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1 year ago

Which equation results from applying the secant and tangent segment theorem to the figure?

Mathematics

2 answers:

gregori [183]1 year ago

6 0

Solution:

The Secant and tangent theorem states that the point where secant and tangent meets ,then square of length of tangent is equal to product of length of two segments .

In the picture depicted below, DE is the Tangent and DB is the length of Secant.Whereas DA is the length of segment which is equal to point of intersection of tangent and secant and secant and circle.

DE²= DA × DB

→12²=10 × (a+10)

Option (C) is correct description.

Alex787 [66]1 year ago

5 0

1. You must apply the Secant and Tangent segment theorem, which establishes:

Tangent²=(The whole secant segment)(External secant segment)

2. The whole secant segment is: AD=a+12

3. The external secant segment is: BD=10

4. The tangent segment is: DE=12

5. Then, you have:

DE²=ADxBD
12²=(a+10)10
10(a+10)=12²

6. Therefore, the answer is the third option: 10(a+10)=12²

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the points (0,1), (1,5), (2,25), (3,125) are on the graph of a function which equation represent that function

8090 [49]

f(x) = $5^{x}$

note the range is {1, 5, 25, 125 } which can be expressed as

{ $5^{0}$ , $5^{1}$ , $5^{2}$ , $5^{3}$ }

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thus f(x) = $5^{x}$ an exponential function

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1 year ago

A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t

ss7ja [257]

You will need 3.333.... cups of rice to make 10 servings of casserole.

Explanation

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need $x$ cups of rice for making 10 servings of casserole.

Now, the equation according to the ratio of "cups of rice" to the "servings of casserole" will be.....

$\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....$

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5 0

2 years ago

Find the gradient of the line segment between the points (2,3) and (-3,8).

fiasKO [112]

Answer:

$m = -1$

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Where:

$(x_1,y_1) = (2,3)$

$(x_2,y_2) = (-3,8)$

$m = \frac{y_2 - y_1}{x_2 - x_1}$ becomes

$m = \frac{8 - 3}{-3 -2}$

$m = \frac{5}{-5}$

$m = -1$

Hence, the gradient is -1

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1 year ago

Suppose you were exploring the hypothesis that there is a relationship between parents’ and children’s party identification. Wou

alukav5142 [94]

Answer:

It could be purely due to chance.

Step-by-step explanation:

A population is defined as the whole group which has the same characteristics. For example a population of the college belongs to the same college . But a sample may be an element of a population.

So it is not necessary for a population to have the same characteristics as the sample.

But it is essential for the sample to have at least one same characteristics as the population.

So we would not be correct in inferring that such a relationship also exists in the population.

It is a hypothesis which can be true or false due to certain conditions or limitations as the case maybe.

For example in a population of smokers some may be in the habit of taking cocaine. But a sample of cocaine users does not mean the whole population uses it.

It could be purely due to chance if we find out that there is a relationship between parents’ and children’s party identification in the population.

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2 years ago

Work out ( 8x10 -3) x(2x10 -4) standard form

zheka24 [161]

Answer: 1232

Step-by-step explanation: ( 8x10 -3) x(2x10 -4)

( 8x10 -3) = 77

(2x10 -4) = 16

77 x 16 = 1232

Answer = 1232

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2 years ago