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Wewaii [24]
3 years ago
7

Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x

Mathematics
1 answer:
Ulleksa [173]3 years ago
5 0

Answer:

<h2>x= 37</h2>

Step-by-step explanation:

This problem can be solved by applying Pythagoras theorem, since the segment AB is tangent to the circle(meaning that the point A is at 90 degree to the circle)

According to Pythagoras theorem "It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides".

given (as seen from the diagram)

x, hypotenuse= ?

opposite= 12

adjacent= 35

Applying Pythagoras theorem

hyp^2= opp^2+adj^2\\\\hpy=\sqrt{opp^2+adj^2}

Substituting our given data and solving for hpy we have

hyp=\sqrt{12^2+35^2} \\\\hyp=\sqrt{144+1225}\\\\hyp=\sqrt{1369}\\\\hyp= 37

hence x= 37

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Which of the following is a perfect square trinomial ? PLEASE HELP!!!!!!!!!!!!!!!!!
zepelin [54]

Answer:

The answer is C. 16x² - 56xy + 49y²

Step-by-step explanation:

A perfect square trinomial is the result of a squared binomial, the perfect square trinomial would be a² + 2ab + b², as that is what you get when you expand the brackets.

6 0
3 years ago
Graph y=x+1/x² and y=1/x for positive values of x.
AlekseyPX

Answer:

Graphic is showed in the figure below

Step-by-step explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

<em>x        y= x + 1/x²       y = 1/x</em>

1             2                    1

2          2.25               0.2

3          3.11                 0.33

4          4.06               0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

6 0
3 years ago
If your weight is 150 pounds and your mass is 15.3 kilograms, what would those values be if you were on the moon? The gravitatio
natulia [17]
Weight = mass * g  where g = gravitational force

so a weight of 150 pounds would be 150 / 6 = 25  on the moon.
The mass would be the same as on earth.
3 0
3 years ago
20 POINTS WILL GIVE BRAINLIEST HELP QUICKLY!!
SVETLANKA909090 [29]

Answer:

1.function 1 has a greater rate of change than function 2

3. Function 1 has a greater y-intercept than function 2

Step-by-step explanation:

Using the table we can find the slope using

m = (y2-y1)/ (x2-x1)

m = (29-5)/ (8-0)

     = 24/8

    = 3

The rate of change for the table is 3

The y intercept is (0,5)  


Using the graph  (0,-1)  and (2,0)

m = (y2-y1)/ (x2-x1)

m = (0--1)/ (2-0)

     = (0+1)/2

    = 1/2

The y intercept is (0,-1)


Since 3>1/2 , function 1 has a greater rate of change than function 2

Since 5>-1, function 1 has a greater y-intercept than function 2

8 0
3 years ago
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What is 5/12 times 6 in multiply fractions with whole numbers
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5/12*6  =5/12*6/1 crosscancle you get 5/2 the you get 2 1/2
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3 years ago
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