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3 years ago

(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b Find the value of a and the value of b

Mathematics

1 answer:

lutik1710 [3]3 years ago

3 0

Answer:

a = 4 and b = - 30

Step-by-step explanation:

Expand the left side and compare like terms on both sides, that is

(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² - x - 6)(x + 5) ← distribute

= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms

= x³ + 4x² - 11x - 30

Compare like terms with x³ +ax² - 11x + b

4x² and ax² ⇒ a = 4

+ b and - 30 ⇒ b = - 30

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Sophie [7]

Answer/Step-by-step explanation:

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BC = (x + 5) cm

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42 = ½((x + 8) + (x + 5))*x

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3 years ago

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nignag [31]

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2 years ago

F the angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of th

Viktor [21]

<u>Given:</u>

The angle of elevation from the point on the ground to the top of the tree is 34° and the point is 25 feet from the base of the tree.

We need to determine the height of the tree.

<u>Height of the tree:</u>

Let the height of the tree be h.

The height of the tree can be determined using the trigonometric ratio.

Thus, we have;

$tan \ \theta=\frac{opp}{adj}$

Substituting the values, we get;

$tan \ 34^{\circ}=\frac{h}{25}$

Multiplying both sides by 25, we have;

$tan \ 34^{\circ} \times 25=h$

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$16.8625=h$

Rounding off to the nearest tenth of a foot, we get;

$16.9=h$

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3 years ago

Help! I have solving systems of equations using substitution, and sometimes I have equations like this:

timurjin [86]

For systems of equations try using graphing, substitution, and elimination. For example
{2x+7y=3}
{x=-4y}
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1) distribute -8y+7y=3
2) combine like terms in this case -8y+7y= -1y
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so currently our solution is (0,-3)
now we solve for x.
we plug our solved variable (y) into 7y
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3) isolate variable -21+21 & 3+21
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3 years ago

Refer to the table below if needed.

elena-14-01-66 [18.8K]

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