Determine the value of a so that x1-3x3=-3 2x1+ax2-x3=-2 (i)unique solution(ii)no solution(iii)many solutions

Answers

Answer 1

Answer:

(i)unique solution

Explanation:

We solve for x1 thus in the first equation:

x1-3x3=-3

x1-9=-3

x1=-3+9

x1= 6

We solve for a thus in the second equation:

2x1+ax2-x3=-2

2+a2-x3=-2

a2-x3=-4

a2=-4+x3


Related Questions

The sides of ∆ are 8 cm, 7 cm and 5 cm respectively. Find its semi-perimeter

Answers

perimeter = length plus

breadth

8cm +7cm + 5cm

= 20

PLS HELP ILL GIVE U BRAINLIST

A vector is 2.5 kilometers per hour at a bearing of of 50° West of North.

Find the magnitude of its vertical component.

lyl = v sin ©

A. lyl = - 1.9
B. lyl = 1.6
C. lyl = 2.5
D. lyl = 50°​

Answers

Answer:

B. |y| = 1.6

Step-by-step explanation:

A sketch of the vector is attached to this response.

As shown, the vector lies on the second quadrant and its horizontal and vertical components are given by x and y respectively.

Where;

|x| = v cos θ              -----------------(i)

|y| = v sin θ               -----------------(ii)

and

v = magnitude of the vector = 2.5km/hr

θ = angle that the vector makes with the +x axis = 90° + 50° = 140°

To get the magnitude of the vector's vertical component

Substitute these values into equation(ii) as follows;

|y| = 2.5 sin 140°

|y| =  2.5 x 0.6428

|y| = 1.607

|y| ≅ 1.6 km/hr

Therefore, the vertical component of the vector has a magnitude of 1.6 km/hr.

 

Can someone pls help me?

Answers

Answer:

4 a

9 b

i think its a answer

Answer:

if we have to choose the option than it might be B but i didn't get question

Solve using the Applicable Variation

The height of a TV varies directly with its width. If a TV with a width of 16 inches has a height of 9 inches, find the width of a TV with a height of 20.25 inches.

I'm so lost :'(​

Answers

Answer:

36

Step-by-step explanation:

9/16 = 20.25/?

16x20.25÷9= 36

Kristian buys a meal for $8.40 calculate the fraction of the $72 after buying the computer game which costed $32.40 and the meal. give ur answer in its lowest terms​

Answers

Answer:

After buying the meal and the computer game, Kristian has 43.33% of his money left.

Step-by-step explanation:

Given that Kristian buys a meal for $ 8.40, to calculate the fraction of the $ 72 after buying the computer game which cost $ 32.40 and the meal, the following calculation must be performed:

72 = 100

8.40 + 32.40 = X

72 = 100

40.80 = X

40.80 x 100/72 = X

4,080 / 72 = X

56.66 = X

100 - 56.66 = 43,333

Therefore, after buying the meal and the computer game, Kristian has 43.33% of his money left.

pls help plsssss sss sss sss s

Answers

25√2

Step-by-step explanation:

Since angle BAC and angle ABC are equal, AB = BC.

Let x = AB = BC

By the Pythagorean theorem,

AB² + BC² = AC²

x² + x² = 50²

2x² = 2500

x²= 1250

x = √1250

x = √(2 • 625)

x = √2 • √625

x = √2 • 25

x = 25√2

x = AB = 25√2

4(a + b) - x²(a + b)​

Answers

=(4-x^2)(a+b)

=(2^2-x^2)(a+b)

=(x+2)(x-2)(a+b)

I think it hopefull to you

Answer:

(a+b) (2-x)(2+x)

Step-by-step explanation:

2^2

The term (a+b) is the same

We can factor this out

(a+b) (4-x^2)

(4-x^2) is the difference of squares (2^2 - x^2)

We know the difference of squares is (a^2 - b^2 ) = (a-b)(a+b)

(a+b) (2-x)(2+x)

If you want to distribute the terms

4a+4b -x^2a - x^b

Angle of elevation and depression: A boy 1.5m tall is 15m away from the hut. what is the angle of elevation of the top of the hut.​

Answers

Answer:

13.5m

Step-by-step explanation:

The boy is 1.5m tall so you subtract that by 15m and you get 13.5m

is 2x+3y=5 a straight-line graph​

Answers

Answer:

Yes, it is

Step-by-step explanation:

A straight line graph is of the general form;

y = mx + b

where m is the slope and b is the y intercept

We can rewrite what we have as

3y = -2x + 5

y = -2x/3 + 5/3

As we can see, it can be expressed in the general form and that makes it a straight graph

What is in ? Record the measurement.

Answers

Answer:

In could be mean inches? otherwise there is not enough context to know sorry :/

Step-by-step explanation:

Answer:the answer is 90

What is the domain of the function shown in the table? y X -2 -1 0 1 1 2 3 O A. (-2,-1,0,1,2,3} O B. (-2,0),(-1,1),(0, 2), (1,3)​

Answers

Answer:

(0,2)

Step-by-step explanation:

the bracket cancel

pleaseee answer quickly

Answers

Answer:

4.  3 units

5. Triangle  

6.  (0,2)

Step-by-step explanation:

4. The distance between the x axis and the point (8,3) is 3 units

5. Triangle  will be formed if the points A(-3, 0), B (0,3) and C (3,0) are joined together

6. Since the point lie on the y-axis, its x co-ordinate will be zero and the point will be (0,2)

Which Statement or Inequalities describe the number line graph?

Answers

I might be wrong but:

x is less than negative three and x is greater than or equal to negative one.

Inequality is x<-3 and x ≥ -1

Devons current financial goals are to reduce his credit card debt start a retirement plan and save for a down payment on a house which smart goal attribute in the table applies to each of devons financial goals

Answers

Answer:

timely, timely,measurable

Step-by-step explanation:

Answer:

specific, timely, measurable

Step-by-step explanation:

i took the test on plato

this we havent learned but teacher gave us for end of year est plz help

Answers

Answer:

15

Step-by-step explanation:

Finding total number of pupils(y)

3/y x 360°=27°

3x360°/y=27°

1080°/y=27°

1080°=27°y

1080°/27°=27°y/27°

40=y

Number of pupils who said that Maths was their favorite (z)

z/40x360°=135°

360°z/40=135°

360°z=135°x40

360°z=5400°

360°z/360°=5400°/360°

z=15

Sean las proposiciones p : "Cinco es mayor que diez" y q : "Dos más dos son cuatro". Escriba en lenguaje natural la proposición ∼p∧q

Answers

Answer:

"cinco es menor o igual que diez, y dos más dos son cuatro"

Step-by-step explanation:

Primero definamos los simbolos utilizados.

∧ significa "y"

∼ es el simbolo de la negación, es decir:

∼p significa "no p"

terminemos de resolver el problema para que el concepto quede claro.

si:

p = cinco es mayor que diez  (5 > 10)

entonces:

∼p = cinco es menor o igual que diez   (5 ≤ 10)

y

q = dos más dos son cuatro. (2 + 2 = 4)

entonces:

∼p∧q se escribe como:

"cinco es menor o igual que diez, y dos más dos son cuatro"

what is the solution to the system of equations?

6x+2y=6

7x+3y=5

Answers

The answer is (2,-3)

Answer:

x = 2, y = -3

Step-by-step explanation:

6x + 2y = 6         (multiplying by 3)

18x + 6y = 18    -----> (i)  

7x + 3y = 5 (multiplying by 2)

14x + 6y = 10    -----> (ii)

Subtracting (i) from (ii)

18x + 6y - 14x + 6y = 18 - 10

4x = 8

x = 2

Substituting in (ii)

14x + 6y = 10

14(2) + 6y = 10

28 + 6y = 10

6y = -18

y = -3

Here is some information about a holiday.

7 night holiday
$340 per person
8% discount if you book before 31 March

On 15 February, Naseem books this holiday for 2 people.
Calculate the total cost of his holiday.

Answers

Answer:

$625.6

Step-by-step explanation:

Information about a holiday:

7 night holiday

$340 per person

8% discount if you book before 31 March

Number of people Naseem booked the holiday for = 2

Date of booking of the holiday = 15 February

Total cost of the holiday per person = cost per person - discount before March 31

= $340 - 8% of $340

= 340 - 8/100 * 340

= 340 - 0.08 * 340

= 340 - 27.2

= $312.8

Total cost of the holiday for 2 persons = 2 × Total cost of the holiday per person

= 2 * $312.8

= $625.6

(2y + x)^
(4x)
(2y - x)°
Find the value of x.
A 9
В. 18
C 45
D. 90

Answers

Answer:

they are opposite degrees so we can say that 4x=2y-x

Step-by-step explanation:

5x=2y and we complete 4x+(2y+x)=180. and then 5x+2y=180. put 2y from 5x. 4y=180 y= 45 and x= 18°

Now,

(2y + x)° + (2y - x)° = 180° ( straight angle )

or, 2y + x + 2y - x = 180°

or, 4y = 180°

y = 45°

Then,

4x = 2y - x ( vertically opposite angle )

or, 4x = 2*45° - x

or, 5x = 90°

or, x = 90°/5

x = 18 °

I hope it's help you...

Mark me as brainliest...

Compare. Use >, <, or =.

123,546,789 >, <, or =, 123,456,789

please help

Answers

Step-by-step explanation:

123,546,789 > 123,456,789

#CMIIW

i need help like asap!!!!

Answers

Answer:

to do this lets first solve this so

5*5*5*5=625

5^-3=0.008

0.008^2=0.000064

0.000064*625=0.4

so all equations that are equal to 0.4 are right which is C

The sum of 20 and b is equal to 32.99
need help

Answers

Answer:

b is 12.99

Step-by-step explanation:

Brian invests £1500 into his bank account. He receives 2% per year simple interest. How much will Brian have after 3 years? Give your answer to the nearest penny where appropriate

Answers

Answer:

1590

Step-by-step explanation:

1500 x 0.02

= 30

30 x 3

= 90

1500+90 = 1590

(ps.. there was an equation for this i just forgot it, you can look it up and check it)

Keegan deposited $700 into his bank account. After one year, his bank account balance was $761.60. What interest rate did he earn?

Answers

Answer:

8.8%

Step-by-step explanation:

We first divide the new amount by the original and close it with brackets.

Our one year will be shown as 1/1 as an indices

(761.60/700)^1/1

= 1.088

We then convert it to 0.088 and times it by 100.

0.088×100= 8.8% Compound interest rate.

This is correct as:

700×1.088= 761.6

Have a nice day! :)

25 + 8 (7y - 3) + 3y

Answers

Answer:

59y+1

Step-by-step explanation:

25 + 8 (7y - 3) + 3y

Distribute

25+56y-24+3y

Combine like terms

59y+1

Point A is a representation of which number on the number line?

Answers

The answer is going to be B) -3

Can someone answer this?

Answers

Answer:  a = 100

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

Explanation:

There are n = 7 sides to this polygon (so it's a heptagon)

The interior angles add up to 180(n-2) = 180*(7-2) = 900 degrees.

So that means,

69+284+62+62+242+81+a = 900

800+a = 900

a = 900-800

a = 100

A yard in the shape of a square measures a ft on each side. A flower bed is dug up in the shape of a triangle with a/4 ft height of the triangle and a/2 ft base of the triangle. How much yard area is left over?

Answers

Answer:

[tex]A_X=\frac{15x^2}{16}[/tex]

Step-by-step explanation:

From the question we are told that:

Base of Flower bed [tex]b=\frac{x}{2}[/tex]

Height of Flower bed [tex]h=\frac{x}{4}[/tex]

Generally the equation for Area of garden left A_X is mathematically given by

 [tex]A_X=Area\ of\ Garden\ A_g\ - Area\ of\ flower\ bed\ A_f[/tex]

Where

 [tex]A_f=b*h[/tex]

 [tex]A_f=\frac{1}{2}*\frac{x}{2}*\frac{x}{4}[/tex]

 [tex]A_f=\frac{x^2}{16}[/tex]

Therefore

 [tex]A_X= A_g - A_f[/tex]

 [tex]A_X=x^2-\frac{x^2}{16}[/tex]

 [tex]A_X=\frac{15x^2}{16}[/tex]

please help me

No guess ​

Answers

Answer:

C. -7 or C. Negative seven

The answer is -7 I hope

cual es el area de 9 cm y la medidad de 20 cm??

Answers

Answer:

9x20 = 180

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