Solve the following 3 × 3 system. Enter the coordinates of the solution below.
2x – 3y – 2z = 4
x + 3y + 2z = –7
–4x – 4y – 2z = 10

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

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

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.

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.

Answer:

C is the answer of this question

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:

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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.

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hope it helps

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)

Answer:

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:

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]

Answer:

it will be -3

Step-by-step explanation:

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

-3 is the correct option

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)

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~

Answer:

Step-by-step explanation:

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!

Answer:

C

Step-by-step explanation:

Answer:C

Step-by-step explanation:

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%.

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

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

Answer:

Not the same

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

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)  

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

Answer:

I'm not good at math

Step-by-step explanation:

Answer:

answer:

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

3X+36=180

X=72

Step-by-step explanation:

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 ♥️

Answer:

+ 7 d - 7

7 d2 + d + 1

Step-by-step explanation:

+ 7 d - 7

7 d2 + d + 1

Answer:

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

Answer:

would it be 2,3,4,5,6,7,8,9,10,11,12 or 2,3,3,4,4,4,5,5,5,5, etc?

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].