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Ber [7]
3 years ago
10

Find the LCM of the polynomials. x² - x - 42 x2 + x - 56

Mathematics
1 answer:
den301095 [7]3 years ago
7 0

Answer:

x^3+7x^2-50x-336 or (x-7)(x+6)(x+8)

Step-by-step explanation:

Factor each equation.

x^2-x-42= (x-7)(x+6)

x^2+x-56= (x-7)(x+8)

The common factor is (x-7), therefore the other factors of the expressions must multiply to find the common factor.

(x-7)(x+6)(x+8)=x^3+7x^2-50x-336.

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B
VARVARA [1.3K]

Answer:

Hypothenus = 22

Step-by-step explanation:

From the question given above, we were told that the triangles are congruent (i.e same size). Thus,

AC = EF

BC = DE

To obtain the length of each Hypothenus, we shall determine the value of y and x. This can be obtained as follow:

For y:

AC = y + 3

EF = 2y + 1

AC = EF

y + 3 = 2y + 1

Collect like terms

3 – 1 = 2y – y

2 = y

y = 2

For x:

BC = 5x + 7

DE = 6x + 2y

y = 2

DE = 6x + 2(2)

DE = 6x + 4

BC = DE

5x + 7 = 6x + 4

Collect like terms

7 – 4 = 6x – 5x

3 = x

x = 3

Finally, we shall determine the length of each Hypothenus. This can be obtained as follow:

Hypothenus = BC

Hypothenus = 5x + 7

x = 3

Hypothenus = 5x + 7

Hypothenus = 5(3) + 7

Hypothenus = 15 + 7

Hypothenus = 22

OR

Hypothenus = DE

DE = 6x + 2y

y = 2

x = 3

Hypothenus = 6(3) + 2(2)

Hypothenus = 18 + 4

Hypothenus = 22

5 0
3 years ago
Find the sum of: (4.3 x 10¹¹) + (9.2 x 10¹²) *
Minchanka [31]
The answer is 9.63 x 10^12
4 0
3 years ago
Someone help me out pls
Monica [59]
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5 0
2 years ago
given the number, two-fifths,generate its equivalents forms as a fraction, a decimal, and a percent. in addition, give a real wo
tekilochka [14]
Two-fifths or \frac{2}{5} is equivalent to the following. 
\frac{2}{5}
<span>0.4
</span>40%

2 pizzas being shared among 5 friends is a real-world example i<span>n which each form might be used.

I hope this helps!</span>
5 0
3 years ago
Read 2 more answers
Dividing polynomials...
Masja [62]
Long division of polynomials is the same as that of integers.
We find the number that we can multiply (4x + 5y) by to obtain the given polynomial. This is (4x - 5y).
Moreover, this is visible from the fact that
(16x² - 25y²) satisfies the identity:
(a² - b²) = (a + b)(a - b); where a = 4x and b = 5y
5 0
2 years ago
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