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3 years ago

Show all work to factor x^4 − 17x^2 + 16 completely.

Mathematics

1 answer:

FrozenT [24]3 years ago

6 0

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

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Bob constructed an equilateral triangle PQR as shown. He then drew a straight line ST THROUGH POINT P. Determine the sum of the

prohojiy [21]

The answer would be 120 because point p is 60 degrees, since the triangle is an equilateral triangle. Then you would do 180-60, which is 120.

4 0

3 years ago

PLZ HELP ME ASAP PLZ PLZ PLZ!!!!! I NEED LOTS OF HELP!!! I USED 40 POINTS

cupoosta [38]

First, some defintions
reciprocals are like a/b and b/a or 5/1 and 1/5

remember, $\frac{\frac{a}{b}}{\frac{c}{d}}=(\frac{a}{b})(\frac{d}{c})=\frac{ad}{bc}$

john's fraction is reciprocal of sarah's
john=a/b
sarah=b/a

david multiplies his by sarah and gets 12/35
(b/a)(david)=12/35

multplies his number by john and gets 12/35
(a/b)(david)=15/7

hmmm

(b/a)(david)=12/35 and
(a/b)(david)=15/7

if we divide them then we do
$\frac{(\frac{b}{a})(david)}{(\frac{a}{b})(david)}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$\frac{\frac{b}{a}}{\frac{a}{b}}=\frac{\frac{12}{35}}{\frac{15}{7}}=$
$(\frac{b}{a})(\frac{b}{a})=(\frac{12}{35})(\frac{7}{15})=$
$\frac{b^2}{a^2}=\frac{84}{525}=$
$\frac{b^2}{a^2}=\frac{4}{25}$
square root both sides
$\frac{b}{a}=\frac{2}{5}$

therefor
b=2 and a=5

john's number is a/b=5/2
sarah's number is 2/5

david, hmm

sarah times david=12/35
2/5 times david=12/35
times both sides by 5/2
david=60/70
david=6/7

check other

john times david=15/7
5/2 times 6/7=15/7
30/14=15/7
15/7=15/7
true

sarah's favorite number is 2/5
john's favorite number is 5/2
david's favorite number is 6/7

6 0

3 years ago

Mr. Gengel wants to make a shelf with boards that are 1 1/3 feet long. If he has an 18 foot board, how many pieces can he cut fr

In-s [12.5K]

Let us assume that the number of pieces that can be cut = x
Length of each shelf board = 1 1/3 feet
= 4/3 feet
Total length of board available for making shelf = 18 foot
Then
4x/3 = 18
4x = 18 * 3
4x = 54
x = 54/4
= 13 2/4
As we can see from the above deduction, 13 shelf's can be made from the 18 foot board. There will be about 2/4th of the board remaining, but that 2/4th part will be wasted as it cannot create a complete board.I hope the answer is to your satisfaction and the explanation is clear to you.

6 0

3 years ago

Which Expression is equivalent to 8x - 2y + x + x

Ray Of Light [21]

8x -2y + x+x simply combine like terms 8x+ x + x= 10x therefore 10x-2y is equivalent

4 0

3 years ago

Read 2 more answers

A study by a reputable research organization found that when presented with prints from the same individual, a fingerprint expe

Llana [10]

Answer:

a. 0.6899

b. 0.1642

Step-by-step explanation:

a. Given the probability of success is 0.94 for an expert and that the number of pairs, n=6:

-Each attempt is independent and therefore the probability of the events is calculated as:

$P(A \ and \B )=P(A)\times P(B)\\\\P(6)=0.94\times0.94\times0.94\times0.94\times0.94\times0.94\\\\=0.6899$

Hence, the probability of correctly identifying the 6 matches is 0.6899

b.Given the probability of success is 0.74 for a novice and that the number of pairs, n=6:

-Each attempt is independent and therefore the probability of the events is calculated as:

$P(A \ and \B )=P(A)\times P(B)\\\\P(6)=0.74\times0.74\times0.74\times0.74\times0.74\times0.74\\\\=0.1642$

#Hence, the probability of correctly identifying the 6 matches is 0.1642

*I have used the sample size of 6(due to conflicting info/question size).

7 0

3 years ago