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3 years ago

Determine if line AB is tangent to the circle.

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

7) No

8) Yes

Step-by-step explanation:

Tangent lines are perpendicular to the radius lines at the point of intersection. So we just need to check if these are right triangles.

7) c² = a² + b²

20² = 12² + 14²

400 = 340

8) c² = a² + b²

13² = 7.8² + 10.4²

169 = 169

Yes

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

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sertanlavr [38]

A and E.

x= (1+ root-71)/6 and x= (1-root-71)/6

3 0

3 years ago

The weight of a small bag of raisins of 3.0 times the weight of a large bag. The large bag weight 8.0 of a pound. what is the we

Viefleur [7K]

Answer:

4/15

Step-by-step explanation:

7 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Identify the domain for each of the given

avanturin [10]

Step-by-step explanation:

First, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

Then, with the variables defined, we have:

68594 vinyl records were sold in 1958 ---------> f (8) = 68594

91299 vinyl records were sold in 1961 ---------> f (11) = 91299

38720 vinyl records were sold in 1952 ---------> f (2) = 38720

161743 vinyl records were sold in 1967 ---------> f (17) = 161743

4 0

3 years ago

Read 2 more answers

Name the line and plane shown in the figure.

ira [324]

Answer: I think your answer is B, but I'm not positive

Step-by-step explanation:

7 0

3 years ago