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3 years ago

How many tangents can be drawn that contain a point on a circle? Explain your answer.

Mathematics

1 answer:

harina [27]3 years ago

3 0

A tangent line touches the circle at exactly one point but never enters the circle

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Lana has a credit card that uses the adjusted balance method. For the first 10 days of one of her 30-day billing cycles, her bal

ycow [4]

Answer:

$46.03 is the answer for APEX

Step-by-step explanation:

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3 years ago

Write the ratio of the first measurement to the second measurement. Compare in inches. 5 feet to 11 inches

Sergeeva-Olga [200]

Answer:

60in : 11in

Step-by-step explanation:

12 inches in 1 foot.

12in. * 5ft.

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2 years ago

Milla and Luka are 3 kilometers apart and walking toward each other. Milla's average speed is 5 kilometers per hour and Luka's i

Mandarinka [93]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Which of the following shows the extraneous solution to the logarithmic equation? log Subscript 4 Baseline (x) + log Subscript 4

vekshin1

Given:

The given equation is $\log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7 x+21)$

We need to determine the extraneous solution of the equation.

Solving the equation:

To determine the extraneous solution, we shall first solve the given equation.

Applying the log rule $\log _{c}(a)+\log _{c}(b)=\log _{c}(a b)$ , we get;

$\log _{4}(x(x-3))=\log _{4}(-7 x+21)$

Again applying the log rule, if $\log _{b}(f(x))=\log _{b}(g(x))$ then $f(x)=g(x)$

Thus, we have;

$x(x-3)=-7 x+21$

Simplifying the equation, we get;

$x^2-3x=-7 x+21$

$x^2+4x=21$

$x^2+4x-21=0$

Factoring the equation, we get;

$(x-3)(x+7)=0$

Thus, the solutions are $x=3, x=-7$

Extraneous solutions:

The extraneous solutions are the solutions that does not work in the original equation.

Now, to determine the extraneous solution, let us substitute x = 3 and x = -7 in the original equation.

Thus, we get;

$\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-7 \cdot 3+21)$

$\log _{4}(3)+\log _{4}(0)=\log _{4}(0)$

Since, we know that $\log _{a}(0)$ is undefined.

Thus, we get;

Undefined = Undefined

This is false.

Thus, the solution x = 3 does not work in the original equation.

Hence, x = 3 is an extraneous solution.

Similarly, substituting x = -7, in the original equation. Thus, we get;

$\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)$

$\log _{4}(-7)+\log _{4}(-10)=\log _{4}(49+21)$

$\log _{4}(-7)+\log _{4}(-10)=\log _{4}(70)$

Simplifying, we get;

Undefined = $\log _{4}(70)$

Undefined = 3.06

This is false.

Thus, the solution x = -7 does not work in the original solution.

Hence, x = -7 is an extraneous solution.

Therefore, the extraneous solutions are x = 3 and x = -7

7 0

2 years ago

Read 2 more answers

Four friends are standing in line to buy tickets. Carlos is not first in line. Paige is ahead of Kate. Lisa is last in line.

DiKsa [7]

Well Carlos obviously isn't first, and the question states that Lisa is last.
And Paige is in front of Kate, so the line would go:

Paige
Kate
Carlos
Lise

4 0

3 years ago