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Basile [38]
3 years ago
9

C is the midpoint of line segment AB Find the value of x, if line segment AB = 5x and line segment AC = 20.

Mathematics
1 answer:
Softa [21]3 years ago
5 0
D.8

A and C are out because they would get you ether lower or equal to 20, which is equal to AC and your trying to find X in AB which is so posed to be the what equals AC+BC.
AB=AC+BC
5x=20+BC
5(8)=20+BC
40=20+BC
40=20+20

AC equals 20. AB will have to equal AC+ CB. If you put in A.4 in AB 5X you will get twenty and that not what you want. You want to get a number that will get you the an answer greater to AC. So 5(8)=40. 
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Solution to this inequality? <br> 3(5+2n) &gt; 7 +10n<br> Please show work , Thank you
vodka [1.7K]
3(5+2n) \ \textgreater \  7 +10n \\ \\ 15 + 6n \ \textgreater \  7 + 10n \\ \\ 15 \ \textgreater \  7 + 10n - 6n \\ \\ 15 \ \textgreater \  7 + 4n \\ \\ 15 - 7 \ \textgreater \  4n \\ \\ 8 \ \textgreater \  4n \\ \\  \frac{8}{4} \ \textgreater \  n \\ \\ 2 \ \textgreater \  n \\ \\ n \ \textless \  2 \\ \\

The final result is: n < 2.
7 0
3 years ago
Read 2 more answers
A number, increased by four times the number, is 35. Find the number.<br>​
mel-nik [20]
8.75 if 35 is the total if 35 is the start then the answer is 140
7 0
2 years ago
\[f(x)=\sqrt{x ^4-16x ^{2}}\]
marusya05 [52]
f ( x ) =  \sqrt{ x^{4} -16 x^{2} }
a ) The domain:
x^4 - 16 x² ≥ 0
x² ( x² - 16 ) ≥ 0
x² - 16 ≥ 0
x² ≥ 16
x ∈ ( - ∞, - 4 ] ∪ [ 4 , + ∞ )
b ) f ` ( x ) = \frac{1}{2 \sqrt{x ^{4}-16 x^{2}  } } *  ( x^{4}-16 x^{2} )` =
= ( 2 x³ - 16 x ) / √(x^4 - 16 x²)
c ) The slope of the tangent line at x = 5:
f ` ( 5 ) = ( 2 * 125 - 16 * 5 ) / √ ( 625 - 400 ) = 170 / 15 = 34 / 3
The slope of the line normal to the graph at x = 5:
m = - 3 / 34 
4 0
3 years ago
4.5/5.5 simplified ? thanks!
Scrat [10]

Answer:

Step-by-step explanation:

You can multiply the numerator and denominator by 2

(4.5/5.5)(2/2)=9/11

6 0
3 years ago
What is the solution to this system of equations?
BaLLatris [955]
The answer is B
X = 3 and 1/2= Y
3 + 2(1/2) = 4
3 + 1 = 4
Half of 2 = 1, making B the answer
6 0
3 years ago
Read 2 more answers
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