<em><u>Question:</u></em>
For which value(s) of x will the rational expression below be undefined? Check all that apply.
(x-3)(x+6)/x+7
<em><u>Answer:</u></em>
For x = -7 the rational expression is undefined
<em><u>Solution:</u></em>
<em><u>Given rational expression is:</u></em>
We have to find the value of x for which the rational expression becomes undefined
A rational expression is undefined when the denominator is equal to zero
Here, the denominator becomes zero when x = -7
Substitute x = -7 in given
Thus for x = -7 the rational expression is undefined
Answer:
x^2 + y^2 + 2xy
Step-by-step explanation:
Use the FOIL method.
Multiply the first terms: x•x=x^2
Multiply the outer terms: x•y=xy
Multiply the inner terms: y•x=xy
(alphabetical order)
Multiply the last terms: y•y=y^2
Combine like terms:
x^2 + y^2 + xy + xy
x^2 + y^2 + 2xy
<h3>
Answers:</h3>
angle FHG = 42 degrees
angle GHI = 100 degrees
=========================================================
Explanation:
FHI is the largest angle. It is split into two pieces FHG and GHI which have measures of (3x+6) and (9x-8) degrees respectively.
Put another way, those two smaller angles (FHG and GHI) combine to form the larger angle (FHI)
This is the angle addition postulate.
------------------
(angle FHG) + (angle GHI) = angle FHI
(3x+6) + (9x-8) = 142
3x+6+9x-8 = 142
(3x+9x) + (6-8) = 142
12x - 2 = 142
12x-2+2 = 142+2 ... adding 2 to both sides
12x = 144
12x/12 = 144/12 .... dividing both sides by 12
x = 12
------------------
Use that x value to find the angles we're after
angle FHG = 3x+6 = 3*12+6 = 36+6 = 42
angle GHI = 9x-8 = 9*12-8 = 108-8 = 100
Note how
(angle FHG) + (angle GHI) = 42 + 100 = 142
which is the measure of angle FHI. This confirms the answers.
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