solve the simultaneous linear algebra quadratic equation 2x-y=8 3x-y=17​

Answers

Answer 1

Answer:

2x-y=8

(3x-y=17)*_1

2x-y=8

-3x+y=-17

#-x=-9, x=9 & y=-10

Answer 2

Answer:

x = 9  and y  = 10

Step-by-step explanation:

Subtract the second equation from 1 as in doing so the y will get cancelled as they are of the opposite sign.

2x - y = 8

-3x + y = -17

-----------------

- x = - 9

Therefore,

x = 9

Now we will add the value of x to any of the equation from the question.

2x - y = 8

2(9) - y = 8

18 - y = 8

Therefore,

y = 10


Related Questions

Use the discriminant to describe the roots of each equation. Then select the best description. 3x^2 - 10 = 0

A. Real and Rational Roots
B. Non-Real Roots
C. Double Root
D. Real and Irrational Roots​

Answers

The answer will be A

Figure 1 shows a paperweight made from a hollow hemisphere and a hollow cone. The paperweight contains sand so that the sand exactly fills the hemisphere. The radius of the hemisphere is equal to the radius of the base of the cone. The height of the cone is 15cm and the volume of the cone is 180π cm3 Figure 2 below shows the paperweight after it has been turned upside down. Diagram NOT accurately drawn h cm Figure 2 The height of the sand in the cone is h cm. Find, to 3 significant figures, the value of h.

Answers

Answer:

13.95 cm

Step-by-step explanation:

the volume of the cone =

⅓× π r². h = 180 π

⅓×π r²×15 = 180 π

(eliminate π)

=> 5r² = 180

r² = 180/5 = 36

r=√36 = 6 cm

the volume of the sand = ½×4/3 π r³

= ⅔× π ×6³ = 144π cm³

the ratio of the volume :

144π/180π = 0.8

so the value of h = ³√0.8 x 15 = 0.93× 15

= 13.95 cm

Which angle is congruent to 5?

Answers

Answer:

Angle #4

Step-by-step explanation:

4 & 5 are equal, and opposite.

1 & 2 are also congruent by this standard.

Plss help I don't understand A circle has a diameter that extends from (2,6) to (-6,-8). What are the coordinates the
center of the circle

Answers

Answer:

(-2, -1)

Step-by-step explanation:

The centre of a circle is located at the mid-point of any diameter, hence we take the average of the coordinates of the end-points.

Cx = (2-6)/2 = -2

Cy = (6-8)/2 = -1

So the centre is located at (-2, -1)

Select the correct difference.

5 d2 + 4 d - 3 less 2 d2 - 3 d + 4

7 d2 + 7 d - 7
3 d2 - 7 d - 7
3 d2 + 7 d - 7
7 d2 + d + 1

Answers

Answer:

+ 7 d - 7

7 d2 + d + 1

Step-by-step explanation:

+ 7 d - 7

7 d2 + d + 1

+7d-7
7d2+d+1
Hope this helps

You spin a spinner with 9 equal spaces numbered 1 through 9. What is the probability that the spinner lands on a 5 or a multiple of 3? I HAVE 5 MINS

Answers

Answer:

4/9

Step-by-step explanation:

The probability that the spinner lands on a 5 or a multiple of 3 will be 0.4444 or 44.44%.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

You spin a spinner with 9 equal spaces numbered 1 through 9.

Then the probability that the spinner lands on a 5 or a multiple of 3 will be

The total number of the event will be

Total events = 9

The favorable event will be

Favorable = 1 {5} and 3 {3, 6, 9}

Then the probability will be

P = 1/ 9 + 3/ 9

P = (1 + 3) / 9

P = 4/9

P = 0.4444

P = 44.44%

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Which of the following represents the factorization of the polynomial function graphed below?

Answers

Answer:

C is the answer of this question

Helpppp plz

What is the value of x?

Answers

Answer:

answer:

(x+34)+(2X+2)=180

3X+36=180

X=72

Step-by-step explanation:

Math help please show work thanks so much

Answers

Answer:

1.1+2. =3

2.1+2+3 =6

3.1+2+3+4 =10

4.1+2+3+4+5=15

5.1+2+3+4+5+6=21

6.1+2+3+4+5+6+7=28

triangle numbers

Answer:

Step-by-step explanation:

Diagram  (n)               Number of circles  ([tex]T_n[/tex])

 1                                       3

 2                                      6

 3                                      10

 4                                       15

 5                                       21  

 6                                       28

Pattern:

      [tex]T_n = \frac{(n+1)(n+2)}{2}[/tex]          

Where n = diagram number,        

OR

Diagram                                               Number of circles

 1                                                                  1 + 2

 2                                                                 1 + 2 + 3

 3                                                                  1 + 2 + 3 + 4

 4                                                                  1 + 2 + 3 + 4 + 5

 5                                                                  1 + 2 + 3 + 4 + 5 + 6

 6                                                                  1 + 2 + 3 + 4 + 5 + 6 + 7

 n                                                                  1 + 2 + 3 + 4 + 5 + . . . + (n + 1)  

Help me to do this question plz
I will make you as brainlist ​

Answers

Answer:

I don't understand the language but I can do it

someone pls answer this.

Answers

m= -6
-6 + 8 = 2
4/2 is the same thing as 4/2 Lol

Answer:

Step-by-step explanation:

25 points!! Question #2 Line I passes through the points (-4.-7) and (23) on the coordinate plane Line m passess through the points (-4,1) and (2,w). For what value of w is line m parallel to line I

11

-3

4

1​

Answers

Answer:

it will be -3

Step-by-step explanation:

[tex]\green{hello} [/tex]

-3 is the correct option

Use the coordinates of the labeled point to find a point-slope equation of the
line.
(-2,-5)
A. y + 5 = -2(x + 2)
B. y + 5 = 2(x + 2)
C. y - 5 = 2(x - 2)
D. y - 5= -2(x - 2)

Answers

the answer is A .

*don’t mind what I’m about to put .. this needs to be 20 characters long.*

hfkskdhshdisjjqjduzhanfosuandudhakeidb .

Hey can someone please help me?
I need to show work too :(

Answers

Answer:

a ≈ 14.39

Step-by-step explanation:

7² + a² = 16²

49 + a² = 256

49 - 49 + a² = 256 - 49

a² = 207

√a² = √207

a = 14.3874945699

a ≈ 14.39

Please help.
What is the area of triangle ABC?

Answers

Answer:

C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

how do i answer on the subjects

Answers

Answer:There is a button that says answer you click on answer and then give the answer and then once your finished click the green button on top that says add your answer.

Step-by-step explanation:

Answer:

---

Step-by-step explanation:

Either you can click on the "answer" button on the question in main menu, or you can click on the question, and then click the "add your answer" button.

---

hope it helps

With a 20% discount, Ella was able to save $40 on a dress. What was the original price of the dress?

Answers

The original price of the dress was $200. This is because 20% of 200 is $40 which was the price after the discount.
Hope this helps :>

Y'all I need help no links please will mark brainliest

The figure shows Triangle ABC and some of its transformed images on a coordinate grid:

A coordinate plane is shown. Triangle ABC Is formed by the points 2 commas 5, 2 comma 3, and 4 commas 3. Triangle 2 is formed by the points negative 3 commas 5, negative 3 commas 3, and negative1 comma 3. Triangle 1 is formed by the points negative 4 commas 5, negative 4 commas 3, and negative 6 commas 3. Triangle 3 is formed by the points negative 6 commas 2, negative 4 commas 2, and negative 4 commas 0. Triangle 4 is formed by the points 2 commas negative 1, 4 commas negative 1, and 4 commas negative 3.




Which of the four triangles was formed by a translation of Triangle ABC?
1
2
3
4

Answers

Answer:

Triangle 2

Step-by-step explanation:

The translation is a type of transformation, where the figure is just translated or simply moved from its original place.

The figure is not rotated or dilated but simply moved.

Here, we can see that only figure or triangle 2 is like the triangle ABC. Other triangles have undergone other transformations.

So, the correct answer is triangle 2.

~Hope this helps~

Which is odd one out? Explain how you know?
15,000 ones 1,500 tens 15 thousands 15,000 15 ten thousands

Answers

the answer is 15 ten thousand because all the other except this is equal to 15,000

I made a mistake while solving the inequality below. What mistake did I make? Explain what I should’ve done instead.

Answers

Answer:

Mistakes:

Used addition

Didn't flip inequality form

Corrections:

Divide each term

Instead of a positive value it should be negative

flip the direction of the inequality form

Step-by-step explanation:

[tex] - 9x \div - 9 \leqslant 90 \div – 9 [/tex]

cancel the common factor

[tex] \times \leqslant 90 \div - 9[/tex]

Divide 90 by – 9

Answer is:

[tex] \times \leqslant - 10[/tex]

Hope this helps!

Help,anyone can help me do quetion.​

Answers

Answer:

(a) x = [tex]128^{o}[/tex]

(b) x = [tex]74^{o}[/tex]

Step-by-step explanation:

A. sum of angles in a polygon = (n - 2) 180

The polygon given is an irregular pentagon, where n = 5

So that;

sum of angles in a pentagon = (5 - 2) 180

                        = 3 x 180

                        = [tex]540^{o}[/tex]

Thus,

x + 90 + 76 + 110 + 136 = [tex]540^{o}[/tex]

x + 412 = [tex]540^{o}[/tex]

x = [tex]540^{o}[/tex] - 412

x = [tex]128^{o}[/tex]

B. The polygon given is an irregular pentagon, where n = 5.

Let the supplementary angle with angle 38 be represented by y,

y + 38 = 180

y = 180 - 38

  = [tex]142^{o}[/tex]

y = [tex]142^{o}[/tex]

Let the supplementary angle with x be represented by z, so that;

z + 72 + 120 + 100 + 142 = [tex]540^{o}[/tex]

z + 434 = [tex]540^{o}[/tex]

z = [tex]540^{o}[/tex] - 434

  = [tex]106^{o}[/tex]

z = [tex]106^{o}[/tex]

But, x + z = [tex]180^{o}[/tex]

Then;

x + [tex]106^{o}[/tex] = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - [tex]106^{o}[/tex]

  = [tex]74^{o}[/tex]

x = [tex]74^{o}[/tex]

An 11% fee was
added to $125
credit card
purchase. What
was the total
purchase?

Answers

Answer:

$138.75

Step-by-step explanation:

t = total purchase

t = 125 + 125(11%)

 = 125 + 13.75

t = 138.75

The total purchase was $138.75.

Money in a bank triples every 9 years. If $100 is deposited today, what will it's value be after 36 years?

Answers

Answer:

[tex]\$8,100[/tex]

Step-by-step explanation:

We can denote this increase with the function [tex]y=3^x\cdot 100[/tex], where [tex]y[/tex] is value after [tex]\frac{x}{9}[/tex] years.

Substituting [tex]x=36[/tex], we get:

[tex]3^4\cdot 100=\boxed{\$8,100}[/tex]

Answer:

8,100

Step-by-step explanation:

The first 9 years would be 300, then 18 years would be 900, and 27 years it would be 2,700, and finally after 36 years it would be 8,100.

Select ALL the equivalent representations of 10 x 10 * 10°
1
A
1
1,000
103
B
10-3
0.01
E
C
0.001
103
F

Answers

Answer:

[tex] \frac{1}{10 \times 1 \times 10} \\ = \frac{1}{1000} \\ = 0.001 \\ = \frac{1}{ {10}^{3} } \\ = {10}^{ - 3} [/tex]

the answers A,B,C and D are equivalent

Find the average rate of change of a function that contains the points (-2,3) and (2,5)

Answers

Answer: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Rate of change are typically found using [tex]\frac{y_{2} -y_{1}}{x_{2}-x_{1} }[/tex].

[tex](x_{1}, y_{1}) = (-2, 3)\\(x_{2}, y_{2}) = (2, 5)\\\\\frac{5-3}{2-(-2)} =\frac{2}{2+2} =\frac{2}{4} =\frac{1}{2}[/tex]

Therefore, the rate of change(aka slope) is [tex]\frac{1}{2}[/tex].

is -cos(x) the same as cos(-x)?

Answers

Answer:

Not the same

Because if it derives, it will be positive and the other negative

The height of a triangle is 2 less than 3 times it's base. If the area of the triangle is 48cm squares determine the base and height?

Answers

answer

we assume the height of the triangle is x,

so the base length will be x+4

the triangle area will be area = 1/2 ( base * height)

48 = 1/2 (x + 4) x

96 = x2 + 4x

96 + 4 = x2 + 4x + 4

100 = (x + 2)2

10 = x + 2 (for the square 100, we ignore the -10, minus is meaningless in length )

x = 8

x + 4 = 8 + 4 = 12

so the height for the triangle is 8 unit, base is 12 unit,

brainliest ♥️


What is the quotient?


Answers

Answer:

I'm not good at math

Step-by-step explanation:

a result obtained by dividing one quantity by another.

Lorelei needs to find the distance across a lake. She locates two points on opposite sides of the lake, then walks a straight line from each point to a spot south of the lake. The path on one side is 444 feet long, while the other path is 552 feet long. The two paths meet at an angle of 68 degrees. find the distance across the lake to the nearest foot.

Answers

Answer:

564 ft

Step-by-step explanation:

We have two sides of the triangle and the included angle and we need to find the missing side.

Use the law of cosines:

[tex]c = \sqrt{a^2+b^2-2ab*cos C}[/tex][tex]c = \sqrt{444^2+552^2-2*444*552*cos (68)}[/tex] ≈ 564 ft

4x^2+9x+2 factoring

Answers

4x²+9x+2= 4x²+8x+x+2= 4x(x+2)+1(x+2)=(4x+1)(x+2)

Answer:

Step-by-step explanation:

4x^2+9x+2

4x^2+(8+1)x+2

4x^2+8x+x+2

4x(x+2)+1(x+2)

(4x+1)(x+2)

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