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jenyasd209 [6]
2 years ago
6

J is the midpoint of CT С J T If: CJ = 5x – 3 and JT = 2x + 21 Find CT.

Mathematics
1 answer:
Alexandra [31]2 years ago
6 0

Answer:

CT=37

Step-by-step explanation:

5x-3 = 2x+21

-2x

3x-3 = 21

+3

3x = 24

÷3

× = 8

5(8) - 3 = 37

2(8) +21 =37

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What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0
Tom [10]

Answer:

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

Step-by-step explanation:

The given equation is

(2x+3)^2+8(2x+3)+11=0

Let us treat this as a quadratic equation in (2x+3).

where a=1,b=8,c=11

The solution is given by the quadratic formula;

(2x+3)=\frac{-b\pm \sqrt{b^2-4ac} }{2a}

We substitute these values into the formula to obtain;

(2x+3)=\frac{-8\pm \sqrt{8^2-4(1)(11)} }{2(1)}

(2x+3)=\frac{-8\pm \sqrt{64-44} }{2}

(2x+3)=\frac{-8\pm \sqrt{20} }{2}

(2x+3)=\frac{-8\pm2\sqrt{5} }{2}

(2x+3)=-4\pm \sqrt{5}

(2x+3)=-4-\sqrt{5} or (2x+3)=-4+ \sqrt{5}

2x=-3-4-\sqrt{5} or 2x=-3-4+ \sqrt{5}

2x=-7-\sqrt{5} or 2x=-7+ \sqrt{5}

x=\frac{-7-\sqrt{5}}{2} or x=\frac{-7+ \sqrt{5}}{2}

5 0
3 years ago
Y 20 18 16 14 12 Total Cost ($) 10 000 2 3 1 2 Time (hours) 2. 3 4 6 8 y = IX +​
Monica [59]
To find the m(slope) of our graph we can take two points from the graph, im going to use (0,2) and (1,8) the formula for slope is y2-y1/x2-x1
Plug the points in to get 8-2/1-0
The slope of this equation is 6.

For the y-intercept we just find where the line meets the y-axis and that is at 2.

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8 0
3 years ago
I need help on 11, 12 and 13 please ... :(
Lynna [10]
Question 11= B
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6 0
3 years ago
Question 17
SOVA2 [1]

Answer:

1.8 × 10^10

Step-by-step explanation:

(7.2 × 10 = 72)

(72) ÷ (4 × 10^-9) = 1.8 × 10^10

3 0
2 years ago
Maria walks a round trip of 0.75 mile to school every day.how many miles will she walk in 4.5 days
zavuch27 [327]

Answer:

3.375 miles

Step-by-step explanation:

Each day Maria walks 0.75 miles, so if she walks for 4.5 days, then 0.75*4.5= 3.375 miles.


7 0
3 years ago
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