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igomit [66]
3 years ago
14

What is the complete factorization of the polynomial below? x^3+ 5x^2- x-5

Mathematics
1 answer:
koban [17]3 years ago
7 0

Answer:

(x-1)(x+1)(x+5)

Step-by-step explanation:

x^3+5x^2 - x-5=

x^3-x+5x^2-5=

x(x^2-1) +5(x^2 - 1)=

(x^2- 1)(x+5)=(*)

(x-1)(x+1)(x+5)

(*) A^2 - B^2 =(A-B)(A +B)

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When graphed, will the line x - 2y = 6 be
kumpel [21]

Answer:

Step-by-step explanation:

Slope of x-2y=6 is ½.

Slope of line through (5,2) and (3,6) = (6-2)/(3-5) = -2

The two slopes are negative reciprocals of each other (i.e., their product is -1), so the two lines are perpendicular.

8 0
3 years ago
What is the value of 4 in the number 745?
Nadya [2.5K]
<span>We need to find the value of 4 in the given number which is 745:
To be able to get the value of 4, we need to get familiar to each digit’s place value.</span> <span>=> Let us give the value of each digit first.
=> 5 = placed in one’s value
=> 4 = placed in tens value
=> 7 = placed in hundreds value

Thus,
=> 745 = 700 + 40 + 5

Therefore the value of 4 in 745 is tens or 40.


</span>



4 0
3 years ago
1. Name the formula for the Law of Sines? Can it be written any other way? What do the letters stand for? When you are solving t
EastWind [94]

Answer:

see explanation

Step-by-step explanation:

The formula for the Sine rule is

\frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC}

Where a, b and c are the sides of a triangle and A, B , C are the angles opposite the corresponding sides, that is

A is opposite side a, B is opposite side b, C is opposite side c

The sine rule is usually applied using a pair of the ratios, where

2 sides and an angle are known to find an unknown angle.

1 side and 2 angles are known to find an unknown side.

----------------------------------------------------------------------------------

2

There are 2 forms of the Cosine rule

(a) a² = b² + c² - (2bc cosA ) ← to calculate an unknown side

(b) cosA = \frac{b^2+c^2-a^2}{2bc} ← to calculate an unknown angle

(a) is used given 2 sides of a triangle b and c are known with A being the included angle ( the angle between the 2 sides )

(b) is used when the 3 sides a, b and c are known

----------------------------------------------------------------------------------

3

If the angle A = 90° then cos90° = 0 and formula (a) becomes

a² = b² + c² ← that is Pythagoras' identity

4 0
3 years ago
Read 2 more answers
Factorize:
frosja888 [35]

Answer:

Step-by-step explanation:

7 0
3 years ago
A line passes through the point (-8,3) and had a slope of -3/4. Write an equation in point-slope form for this line
RoseWind [281]

Answer:y-3=-3/4(x+8)

Step-by-step explanation: you plug the numbers into the formula y-y1=slope(x-x1)

8 0
3 years ago
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