1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Norma-Jean [14]
3 years ago
5

I need some help with math

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer:

PT, VP

Step-by-step explanation:

if p is the center and T V and W are on the circle

the radius goes from the center of the circle to the edge of the circle

then PW PT and PW are radii of the circle


You might be interested in
If(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
deff fn [24]

Answer/Step-by-step explanation:

Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.

f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not

the same as g ◦ f. (This means that composition is not commutative).

f ◦ g ◦ h is the composition that composes f with g with h.

Since when we combine functions in composition to make a new function, sometimes we

define a function to be the composition of two smaller function. For instance,

h = f ◦ g (1)

h is the function that is made from f composed with g.

For regular functions such as, say:

f(x) = 3x

2 + 2x + 1 (2)

What do we end up doing with this function? All we do is plug in various values of x into

the function because that’s what the function accepts as inputs. So we would have different

outputs for each input:

f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)

f(0) = 3(0)2 + 2(0) + 1 = 1 (4)

f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)

When composing functions we do the same thing but instead of plugging in numbers we are

plugging in whole functions. For example let’s look at the following problems below:

Examples

• Find (f ◦ g)(x) for f and g below.

f(x) = 3x + 4 (6)

g(x) = x

2 +

1

x

(7)

When composing functions we always read from right to left. So, first, we will plug x

into g (which is already done) and then g into f. What this means, is that wherever we

see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).

g(x) = x

2 +

1

x

(8)

f(x) = 3x + 4 (9)

f( ) = 3( ) + 4 (10)

f(g(x)) = 3(g(x)) + 4 (11)

f(x

2 +

1

x

) = 3(x

2 +

1

x

) + 4 (12)

f(x

2 +

1

x

) = 3x

2 +

3

x

+ 4 (13)

Thus, (f ◦ g)(x) = f(g(x)) = 3x

2 +

3

x + 4.

Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but

with one extra step.

• Find (f ◦ g ◦ h)(x) given f, g, and h below.

f(x) = 2x (14)

g(x) = x

2 + 2x (15)

h(x) = 2x (16)

(17)

We wish to find f(g(h(x))). We will first find g(h(x)).

h(x) = 2x (18)

g( ) = ( )2 + 2( ) (19)

g(h(x)) = (h(x))2 + 2(h(x)) (20)

g(2x) = (2x)

2 + 2(2x) (21)

g(2x) = 4x

2 + 4x (22)

Thus g(h(x)) = 4x

2 + 4x. We now wish to find f(g(h(x))).

g(h(x)) = 4x

2 + 4x (23)

f( ) = 2( ) (24)

f(g(h(x))) = 2(g(h(x))) (25)

f(4x

2 + 4x) = 2(4x

2 + 4x) (26)

f(4x

2 + 4x) = 8x

2 + 8x (27)

(28)

Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x

2 + 8x.

4 0
2 years ago
If C={-10,-9,-8,-7,-6,-5} and D={-6,-5,-4,-3,-3,-1} what is CnD
nalin [4]

Answer:

-123 and 203 130 31804

Step-by-step explanation:

Apex idk

5 0
3 years ago
A window shaped like a parallelogram has an area of 30 square feet. The height of the window is 4
Viefleur [7K]

Answer:

The base of the window is 7.5 feet long.

Step-by-step explanation:

The area of a parallelogram can be found with the formula A = bh

Plug in the known values to get 30 = 4b

30 = 4b

30/4 = b

7.5 = b

8 0
3 years ago
What percent of 40 is 5​
horsena [70]

Answer:

12.5%

Step-by-step explanation:

Five divided by 40 is 12.5

6 0
3 years ago
The product of two consecutive numbers is 182
kupik [55]
2 consecutive numbers....x and x + 1

x(x + 1) = 182
x^2 + x = 182
x^2 + x - 182 = 0
(x - 13)(x + 14) = 0

x - 13 = 0
x = 13

x + 14 = 0
x = -14....not this one because it is negative

x + 1 = 13 + 1 = 14

ur 2 numbers are : 13 and 14
8 0
3 years ago
Other questions:
  • Given 2x - y = 6, solve for y
    7·2 answers
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • -5[4-(-3)(2)] how to solve this
    6·2 answers
  • What is 5/7 equivalent to
    14·2 answers
  • What are the roots of x2-3x+4
    11·1 answer
  • WILL GIVE BRAINLIEST!!!What is the simplified form of 15 times x to the sixth power over 20 times y to the fifth power times the
    10·2 answers
  • Please help with my Area of sectors and Segments Question!!! Show your work please!!!!
    6·1 answer
  • A clock face a circumference of 166 cm. what is the diameter
    14·2 answers
  • In Store A, you can buy 3 notebooks
    6·1 answer
  • Make m the subject in the relation <br><img src="https://tex.z-dn.net/?f=2m%20-%20%20x%20%20%2B%203y%20%5Ch%20%3D%202y%20%5Cp" i
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!