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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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A local game store earns a profit of $15.50 for every game they sell. The profit from every game they sell is deposited directly
Nikolay [14]

Answer:

B. 23 games.

Step-by-step explanation:

Current balance: $469

Goal balance: $825.50

Profit per game: $15.50

  1. 825.50 - 469 = 356.50

They only need $365.50 in order to reach the goal.

  1. 356.50 ÷ 15.50 = 23

They need to sell 23 games, each selling for $15.50, in order to reach their goal balance, of $825.50.

  • Therefore, the answer is B.
3 0
3 years ago
Which Trig ratio should be used to find the missing side?
stiks02 [169]

Answer:

sin

Step-by-step explanation:

take 34 degree as reference angle

usinf sin rule

sin 34=opposite/hypotenuse

0.55=16/x

x=16/0.55

x=29.09

x=29.1

6 0
3 years ago
What is (3x-2) - (4x+1)
Igoryamba
Since this isn't an equation, you can only simplify, not solve.
Step one: Distribute the negative to the second binomial
3x-2-4x-1
Step two: Add/Subtract like terms
-x-3
That's your answer! :)
3 0
3 years ago
The length of a rectangle is twice the width. The perimeter 66ft. Find the length and the width
Viefleur [7K]
P = 2l + 2w

l = 2x
w = x

66 = 2(2x) + 2(x)
66 = 4x + 2x
66 = 6x
/6     /6
11 = x

L = 2x
L = 2(11)
L = 22

W = x
W = 11

Therefore the length is 22ft and the width is 11ft
3 0
3 years ago
Read 2 more answers
What is this answer (please)
sergejj [24]
A I had this on a test before it was a
6 0
3 years ago
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