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The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

The given system of equations:

x  +  2y  =  1............(1)

-3x - 2y  =  5..........(2)

This can be written in matrix form as shown:

[tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right][/tex]

Find the determinant of [tex]\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right][/tex]

[tex]\triangle = 1(-2) - 2(-3)\\\triangle = -2+6\\\triangle = 4[/tex]

[tex]\triangle_x = \left[\begin{array}{ccc}1&2\\5&-2\end{array}\right]\\\triangle_x = 1(-2)-2(5)\\\triangle_x = -2-10\\\triangle_x =-12[/tex]

[tex]\triangle_y = \left[\begin{array}{ccc}1&1\\-3&5\end{array}\right]\\\triangle_y = 1(5)-1(-3)\\\triangle_y = 5 + 3\\\triangle_y =8[/tex]

[tex]x = \frac{\triangle_x}{\triangle} \\x = \frac{-12}{4} \\x = -3[/tex]

[tex]y = \frac{\triangle_y}{\triangle} \\y = \frac{8}{4} \\y = 2[/tex]

The solution to the system of equations x + 2y = 1  and -3x-2y = 5 is:

x  = -3,  y = 2

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Answer:

3

Step-by-step explanation:

3 * 10 = 30

Hope I could help!

It is B.

the question is so tough

The sum of 21 terms is -1080.

given:

- 18, - 15,-12.....

First term, a= -18

common difference, d= -15 + 18= -3

So, [tex]S_{21[/tex] = 21/2 [ 2(-18)+ (21- 1) (-3)]

[tex]S_{21[/tex] = 21/2 [ -36 + (20) (-3)]

[tex]S_{21[/tex] = 21/2 [ -36 - 60]

[tex]S_{21[/tex] = 21/2 (-96)

[tex]S_{21[/tex] = 21 x (-48)

[tex]S_{21[/tex] = -1008

Hence, the sum of 21 terms is -1080.

Learn more about Arithmetic progression here:

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Answer:

2(y+10)

Step-by-step explanation:

factor out the common term 2

Answer:

2(y + 10)

Step-by-step explanation:

cannot find y unless this is supposed to equal something, but this is how you factor out the answer. let me know if you have any other questions!

A statement is word so the sentences will be the words (I think)

Answer:

see explanation

Step-by-step explanation:

The perimeters of the similar figures have the same ratio as the sides.

ratio of perimeters = [tex]\frac{11}{6}[/tex]

ratio of areas = 11² : 6² , that is 121 : 36

ratio of areas = [tex]\frac{121}{36}[/tex]

Answer:

If its just 15 then its 1

Step-by-step explanation:

Because 15 divided by 1 is 15 which is the fraction.

Answer:

Below,...!

Step-by-step explanation:

15 is not a fraction as is you can put any number over a one and that whole number immediately becomes a fraction:

[tex]\frac{7}{1} or \frac{43}{1} or \frac{987}{1} or \frac{1}{1} or \frac{15}{1}[/tex]

15/1 is your fraction so 15/1 divided into 15 equals 1

[tex]\frac{15}{1} / 15 = 1/1 = 1[/tex]

Answer: 1

Chow,...!

Answer:

8/36= 2/9

Step-by-step explanation:

Answer:2/9

Step-by-step explanation:

Answer:

i know english only

Step-by-step explanation:

sorry but you stupit you not good at englis

first, let's break the equation down.

y=7x-4

-4 represents your staring coordinate, or your y-intercept. This is because -4 does not have an x after so you know it is equal to your y value. So you start at (0,-4)

Now all you need to do is the y=7x part.

The 7x represents your slope.

Slope is equal to rise/run or y/x.

So for each coordinate, you go up 7 and to the right 1.

(0,-4)

(1,3)

(2,10)

I hope this helps!

Answer:

Step-by-step explanation:

Let this relationship be:

Use the given numbers to find the value of k:

Answer:

1440 degrees.

Step-by-step explanation:

125 + 140 + 160 = 425 degrees.

The remaining angles are each 145.

The exterior angles of all polygons sum to 360 .

So we have exterior angles sum of the 3 given angles

= (180-125) + ( 180-140) + (180-160)

= 55 + 40 + 20 = 115.

So the remaining vale of the sum is 360 - 115

= 245 degrees.

An internal angle of 145 will give an external one of 35 degrees.

245/35 = 7.

So there are 7 145 degree angles in the polygon.

Sum of the interior angles is therefore:

425 + 7*145

= 1440 degrees.

This is a 10 sides polygon ( a decagon).

Answer:

The choice c) 4/9

I hope I helped you^_^

Answer:

x = 70

Step-by-step explanation:

Ok first let's find the angle where there is an exterior angle:

180-120=60

Then add this and the other inside known angle and subtract that from 180 to get your answer:

60+50=110

180-110=70

Answer:

70

Step-by-step explanation:

Sum of two interior angles equals to the exterior angle.

Answer:

[tex]\sf\longmapsto \: 550[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: 50 \times 11[/tex]

[tex]\sf\longmapsto \: 550[/tex]

Answer:

[tex]\sf 550[/tex]

Step-by-step explanation:

[tex]10 \times 5 = 50 \\ [/tex]

[tex]50 \times 11 = 550[/tex]

Answer:

B

Step-by-step explanation:

Answer:

68.4210526

Step-by-step explanation:

Hope this helps :)

Answer:

68.42

Step-by-step explanation:

and you can also derive that 38 percent of 68.42 equals 26.

Answer:

0.2

Step-by-step explanation:

If it takes 10 seconds to move 1 centimetres, and you want to know about 2 seconds, you can divide by 5 on both sides.

1/5 = 0.20

It takes 2 seconds to move 0.2 centimetres (aka 20 milimetres).

The snail will travel 0.2 centimetre in 2 seconds.

it takes the snail 10 seconds to move 1 centimetre. The means in every 10 seconds the snail moves 1 centimetre.

The distance the snail can cover in 2 seconds can be computed below:

10 seconds = 1 cm

2 seconds = ? cm

cross multiply

distance it takes the snail to travel in 2 seconds = 2 / 10

distance it takes the snail to travel in 2 seconds = 1 / 5

distance it takes the snail to travel in 2 seconds = 0.2 cm

Therefore, the snail will travel  0.2 cm in 2 seconds .

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Answer:

D. (x – 8)^2

Step-by-Step Explanation:

x2 - 16x + 64:

Step 1: Use the sum-product pattern.

[tex]x^{2} -16x+64\\x^{2} -8x-8x+64[/tex]

Step 2: Common factor from the two pairs.

[tex]x^{2} -8x-8x+64\\x(x-8)-8(x-8)[/tex]

Step 3: Rewrite in factored form.

[tex]x(x-8)-8(x-8)\\(x-8)(x-8)[/tex]

Step 4: Combine to a square.

[tex](x-8)(x-8)\\(x-8)^{2}[/tex]

Answer:

That is true

Step-by-step explanation:

9:2 = 18:4

9x2=18

2x2=4

Thus, this answer is true.

Answer:

Yes, because if you simplify 18:4, it would simplify to 9/2. Both ratios are equivalent.

Step-by-step explanation:

Answer:f(x) is 6)×-3

Step-by-step explanation:i think i it will help

Answer:

6 (2)^ = 6

6 (2)^2 = 24

a = 24

b = 6

y-intercept: (0,6)

y-intercept =

Step-by-step explanation:

6(2)^x

6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)

6 (2)^2 = 6 x 4 = 24

formula= LCM ×GCD of the numbers ÷ The first number

Answer:

Step-by-step explanation:

Answer:

We have to represent 1/4 in the number line .

So simply will first write it in Fraction form that is

So we have to represent it on number line .

1/4 we have to mark on the right side of number line because it is a positive number having no negative number . That is why we will mark it on the right side of the number line .

As we know the denominator is 4 so between every number we will keep four points distance.

After the zero the first point is number 1 and number 2 and number 3 and so on ...

The four points will consider number 1 , 2 , 3 , 4 and so on ...number after four points I have written 1 because there is the denominator 4 so we should keep 4 points distance in each number .

So , The number 1 we will mark and write the denominator 4

(You can see the number line from the attachment for better understanding)

Answer:

pi, 4, 8

Step-by-step explanation: