Example 15
Prove that
sin 8 -cos 6 +1 - 1
sin 6+cos - 1 sec - tan
9
using the identity
0
sec?
= 1 + tan?
e.

9514 1404 393

Answer:

  p(x) = x^3 +x^2 -82x +80

Step-by-step explanation:

If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...

  p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form

When this is multiplied out, it becomes ...

  p(x) = x^3 +x^2 -82x +80 . . . . . . standard form

_____

The factored form can be multiplied out using the distributive property.

  = ((x(x +10) -8(x +10))(x -1)

  = (x^2 +10x -8x -80)(x -1)

  = (x^2 +2x -80)x -(x^2 +2x -80)

  = x^3 +2x^2 -80x -x^2 -2x +80

  = x^3 +x^2 -82x +80

Answer:

0.18 m for A P E X

Answer:

yes

Step-by-step explanation:

y = 5x - 30

if this is wrong just lmk and ill fix it

hope this helps <3

Answer:

3:1      &     54:18

Step-by-step explanation:

Answer: 9:3 and 3:1

Step-by-step explanation:

Glad I could help!

Answer:

PQR and VXW

Step-by-step explanation:

Answer:

Answer: it’s C

Step-by-step explanation: ^

Answer:

the domain of f(x) is x > 0

Step-by-step explanation:

mark brainliest

Answer:

21 x 4 is 84

Step-by-step explanation:

6G (sixth-generation wireless) is the successor to 5G cellular technology -- 6G networks will be able to use higher frequencies than 5G networks and provide substantially higher capacity and much lower latency.

Step-by-step explanation:

[tex]f(x)=x^2-2x-3\\f(x)=(x-3)(x+1)\\x=3,-1[/tex]

Answer:

x = 4

Step-by-step explanation:

The parallel segment divides the 2 sides of the triangle proportionally, that is

[tex]\frac{x}{8}[/tex] = [tex]\frac{6}{12}[/tex] ( cross- multiply )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

Hi

the answer would be:

6/18 = x/x+8 => if you solve the equation, it'll be equal to : x = 4

I hope that it's correct.

Step-by-step explanation:

Answer:

The elevation is [tex]32.3^{o}[/tex].

Step-by-step explanation:

The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.

This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.

Then,

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{8}{15}[/tex]

Sin θ = 0.5333

⇒ θ = [tex]Sin^{-1}[/tex] 0.5333

      = 32.287

θ = [tex]32.3^{o}[/tex]

The elevation of the meerkat is [tex]32.3^{o}[/tex].

Answer:

D) 10

Step-by-step explanation:

We are told in the question:

Jack wanted to make note cards by cutting pieces of paper in half. . When he was done he had 24 half-pieces of paper.

Step 1

Divide the number of half pieces by 2 to get the number of whole pieces that was cut

= 24 half pieces/2

= 12 full pieces

Step 2

With how many pieces did he start?

We are told in the question that: Before starting he got two more pieces to use

Hence: The number of pieces he started is calculated as:

12 pieces - 2 pieces

= 10 pieces

Hence, he started with 10 pieces

Answer:

y= 3x - 2 has a slope of three n the graph pic will be below

y= -2x + 3 has a slope of -2 n the graph pic will be below

Step-by-step explanation:

I hope this is what you were looking for and I hope it helps you!

Answer:

The value of x is 20 ⇒ A

Step-by-step explanation:

When a line intersects two parallel lines, then some pairs of angles are formed

In the given figure

∵ Lines l and m are parallel

∵ They are intersected by a line

∴ The angles of measures (3x + 5)° and 65° are alternate interior angles

→ That means they are equal in measures

∵ Alternate interior angles are equal in measures

∴ (3x + 5)° = 65°

→ Subtract 5 from both sides

∵ 3x + 5 - 5 = 65 - 5

∴ 3x = 60

→ Divide both sides by 3

∴ x = 20

∴ The value of x is 20

I can do a and b for you but im unsure about c and d. I'm sorry :((

a. x = 2  

It is the only point that hits the x axis, thus making it a zero of f(x).

b. substitute 2 for x in the original equation and it should equal 0.

f(x)= x^3 - 2x - 4

f(x)= 2^3 - 2(2) -4

f(x)= 8 - 4 - 4

f(x)= 0

Step-by-step explanation:

Since AD bisects BC,

BD = DC.

Therefore 5x - 10 = 3x + 10 and x = 10.

Answer:

The value of x is 10.

Step-by-step explanation:

BD =CD

Which means

5x - 10 = 3x + 10

Let's solve.

[tex]5x - 10 = 3x + 10 \\ \frac{ - 3x \: \: \: \: \: = - 3x \: \: \: \: \: }{2x - 10 = 10} \\ \\ 2x - 10 = 10 \\ \frac{ \: \: \: \: \: \: \: \: \: + 10 = + 10}{2x = 20} \\ \\ \frac{2x}{2} = \frac{20}{2} \\ \\ x = 10[/tex]

Therefore, x = 10.

Answer:

[tex]\frac{2+\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Using the product to sum formula

sinxcosy = [tex]\frac{1}{2}[/tex] [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + [tex]\frac{\sqrt{3} }{2}[/tex]

= [tex]\frac{2+\sqrt{3} }{2}[/tex]

Answer:

The answer is

A.) Animal products like meat and dairy provide complete proteins.

Hope this helps! Have a great day :)

Step-by-step explanation:

Answer:

wELL.. Im no expert BUTTTTTTTTT....that would mean that there is no cherry pies (i think)

Step-by-step explanation:

Answer:

Buddy should have given Trudy c +3 apple pies and c cherry pies

Step-by-step explanation:

Trudy orders 3 more apple pies than c cherry pies

which means that Trudy orders:

c cherry pies

and c+3 apple pies

But Buddy gives him c cherry and c-3 apple

Answer:

Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!

Step-by-step explanation:

Hope I helped! :)

Answer:

1. 25 envelopes

2. 82 words per minute

3. 27 Miles per gallon

Step-by-step explanation:

Answer: 2 minutes

Step-by-step explanation:

1/8 multiplied by 4 twice

-0.015

hope it helps

have a great day

Answer:

They are plenty

Step-by-step explanation:

Answer:

2205

Step-by-step explanation:

Letter 1 is a consent, so there are 21 choices for the letter (all 21 consonants).

Letter 2 is a vowel, so there are 5 choices (all 5 vowels).

Letter 3 is a consent so there are 21 choices (all 21 consonants).

One would have to do 21 * 5 * 21 to find the number of combinations which fit these criterias.

21 * 5 * 21

= 2205

This is disregarding all the other rules of English grammer and word strucutre, so the total amount of combinations that can be found would include nosensical words. The total number of words would also include repeating consonants, so a consonant can appear twice in a combination, and some combinations might repeat.

Answer: c I think

Step-by-step explanation:

Answer:o

Step-by-step explanation:i

Answer:

-4

Step-by-step explanation:

1.  6v-10=2v-22-4

2.  4v-10=-26

3. 4v=-16

4.  v=-4

Answer:

did this help

Step-by-step explanation:

Answer:

The domain is [-6,6] and the range is [0,6]

Step-by-step explanation:

Remember that the domain is your x-values from left to right and your range is your y-values from down to up.  Since the graph doesn't go outward or onward, we have to put in brackets for each parenthesis because it stops at a specific location in which it is needed when graphing parabolas and other slopes.