture.

Step-by-step explanation:

√5 is about 2.236, meaning it's kind of close to 2.25.

√7 is about 2.646, meaning it's very close to 2.625.

if x4 + 1/x4 = 4 find the value of x2+1/x2​

Answers

Answer:

Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

Step-by-step explanation:

I think its 2

Solve -2x + 6 = -20. -7 -13 7 13

Answers

Answer:

13

Step-by-step explanation:

-2x + 6 = -20

Step 1 subtract 6 from both sides

6 - 6 cancels out

-20 - 6 = -26

We now have -2x = -26

Step 2 divide both sides by -2

-2x/-2 = x

-26/-2 = 13

We're left with x = 13

Which statement is true regarding the graphed functions?

Answers

Answer:

f(2) = 0 and g(2) = 0

f(2) = g(2) TRUE

b) f(0) = 2 and g(0) = -2

f(0) = g(0) FALSE

c) f(2) = 0 and g(0) = -2

f(2) = g(0) FALSE

d) f(0) = 2 and g(2) = 0

f(0) = g(2) FALSE

What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).

Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.

Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.

Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:

[tex]x=-3[/tex]

I hope this helps!

What are the domain and range of the function?

Answers

Answer: Domain: (-inf,inf) Range; [-4,inf)

Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore,  [-4,inf). Also, infinity always has a parenthesis.

Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?

Answers

Answer:

TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.

The sample space for rolling a number cube and then tossing a coin is:

{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

The elements can be any of the elements in the sample space.

What is sample space?

It is the total number of possible outcomes from a given set.

We have,

The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.

Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).

Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).

So,

The sample space for rolling a number cube and then tossing a coin is:

{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.

Thus,

The sample space for rolling a number cube and then tossing a coin is:

{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

Learn more about sample space here:

https://brainly.com/question/24273864

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For what values of x is the expression below defined?
x +3 + x1 - x
O A. 35xs1
O B. 3 > XS-1
O C. 3 >x>1
O D. -3 sx< 1

Answers

Answer:

D. - 3 ≤ x < 1

Step-by-step explanation:

The numerator cannot be the square root of a neg. no.

So, x + 3 ≥ 0 or x ≥ -3

The denominator cannot be a neg. no. or 0.

So, 1 - x > 0

1 > x or x < 1

So, altogether - 3 ≤ x < 1

Therefore, D is the correct answer.

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4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9

Answers

Answer:

option 3 : (2x - 7 )

Step-by-step explanation:

ax + bx = x(a+ b)

a(x+ y) + b(x+y) = (x+y)(a+b)

[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex]      [ (2x + 5) is common is both terms ]

[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]

Therefore , the binomial is ( 2x - 7)

the measures of the angles of a triangle are shown in the figure. solve for x

Answers

Answer:

10

Step-by-step explanation:

First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180

90+27+6x+3=180

Add up left side

120+6x=180

Subtract 120 from both sides

6x=60

Divide both sides by 6

x=10

Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8​ Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.

Answers

Responder:

m = 7; n = - 3

Explicação passo a passo:

Dada a equação:

m − 3n = 16m + 5n = −8

Resolvendo a equação:

m − 3n = 16 - - - (1)

m + 5n = - 8 - - - (2)

Subtraia 1 de 2

m - m - 3n - 5n = 16 - - 8

-3n - 5n = 16 + 8

-8n = 24

n = 24 / - 8

n = - 3

Coloque n = - 3 em (1)

m − 3n = 16

m - 3 (-3) = 16

m + 9 = 16

m = 16 - 9

m = 7

Please help me lovee<3

Answers

It is b yes she was right
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