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den301095 [7]
3 years ago
10

IF J is between C and T, find the value of x and JT. CJ=8x+5, CT=55, and JT=4x+2

Mathematics
1 answer:
just olya [345]3 years ago
4 0

Answer:

<h2>x = 4</h2><h2>JT = 18</h2>

Step-by-step explanation:

Given three points J, C and T on a line, if J is between C and T then;

CJ + JT = CT.

Given CJ=8x+5, CT=55, and JT=4x+2, substituting this parameters in the equation above will give;

(8x+5)+(4x+2)= 55\\8x+4x+5+2 = 55\\12x+7 = 55\\12x = 55-7\\12x = 48\\ x = \frac{48}{12} \\x = 4

SInce JT = 4x+2

JT = 4(4)+2\\JT = 16+2\\JT = 18

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Identify the graph of 3x^2+y^2=9 for T(-1,3) and write an equation of the translated or rotated graph in general form.
Archy [21]

ANSWER

D. Ellipse;

3{x}^{2}  +{y}^{2}  + 6x   - 6y + 3= 0

EXPLANATION

The given equation is

3 {x}^{2}  +  {y}^{2}  = 9

Dividing through by 9 gives

\frac{ {x}^{2} }{ 3}  +  \frac{ {y}^{2} }{9}  = 1

This is the equation of an ellipse centered at the origin.

If this ellipse has been translated, so that its center is now at (-1,3), then the equation of the translated ellipse becomes

\frac{ {(x + 1)  }^{2} }{ 3}  +  \frac{ {(y - 3)}^{2} }{9}  = 1

We multiply through by 9 to get,

3 {(x + 1)}^{2}  +  {(y - 3)}^{2}  = 9

Expand to obtain;

3( {x}^{2}  + 2x + 1) +  {y}^{2}  - 6y + 9 = 9

Expand to obtain;

3{x}^{2}  + 6x + 3+  {y}^{2}  - 6y + 9 = 9

Regroup and equate to zero to obtain;

3{x}^{2}  +{y}^{2}  + 6x   - 6y + 3= 0

8 0
3 years ago
Read 2 more answers
rationalize the dominator and simplify the following expressions into the simplest possibke surds: i. 8/√2 + 2√50​
Akimi4 [234]

Answer:

8/√2 + 2√50​

8√2/2 + 2√50

4√2 + 10√2

<u>14√2</u>

<u></u>

4 0
3 years ago
It is 42 1/2 miles from Eaton to Baxter, and 37 4/5 miles from Baxter to Wellington. How far is it from Eaton to Wellington, if
IgorC [24]

42 \frac{1}{2}  + 37 \frac{4}{5}

42 \frac{5}{10}  + 37 \frac{8}{10}

\frac{5}{10}  +  \frac{8}{10}  =  \frac{13}{10}  =  1 \frac{3}{10}

79 + 1 \frac{3}{10}  = 80 \frac{3}{10}

80 \frac{3}{10} \:  \:miles \: or \: 80.3 \: miles

//

Just double check that I did the right calculations

8 0
3 years ago
A gym charges a one-time fee of $75 to join,plus membership dues of $25 per month. Which equation represents the total cost,c, o
Ad libitum [116K]

Answer:

the answer is B

Step-by-step explanation:

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5 0
3 years ago
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Fill in the blank.
natima [27]

The correct answer is: Commutative Property

Further Explanation:

The commutative property states that the order of number doesn't matter and changing the order of numbers or variables will produce the same result.

<u>Commutative Property of Addition:</u>

The Commutative Property of addition means that an expression can be written as a + b = b + a.

<u>Commutative Property of Multiplication:</u>

The Commutative Property of multiplication means that an expression can be written as a • b = b • a

Hence, the correct answer is: Commutative Property

Keywords: Commutative property, addition, multiplication

Learn more about Properties at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

4 0
3 years ago
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