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ICE Princess25 [194]
3 years ago
10

Lenox wants to make an equilateral triangle with a perimeter of 3x+ 9. Is this possible? Why or why not?

Mathematics
1 answer:
jasenka [17]3 years ago
3 0
For an equilateral triangle, all sides must have the same length. This means the perimeter must be evenly divisible by 3. If we can divide the expression above by 3 then the answer is yes it's possible:

\frac{3x+9}{3} =\frac{3(x+3)}{3} =x+3

We have just solved for the side length, and can see that the expression is evenly divisible by 3, so an equilateral triangle can be created using this expression for its perimeter by subbing in any whole number for x.
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Radar tracking station O is 40 km away from a ship at Point A. The ship travels east 45 km to point C at 30 km/h. How long will
RUDIKE [14]
First, let's find the time where the ship arrives to point C
t=d/V, t= 45/30=1.5h
if the ship's departure time is at 1.5h, on the point C, let 's find its arrival to the point O, V=D/Dt,  Dt=tfinal-tinitial
Dt=D/V= 20/30=0.6h=t final -t initial, implies t final=0.6+t initial=0.6+1.5=2.1h

so the ship will be on the radar at 2.1h, 
7 0
4 years ago
WILL GIVE A BRAINLESTTTT<br><br> What is the solution of 3x+8/x-4 &gt;= 0
Blababa [14]
Solution: (-Infinite, -8/3] U (4, Infinite)

Using that a fraction is greater than or equal to zero when the numerator and denominator have the same sign:
a/b>=0. Then we have two cases:
Case 1) If the numerator is positive, the denominator must be positive too (at the same time):
if a>=0 ∩ b>0

Or (U)

Case 2) If the numerator is negative, the denominator must be negative too (at the same time):
if a<=0 ∩ b<0

In this case a=3x+8 and b=x-4, then:

Case 1):
if 3x+8>=0 ∩ x-4>0
Solving for x:
3x+8-8>=0-8 ∩ x-4+4>0+4
3x>=-8 ∩ x>4
3x/3>=-8/3 ∩ x>4
x>=-8/3 ∩ x>4
Solution Case 1: x>4 = (4, Infinite)

Case 2):
if 3x+8<=0 ∩ x-4<0
Solving for x:
3x+8-8<=0-8 ∩ x-4+4<0+4
3x<=-8 ∩ x<4
3x/3<=-8/3 ∩ x<4
x<=-8/3 ∩ x<4
Solution Case 2: x<=-8/3 = (-Infinite, -8/3]

Solution= Solution Case 1 U Solution Case 2
Solution = (4, Infinite) U (-Infinite, -8/3]
Solution: (-Infinite, -8/3] U (4, Infinite)
7 0
4 years ago
Read 2 more answers
6th grade math plz hellllp me
hjlf

Answer:

c and f

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
3/4 - 4z + 5/4z- 1/2 + 1/2z
NeX [460]
<span> 3/4-4z+5/4z-1/2+1/2z </span>Final result : 1 - 9z —————— 4

Step by step solution :<span>Step  1  :</span> 1 Simplify — 2 Skip Ad
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<span> 5.1 </span>  Subtracting a whole from a fraction 

Rewrite the whole as a fraction using <span> 4 </span> as the denominator :

<span> 4z 4z • 4 4z = —— = —————— 1 4 </span>
3 0
4 years ago
Explain your answer ! <br><br> ( WILL GIVE BRAINLST)
marusya05 [52]

Answer:

A. $1

Step-by-step explanation:

The apples logically cost 2 dollars each.

2*3=6 Gives us the cost of 3 apples

The dollar left over is how much the juice will cost.

7 0
3 years ago
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