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mr Goodwill [35]
3 years ago
13

D and AC are chords that intersect at point Y. A circle is shown. Chords B C and A C intersect at point Y. The length of B Y is

3, the length of Y D is 8, the length of A Y is x, and the length of Y C is 6. What is the length of line segment AY? 2 units 3 units 4 units 6 units

Mathematics
1 answer:
marusya05 [52]3 years ago
7 0

Answer:

4 units

Step-by-step explanation:

see attachment for the missing figure.

to find the value of AY or x

We'll use intersecting chord theorem i.e  the product of line segment of each chord are equal.

From the figure, we can say that:

BY x YD = AY x YC

BY \times YD = AY \times YC\\3\times 8=x\times 6\\24=6x\\x=\frac{24}{6}\\x=4

Therefore,  AY = 4 units

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Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the
I am Lyosha [343]

Answer:

Option b is correct.

Linear function ;

y =2x

Step-by-step explanation:

The formula y=f(x)=mx +c  ......[1]  is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.

Consider any points from the table;

(1, 2) and (2, 4)

substitute these point in [1] we get;

for (1, 2)

⇒x = 1 and f(x) = 2 we have

2 = m + c      

or

c = 2- m                       ......[1]

for (2, 4) we have;

4 = 2m + c                       .....[2]

Now, substitute equation [1] into [2] we get;

4 = 2m + 2 -m

Combine like terms;

4 = m + 2

Subtract 2 from both sides we get;

4 -2 = m +2 -2

Simplify:

2 = m or

m = 2

Substitute the value of m = 2 in [1] to solve for c;

c = 2 -2 = 0

c =0

⇒ y = 2x +0

y = 2x

therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x




8 0
3 years ago
Read 2 more answers
Find the x-intercept and the y-intercept of the graph of the equation 9/8x + 8y = 18. Then graph the equation.
elixir [45]

Answer:

x-intercept (16, 0), y-intercept (0, 9/4)

Step-by-step explanation:

In order to find the x-intercept from your equation, you can substitute y = 0, then solve for x.

\frac{9}{8}x +8y = 18\\

\frac{9}{8}x +8 (0) = 18

Now you need to clear x, later you will need to multiply 18 by 8 and divide by 9.

(\frac{8}{9} )(\frac{9}{8})x = (\frac{8}{9} )18

x = \frac{144}{9}

x = 16

The point is (16, 0)

Now, for finding the y-intercept

Since you have the equation, you need to change it to slope intercept form, remember the general equation is Y = mX + b .

\frac{9}{8} x +8y = 18

first substract \frac{9}{8} x in both sides of the equation:

\frac{9}{8} x-\frac{9}{8} x +8y = -\frac{9}{8} x + 18

8y = -\frac{9}{8} x + 18

Now divide by 8

y = -\frac{9}{8*8} x + \frac{18}{8}

Then simplify

y = -\frac{9}{64} x + \frac{9}{4}

Finally substitute x = 0, and you will find the value of y:

y = -\frac{9}{64} (0) + \frac{9}{4}

y =  \frac{9}{4}

So the point is (0, \frac{9}{4})

For the graph, substitute different values of x and solve for y in the equation y = -\frac{9}{64} x + \frac{9}{4}, you can see the graph in the attached file, also you will see the values in fracction and decimal points in the table.

Download xlsx
6 0
3 years ago
Draw yourself a number line. Order the numbers from least to greatest 1/2, 12, 0666666666
Rainbow [258]

Answer:

it's confusing. you didn't drop the question propeely

5 0
2 years ago
Please explain how to get this answer!!
pshichka [43]

Answer:

No h-intercept/zero

Step-by-step explanation:

1- Substitute the s (h) = 0

2- Determine the defined range

3- the statement is false for any value of h

4- There is no h-intercept/zero

7 0
1 year ago
I need help on this question about rules of exponents
prisoha [69]
12 divides by 4 would be 3

So 3x

Plus the exponents so

The answer is 3x exponent 7
4 0
3 years ago
Read 2 more answers
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