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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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Step-by-step explanation:

Get x by itself on the left side. To do that, subtract the 7. Do to both sides. This makes x = -5

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On circle O below, the measure of FJ is 84º . The measure of GH is 76°.<br> What is the measure of
Vsevolod [243]

Given:

Measure of arc FJ = 84°

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To find:

The measure of angle HKJ.

Solution:

The image of the question is attached below.

Angles inside the circle theorem:

If two chords intersect inside a circle, then the measure of each angle is one half the sum of the measures of the intercepted arc and its vertical arc.

$\Rightarrow m \angle G K H=\frac{1}{2}(m(a r  \ G H)+m(a r \  F J))

$\Rightarrow m \angle G K H=\frac{1}{2}\left(76^{\circ}+84^{\circ}\right)

$\Rightarrow m \angle G K H=\frac{1}{2}\left(160^{\circ}\right)

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8 0
3 years ago
How do you solve for b in this expression
Leona [35]
Remember you can do anything to an equation as long as you do it to both sides


8-(3+b)=b-9

remember the distributive property
a(b+c)=ab+ac

distribute that invisible -1
-(3+b)=-1(3+b)=-1(3)-1(b)=-3-b

8-3-b=b-9
add like terms
5-b=b-9
add b to both sides
5=2b-9
add 9 to both sides
14=2b
divide both sides by 2
7=b
b=7
7 0
3 years ago
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