what is the length of side BC in the right triangle

A.225
B.21
C.3
D.15
E.63
F.
[tex] \sqrt{63} [/tex]


​

Eliminating y right away is easiest. Add -3(equation 1) to equation 2, and add 3(equation 3) to equation 2:

-3(2x + y + 3z) + (-3x + 3y - 2z) = -3(3) + (-8)

-6x - 3y - 9z - 3x + 3y - 2z = -9 - 8

-9x - 11z = -17

9x + 11z = 17   [equation 1]

3(5x - y + 5z) + (-3x + 3y - 2z) = 3(13) + (-8)

15x - 3y + 15z - 3x + 3y - 2z = 39 - 8

12x + 13z = 31   [equation 2]

Eliminating x next is easier than eliminating z. Add -4(equation 1) to 3(equation 2):

-4(9x + 11z) + 3(12x + 13z) = -4(17) + 3(31)

-36x - 44z + 36x + 39z = -68 + 93

-5z = 25

z = 25/(-5)

z = -5

Plug this into either of the previous equations and solve for x :

9x + 11z = 17

9x + 11(-5) = 17

9x - 55 = 17

9x = 72

x = 72/9

x = 8

Plug x and z into any of the 3 original equations and solve for y :

2x + y + 3z = 3

2(8) + y + 3(-5) = 3

16 + y - 15 = 3

1 + y = 3

y = 2

Answer:

a) 60 %

b) 55%

These are the answers.

Answer: 0.6 or 60%

Step-by-step explanation: Uh calculator

Answer:

2,160

Step-by-step explanation: since M is proportional to L^3 so when L=2 then L^3=8 so M=160 which means if L = 3

When L = 3, the value of M is 540. The relationship between M and L³ holds true.

When two variables, M and L, are directly proportional, it means that their ratio remains constant.

In this case, M is directly proportional to L³, which can be written as M = k × L³, where k is the constant of proportionality.

To find the value of k, we can use the given information when L = 2, and M = 160:

160 = k × 2³

160 = k × 8

k = 160 / 8

k = 20

Now that we have the value of k, we can find the value of M when L = 3:

M = 20 × 3³

M = 20 × 27

M = 540

So, when L = 3, the value of M is 540. The relationship between M and L³ holds true for any value of L when multiplied by the constant of proportionality k, which we found to be 20 in this case.

To learn more about the proportional relationship;

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#SPJ3

Answer:BY  is the answer

Answer:

the answer is 3,456 I hope it helps

1. The length of the safety rail = Arc length is: 15.7 yd

2. The area of the deck = area of sector is: 78.5 yd²

Area of sector = ∅/360 × πr²

Arc length = ∅/360 × 2πr

1. Length of the safety rail = Arc length = ∅/360 × 2πr

= 90/360 × 2π(10)

= 15.7 yd

2. Area of the deck = area of sector = ∅/360 × πr²

= 90/360 × π(10²)

= 78.5 yd²

Learn more about area of sector and length of arc on:

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Answer:

2pi

Step-by-step explanation:

Answer:

a) 961   b)37

Step-by-step explanation:

a) (5² + √36)²= (25+6)²= 31²=961

b) 4³ - (5-2)³= 64-3³= 64-27= 37

Answer: 60 degrees

Step-by-step explanation:

a triangle has a interior sum of 180°
90 + 30 = 120

180 - 120 = 60

Answer:

[tex]\frac{3*1}{4*6} = \frac{3}{24} = \frac{1}{8}[/tex]

Step-by-step explanation:

Answer: Well 6 / 2(1+2) = 9

and 814 x 407 = 331,298

Step-by-step explanation:

Answer:

I think 4.3 is your answer.

I think it will help you.

Answer:

have a good day

............✿................

Answer: Isosceles, acute

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

V = 28 m³

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(4 m²)(21 m)

V = 28 m³

The equation which can be represents a parabola in the standard form is given in the option C which is,

[tex]-3x +4y^2 - 2y+ 6 = 0[/tex]

The equation of parabola is the way to represent a parabola in a algebraic expression from using its vertex points.

The general form of the of the parabola can be given as,

[tex]y=a(x-h)^2+k[/tex]

Here, (h, k) are the vertex.

The equation of the parabola in the quadratic equation form can be given as,

[tex]y=ax^2+bx+c[/tex]

Lets check all the option. Equation given in the first option is,

[tex]4x^2 - 2x+ 3y^2 - y +1 = 0[/tex]

This option can not be converted in the above from of parabola.

Equation given in the second option is,

[tex]x^2+ x - 2y^2 - 4y +2 = 0[/tex]

This option can not be converted in the above from of parabola.

Third option is given as,

[tex]-3x +4y^2 - 2y+ 6 = 0\\-3x=-4y^2+2y-6[/tex]

Change the sign of both side of the equation as,

[tex]3x=4y^2-2y+6[/tex]

Divide by number 3 as,

[tex]x=\dfrac{4}{3}y^2-\dfrac{2}{3}y+2[/tex]

This can be compared with the form of parabola equation.

Hence, the equation which can be represents a parabola in the standard form is given in the option C which is,

[tex]-3x +4y^2 - 2y+ 6 = 0[/tex]

Learn more about the equation of parabola here;

https://brainly.com/question/4148030

Answer:

16

Step-by-step explanation:

Pemdas is the order of operations

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Answer:

16

Step-by-step explanation:

3 x 6 - 12 / 6.

18 - 2

  16

Answer:

Is this a joke?

Step-by-step explanation:

Please tell me this is.

Answer:

34.72

Hope that helps!

Answer:

Your answer is: 34.72

Use long addition to evaluate.

Step-by-step explanation:

Hope this helped : )

Answer:

-(-71)=3(8a-6)

remove parenthesis

-(-71)=24a-18

71=24a-18

-24a=18-71

-24a=-89

a=89/24.

Answer:

it's known as a face

BRAINLIEST

Answer:

8x + 6

Step-by-step explanation:

1/2(16x + 2) + 5

(1/2 × 16x + 1/2 × 2) + 5

8x + 1 + 5

8x + 6

That should be the answer.

Answer:

If c=2 than x=5 because 2x5=10 and 10-7=3 and 3x3=9

Step-by-step explanation:

The other factor of the polynomial [tex]\rm x^2+8x+15[/tex]  is  ( x + 3 )

It is given that the polynomial [tex]\rm x^2+8x+15[/tex] has one factor that is [tex]\rm (x+5)[/tex].

It is required to find another factor of the above polynomial.

Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.

We have a polynomial of degree two:

[tex]\rm = x^2+8x+15[/tex]

By using the factorization method we get:

[tex]\rm = x^2+8x+15\\\rm = x^2+3x+5x+15\\\rm = x(x+3)+5(x+3)\\\rm = (x+3)(x+5)\\[/tex]

Thus, the other factor of the polynomial [tex]\rm x^2+8x+15[/tex]  is  ( x + 3 )

Learn more about Polynomial here:

https://brainly.com/question/17822016

Answer: (x + 3) or A!

Step-by-step explanation:

have a nice eday.

correct on edge 2023

number one is c two is a 3 is b

Answer:

I think your answer is ab.

I think it will help you.

Answer:

hope this helps!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

P = 2*w + 2*L

Area = L*w

Givens

Area = P

L = 6

Create equation and Solve

LW = 2w + 2L

6w = 2w + 2*6

6w = 2w + 12                    Subtract 2w from both sides

6w - 2w = 12                     Combine

4w = 12                             Divide by 4

4w/4 = 12/4          

w = 3

Check

Area = 6*3 = 18

Perimeter = 2*3 + 2*6

Perimeter = 6 + 12           Combine

Perimeter = 18

It does check.

Answer:

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

is the function.

Am % sure