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padilas [110]
3 years ago
13

What are the restrictions for (x^2+10x+25)/(x^2-3x-28) 0,14 -4,7 0,7 4,7

Mathematics
1 answer:
nirvana33 [79]3 years ago
5 0
The answer is -4,7

The denominator can't equal zero. Factor the denominator:
x^2 - 3x - 28=
(X - 7)(x + 4); next set each set of parentheses equal to 0;
x - 7 = 0; so x=7 is one value
x + 4 = 0; so x=-4 is the other
Remember, x = 7 and x= -4 make the denominator zero, which is a "restriction" because you can't divide by zero.
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Find the area of the shaded regions.<br>​
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125.66

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Area of shaded sector=

A=(angle/360) * pi * radius squared

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62.83 * 2 = 125.66 because there are 2 shaded areas

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Olivia and Bob each have an apple. Olivia cuts hers into halves and eats one piece. Bob cuts his into quarters and eats two piec
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 They ate the same amount of apple because 2 divided by 4 is .5, and so is 1 divided by 2. Have a nice night!
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The Lee's have three children. The oldest is twice as old as the youngest. The middle child is five years older than the younges
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Youngest: 13 years old

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The governor's approval rating dropped by 40% to 18%. What was his approval rating before?
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Problem is attached, need to use sin and cosine formulas
Tatiana [17]

In triangle 1, the values are α = 65°, a = 42.02, and 45.66. And in triangle 2, the values are β = 55.74, γ = 84.26, and c = 10.84.

<h3>What is the law of sines?</h3>

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

\dfrac{\sin \alpha }{a} = \dfrac{\sin \beta }{b} = \dfrac{\sin \gamma}{c}

1.  β = 15°, γ = 100°, and b = 12, then the missing side and angle will be

The sum is 180° of a triangle. Then the value of α will be 65°.

\dfrac{\sin 65^o}{a} = \dfrac{\sin 15^o}{12} = \dfrac{\sin 100^o}{c}

Then the value of a will be

a = 42.02

Then the value of c will be

c = 45.66

2.  α = 40°, a = 7, and b = 9, then the missing side and angle will be

(sin 40°)/7 = (sin β) / 9

       sin β = 0.82644

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The sum is 180° of a triangle. Then the value of γ will be 84.26°.

Then the value of c will be

c = 10.84

Learn more about the law of sines here:

brainly.com/question/17289163

#SPJ1

7 0
2 years ago
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