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noname [10]
3 years ago
6

Which statement and reason best complete the proof ?

Mathematics
1 answer:
Liula [17]3 years ago
4 0

Answer:

Option D

Step-by-step explanation:

Segment BD = Segment BD by reflexive property.

And that will also complete the congruence by AAS postulate.

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Find lim x→3 sqrt 2x+3-sqrt 3x/ x^2-3x. you must show your work or explain your work in words plsss I need help
sineoko [7]

I'm assuming the limit is supposed to be

\displaystyle\lim_{x\to3}\frac{\sqrt{2x+3}-\sqrt{3x}}{x^2-3x}

Multiply the numerator by its conjugate, and do the same with the denominator:

\left(\sqrt{2x+3}-\sqrt{3x}\right)\left(\sqrt{2x+3}+\sqrt{3x}\right)=\left(\sqrt{2x+3}\right)^2-\left(\sqrt{3x}\right)^2=-(x-3)

so that in the limit, we have

\displaystyle\lim_{x\to3}\frac{-(x-3)}{(x^2-3x)\left(\sqrt{2x+3}+\sqrt{3x}\right)}

Factorize the first term in the denominator as

x^2-3x=x(x-3)

The x-3 terms cancel, leaving you with

\displaystyle\lim_{x\to3}\frac{-1}{x\left(\sqrt{2x+3}+\sqrt{3x}\right)}

and the limand is continuous at x=3, so we can substitute it to find the limit has a value of -1/18.

7 0
3 years ago
Consider the following system of equations 2x+3y=45 x+y=10 what is the x value of the solution for this system
scZoUnD [109]
2x + 3y = 45
x + y = 10......y = 10 - x

2x + 3(10 - x) = 45
2x + 30 - 3x = 45
-x + 30 = 45
-x = 45 - 30
-x = 15
x = -15 <====

and y = 25
3 0
3 years ago
Read 2 more answers
Write an expression using a variable that shows how much 3 pairs of jeans will cost if u don't know the price of jeans . assume
Fofino [41]
3y (y is the unknown number but it represents one number only... and also 3y represents 3 multiply by y)
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3 years ago
What is the answer to -6-(-2)=
Irina-Kira [14]

Answer:

-4

explanation:

since there is subtraction sign in front of the negative 2 it would change into a positive 2.

-6 + 2 = -4

8 0
2 years ago
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How to solve inequalities
shepuryov [24]

Answer:An absolute value inequality is solved by re-writing it as compound inequality. For example.

|x+1| < 5

Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.

x+1 < 5

x+1 > - 5

solve for the range of values x can be

-6 < x < 4

Step-by-step explanation: How to solve inequalities

4 0
3 years ago
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