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Anton [14]
3 years ago
6

Property of Circles: Segment Relationships in Circles​

Mathematics
2 answers:
zhuklara [117]3 years ago
5 0

Answer: x=5

Step-by-step explanation:

-Dominant- [34]3 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

Two secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the external part and the entire secant of the other, that is

(x - 2)(x - 2 + x + 4) = 4(4 + 5)

(x - 2)(2x + 2) = 4(9) = 36 ← distribute and simplify the left side

2x² + 2x - 4x - 4 = 36

2x² - 2x - 4 = 36 ( subtract 36 from both sides )

2x² - 2x - 40 = 0 ( divide through by 2 )

x² - x - 20 = 0 ← in standard form

(x - 5)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 4 = 0 ⇒ x = - 4

But x > 0 ⇒ x = 5

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Some carpet cleaning costs are shown in the table. The relationship is linear. Find and interpret the rate of change
Artemon [7]
Y = m x + b , where m is the slope. The slope is the rise over the run or the change in x ( rooms cleaned ) over the change in y ( cost ).
125 = m * 1 + b
175 = m * 2 + b
-----------------------
b = 125 - m
175 = 2 m + 125 - m
m = 175 - 125
m = 50 ( the rate of change ),  b = 75
The formula is:  y = 50 x + 75
It means that the starting cost will be $75 and that for every room cleaned, the cost will rise for $50. 
4 0
3 years ago
Read 2 more answers
3x = 4у + 12 .<br> What is the y intercept
Stella [2.4K]

Answer:

I think it is y=-3

Step-by-step explanation:

5 0
3 years ago
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a smaller copy of the 3 foot by 5 foot flag. the dimensions of the copy are to be 1/6 of the flag. how many times larger is the
Alinara [238K]
It would be 6 times larger for the area of the flag than the copy
6 0
3 years ago
What are the intercepts of y=4x-2?
pshichka [43]
First, solve for the x - intercept. To do so, equate y to 0 and solve for x. 

                                               0 = 4x - 2, x = 1/2

Second, solve for the y - intercept. Equate x to 0 which will give us,

                                              y = (4)(0) -2, y = -2

Therefore,  the x-intercept is 1/2 and y-intercept is -2. 
8 0
3 years ago
WILL MARK BRAINLIEST
alexandr1967 [171]

Answer:

Equation: 7x - 23 = 25 + x

Solution: x = 8

Step-by-step explanation:

7x - 23 = 25 + x

1. Subtract 25 from both sides:

7x - 23 - 25 = 25 - 25 + x

7x - 48 = x

2. Subtract 7x from both sides to get x on one side:

7x - 7x - 48 = x - 7x

- 48 = -6x

3. Divide both sides by -6 to get x by itself:

8 = x

8 is the solution

4 0
3 years ago
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