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3 years ago

9

B is between A and C, AB = 13.7 and BC = 8.3. Find AC. AC = 17 AC = 22 AC = 20 AC = 19

2 answers:

ella [17]3 years ago

6 0

Answer: The required length of AC is 22 units.

Step-by-step explanation: We are given that the point B is between the points A and C, where

$AB=13.7,~~BC=8.3.$

We are to find the length of AC.

The picture of the given situation is shown in the attached figure below.

Since the point B is in between A and C, so we must have

$AC=AB+BC=13.7+8.3=22.$

Thus, the required length of AC is 22 units.

Rom4ik [11]3 years ago

3 0

13.7 + 8.7 = 22
ac = 22

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Answer:

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Step-by-step explanation:

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Find the standard form of the circle x2 + y2 – 6x + 10y + 24 = 0 by completing the square.

hichkok12 [17]

Answer:

$(x-3)^2+ (y+5)^2=10$

Step-by-step explanation:

Given the equation of the circle: $x^2 + y^2 - 6x + 10y + 24 = 0$

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We begin by re-arranging:

$x^2 - 6x + y^2 + 10y = - 24$

Next, divide the coefficient of x by 2, square it and add it to both sides.

Do the same for y.

$x^2 - 6x +(-3)^2+ y^2 + 10y+5^2 = - 24+(-3)^2+5^2$

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3 years ago

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Remember
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3 years ago

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2 years ago

To travel 80 miles, it takes Sue, riding a moped, 2 hours less time than it takes Doreen to travel 60 miles riding a bicycle. Su

andriy [413]

Answer:

Time taken by Doreen is 6 hours and speed is 10 miles per hour.

Time taken by Sue is 4 hours and speed is 20 miles per hour.

Step-by-step explanation:

Let the speed of Doreen be x

According to the question speed of Sue is = x+10

time taken By Sue to cover 80 miles = $\frac{80}{x+10}$

time taken by Doreen to travel 60 miles = $\frac{60}{x}$

According to question Sue take two hours less than Doreen takes

therefore

$\frac{60}{x}$ - $\frac{80}{x+10}$ =2

$\frac{60(x+10)-80x}{x(x+10)}$ =2

60(x+10) -80x = 2(x(x+10)

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simplifying it ,we get

$2x^2+40x-600=0\\$

Dividing both sides by 2 ,we get

$x^2+20x-300=0\\$

solving it for x ,we get

(x+30)(x-10) =0

x =-30 which is not possible

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Speed of Sue = 10+10 = 20 miles per hour

Time taken by Doreen = 60 divided by 10 = 6 hours

Time taken by Sue = 80 divided by 20 = 4 hours

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3 years ago