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Bond [772]
3 years ago
12

Help please :( !! i don’t understand:/

Mathematics
1 answer:
serg [7]3 years ago
7 0

Answer:

68.62 is the correct answer for above right angle triangle.

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I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!
marissa [1.9K]

Answer:

2. Eunju is right

3. x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24.

Step-by-step explanation:

<u>Polynomial Remainder Theorem</u>

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

As a consequence, if a polynomial is divisible by x-a, f(a)=0.

Part 1:

Let's make:

f(x)=(x+b)^3+(x+c)^2-(b-c)

To find out if x+b is a factor of f(x), we find f(-b):

f(-b)=(-b+b)^3+(-b+c)^2-(b-c)

Operating:

f(-b)=(-b+c)^2-(b-c)

The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).

Part 2:

We must find out if x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24 without using long division or synthetic division.

We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:

x^2+5x+6 =(x+2)(x+3)

Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.

Let's make:

f(x)=x^4+5x^3+2x^2-20x-24

Find f(-2):

f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24

f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0

Find f(-3):

f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24

f(-3)=81-5*27+2*9+60-24

f(-3)=81-135+18+60-24 =0

Since both f(-2) and f(-3) are zero, x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24.

5 0
3 years ago
39.76 divided by 2.8
denpristay [2]

Answer:

14.2

Step-by-step explanation:

6 0
3 years ago
What is the answer for this equation-18-6k=(1+3k)
mylen [45]
-18-6k= 1+3k
9k=-19
k=-19/9
k=-2 and 1/9
8 0
3 years ago
Read 2 more answers
Please help me solve this. 10 points!
olga nikolaevna [1]

Answer:

the answer is:

j= 76

k= 65

6 0
3 years ago
(Giving Brainlyst)<br> Awnser this with the letter and fraction listed<br> EX. H- 2/3<br> Thanks!
Flura [38]

Answer:

C-7/8

R-8/9

P-61/66

L-11/18

I-3/4

A-7/12

O-47/55

H-29/40

S-28/33

T-4/5

M-11/12

E-71/84

U-13/42

N-19/20

I swear to god if I don’t get brainliest I’m going to lose it I haven’t done this math in like four years and it kinda took a while.... but I hope it helped u ☺️☺️☺️❤️❤️❤️❤️

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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