Caroline babysat for two families the nelsons and smiths

Tangent Line h(t) = sec t / t @ (Pi, 1/pi)

Alex Ar [27]

Take derivitive

note
the derivitive of sec(x)=sec(x)tan(x)
so
remember the quotient rule
the derivitive of $\frac{f(x)}{g(x)} = \frac{f'(x)g(x)-g'(x)f(x)}{(g(x))^2}$
so

the derivitive of $\frac{sec(t)}{t} = \frac{sec(t)tan(t)t-(1)(sec(t))}{t^2}$
so now evaluate when t=pi
we get
sec(pi)=-1
tan(pi)=0
we get
$\frac{(-1)(0)(pi)-(pi)(-1)}{pi^2}= \frac{pi}{pi^2}= \frac{1}{pi}$
slope=1/pi

use slope point form
for
slope=m and point is (x1,y1)
equation is
y-y1=m(x-x1)
slope is 1/pi
point is (pi,1/pi)

y-1/π=1/π(x-π)
times both sides by π
πy-1=x-π
πy=x-π+1
y=(1/π)x-1+(1/π)
or, alternately
-(1/π)x+y=(1/π)-1
x-πy=π-1

7 0

2 years ago

The function f(x) is given by the set of ordered pairs.

Lana71 [14]

The equation that is true and one that matches the set of ordered pairs of functions is option C. f (0) = 6

<h3>What is the equation about?</h3>

Note that a function can be made to be a given set of ordered pairs such as the ordered pairs (2,4), (3,5), (4,6) can have input functions of (as domain) 2,3,4 and output functions of (as range) of 4,5,6.

So when you see the ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)} one can see that the option that matches to the set of ordered pairs of functions above is f (0) = 6 value x = 0, f (x) = y = 6, ordered pairs (0.6)

See full question below

The function f (x) is given by the set of ordered pairs. {(1,0), (–10,2), (0,6), (3,17), (–2, –1)}:Which equation is true?

f(-10)=1

f(2)=-10

f(0)=6

f(1)=-10

The answer choices are :

f (-10) = 1 values x = -10, f (x) = y = 1, ordered pairs (-10,1)

f (2) = - 10 values x = 2, f (x) = y = -10, ordered pairs (2, -10)

f (0) = 6 value x = 0, f (x) = y = 6, ordered pairs (0.6)

f (1) = - 10 values x = 1, f (x) = y = -10, ordered pairs (1, -10)

Learn more about ordered pairs from

brainly.com/question/6200217

3SPJ1

8 0

1 year ago

1 A. All master photographers are artists.

Ede4ka [16]

Answer:

A is the appropriate option.

Step-by-step explanation:

The question given is a conditional statement.

With the condition that all master photographers are artist. This implies that any person who is a master photographer is automatically an artist.

A. Comparing the statement here, since Ansel Adam's is a master photographer, he is an artist.

B. Ansel Adams is an artist, but it is possible that not all artists are master photographer.

A is the correct option.

1. All master photographers are artists.

2. Ansel Adams is a master photographer.

Therefore, Ansel Adams is an artist.

7 0

2 years ago

Chords and arcs. Can someone please help me with this and explain???20 points

anyanavicka [17]

Answer:

89

Step-by-step explanation:

So the line segment CD is 12.7 and half that is 6.35. I wanted this 6.35 so I can look at the right triangle there and find the angle there near the center. This will only be half the answer. So I will need to double that to find the measure of arc CD.

Anyways looking at angle near center in the right triangle we have the opposite measurement, 6.35, given and the hypotenuse measurement, 9.06, given. So we will use sine.

sin(u)=6.35/9.06

u=arcsin(6.35/9.06)

u=44.5 degrees

u represented the angle inside that right triangle near the center.

So to get angle COD we have to double that which is 89 degrees.

So the arc measure of CD is 89.

5 0

2 years ago

Does anyone know the answer to number 37?

kotegsom [21]

Answer: 37) 170

Step-by-step explanation:

85 - (-85) = 85 + 85 = 170

$\textit{\textbf{Spymore}}$

7 0

2 years ago