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4 years ago

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given triangle ABC with sides AB=3x+4, BC=2x+5, AC=4x, determine the values of X such that triangle ABC exists.

1 answer:

ch4aika [34]4 years ago

5 0

You can a teacher lol

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Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

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7 0

2 years ago

Diana designs a paper number cube (dice) to play a game called "make 48". If each pair of opposite faces has a product of 48. Wh

enyata [817]

The missing numbers are 24

6 0

3 years ago

Read 2 more answers

I hate math bro please help me ill mark u brainliest

yulyashka [42]

Please mark me brainless :)

5 0

3 years ago

They want me to put something here and the question is the picture

arsen [322]

Answer:

D. (1, -2)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS
Equality Properties

<u>Algebra I</u>

Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define systems</u>

5x - 2y = 9

3x + 4y = -5

<u>Step 2: Rewrite systems</u>

10x - 4y = 18

3x + 4y = -5

<u>Step 3: Solve for </u><em><u>x</u></em>

Add to equations together: 13x = 13
Divide 13 on both sides: x = 1

<u>Step 4: Solve for </u><em><u>y</u></em>

Define: 3x + 4y = -5
Substitute in <em>x</em>: 3(1) + 4y = -5
Multiply: 3 + 4y = -5
Isolate <em>y </em>term: 4y = -8
Isolate <em>y</em>: y = -2

And we have our final answer!

8 0

3 years ago

2. Which of the following is not true about the

irga5000 [103]

The only one I can say for sure is correct without the picture is A because absolute value is always positive. Hope this helps!

6 0

3 years ago