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nikitadnepr [17]
3 years ago
10

If (a,a + square root 3) lies on the graph of y=2x, then a = ?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
7 0
If the point
(a \:  \: a \sqrt{3} )
lies on
y = 2x
then it must satisfy it.

That is

a +  \sqrt{3}  = 2(a)
\rightarrow  \: a  +  \sqrt{3}  = 2a


Grouping like terms we have,

\sqrt{3}  = 2a - a
\therefore \: a =  \sqrt{3}

Ad libitum [116K]3 years ago
5 0

Start with y = 2x.  Subst. a for x and a+sqrt(3) for y:

a+sqrt(3) = 2a

Subtracting a from both sides:  sqrt(3) = a

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What is the image point of ( -5,0 ) after a translated left 2 units and down 3 units ?​
kvv77 [185]
Answer: ( -7 , -3 )


Step by step:
The point: ( X , Y )
Left 2 units = change X by -2
So, -5 subtract by 2 equals -7
Down 3 units = change Y by -3
So, 0 subtract by 3 equals -3
Now, X = -7 and Y = -3, so the answer is ( -7 , -3 )


Hope this helps! Please tell me if I did anything wrong, thank you!
5 0
4 years ago
Does (-24,-12) and (-15,-9) line pass through point (18,2)?
Dmitrij [34]

Find the slope using the formula [ y2-y1/x2-x1 ].

-9-(-12)/-15-(-24)

3/9

1/3

Find the y-intercept using the formula [ y = mx + b ].

y = 1/3x + b

-12 = 1/3(-24) + b

-12 = -8 + b

-4 = b

Use (18, 2) to see if the line passes through it

y = 1/3x - 4

2 = 1/3(18) - 4

2 = 6 - 4

2 = 2 TRUE

Thus, the line does pass through (18, 2).

Best of Luck!

4 0
3 years ago
Read 2 more answers
HELP PLEASE AFTER THIS ILL BE DONE AND I CAN TURN IN M WORK
arsen [322]

Answer:

A, C, E for the first one; B, C, E for the second one; B and E for the last one

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 2/5 +(-3/15)
Morgarella [4.7K]

Answer:

-281.25


Step-by-step explanation:


6 0
3 years ago
Identifying a constant of variation question<br><br> R= ?
jek_recluse [69]
Pressure and Volume are inversely related as:

P= \frac{R}{V}

We can also write it as:

PV=R

R is the constant of proportionality. Using the first row of given table, we can write:

2(4.155)=R \\  \\ &#10;R=8.31

Thus, the value of R, the universal gas constant is 8.31
4 0
3 years ago
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