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4 years ago

If f(3) = 2 and f'(3) = -4 , find an equation of the tangent line when x = 3.

Mathematics

1 answer:

ryzh [129]4 years ago

6 0

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

f'(3) = - 4 ← is the slope of the line at x = 3

and f(3) = 2 is the point (3, 2 ) thus

y - 2 = - 4(x - 3) ← add 2 to both sides

y = - 4(x - 3) + 2 → B

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How to find the area of the base of a cone

Gre4nikov [31]

Answer:

Step-by-step explanation:

The base of a cone is simply a circle.

The formula for the area of a circle is A = πr^2.

Example: What is the area of the base of a cone, if the radius of the base is 5 cm?

Answer: A = π(5 cm)^2 = 25π cm^2

7 0

3 years ago

Which of the following statements describes the process for solving 4x ≥ -24?

dezoksy [38]

Divide both sides of the inequality by 4 but don’t flip the symbol.

You only flip the inequality symbol if you divide by a negative number.

If you’re solving for x (which you are), you want to get x by itself. The only way to do that is to divide by 4.

4 0

3 years ago

one rectangle has a length 10 cm and width 5 cm the second rectangle has length 12 cm and width 4 cm are the two rectangles simi

tatuchka [14]

Answer:

No, they aren't similar.

Step-by-step explanation:

Let's take the proportionality of their sides to check whether they are similar or not:

$\frac{10}{5} = \frac{12}{4}$

=> 2 ≠ 3

So, they are not similar.

8 0

4 years ago

A cylinder has a radius of 7 inches and a height of 13 in. What is the volume of the cylinder?

madreJ [45]

Answer:

2,637.18 $in^{3}$

Step-by-step explanation:

The formula for finding the volume of a cylinder is....

V = π $r^{2}h$

π = 3.14

Radius = 7

Height = 13

Now that we have what we need, we can substitute the numbers into the equations to get our volume

V = π $r^{2}h$

V = 3.14 * $7^{2}$ * 13

V = 3.14 * 49 * 13

V = 202.86 * 13

V = 2,637.18

The volume of the cylinder is 2,637.18 $in^{3}$

Hope this helped!

have a supercalifragilisitcexpialidocious day!

5 0

3 years ago

Base-ten indicates that any digital in a multi-digit number is _ times the value of the digits to the right

Sloan [31]

10 time the value of the digits to the right.

6 0

3 years ago