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snow_lady [41]
4 years ago
9

3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle ?

Mathematics
1 answer:
Sladkaya [172]4 years ago
7 0

Answer:

15

Step-by-step explanation:

1 is neither prime nor composite

2 is the smallest prime

3 is the next smallest prime

5 is the next smallest

but 2,3,5 do not make a triangle

The third side must be smaller than the sum of the other two

2+3 <5 not equal to

7 is the next prime

3,5,7 are the three sides of the triangle

P = 3+5+7

P = 15

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Consider the steps to simplify the expression. Which property is used to reach Step 3?
Stels [109]

NOTE: I ACCIDENTALLY clicked one star. That DOES NOT count as a real rating, and this DOES NOT mean my answer is bad!

Answer:

Commutative Property of Addition

Step-by-step explanation:

Step 2: -4 + (-37) + (-3) + (-47) + 7

Step 3: -4 + (-37) + (-47) + (-3) + 7

Because the order was changed, it is the Commutative Property.

4 0
3 years ago
What are the solutions of 3x2 + 6x + 6 = 0?
AlladinOne [14]
The solutions or roots to this equation is found by solving for x. We can do this a couple ways either by FOIL or quad formula

3x^2+6x+6=0
3(x^2+2x+2)=0

x^2+2x+2=0 we cant FOIL this out so we use the quad formula

x= [(-b+\-sqrt(b^2-4ac))/2a]

x= -2+\- sqrt(4-4(1)(2))/2(1)
x= -1 +i , -1 - i

So we have complex roots since our quad formula returned a negative number. Whenever the quad formula answer is positive we have two roots/solutions, when it is zero we have one root/solution, and whenever it is negative we have Complex roots/solutions

Hope this helps. Any questions please just ask. Thank you.
7 0
3 years ago
Write an equation in slope-intercept form for the line that is parallel to y = 4x - 5 and contains the point (6, "-10).
Jobisdone [24]

Answer:

The desired equation is y = 4x - 34

Step-by-step explanation:

Start with the general slope-intercept form y = mx + b.

The new line is parallel to y = 4x - 5, and so the slope of the new line is the same as that of the old one:  4.  Then we have:

y = 4x + b

Find b.  Do this by substituting 6 for x and -10 for y:

-10 = 4(6) + b.  Then -10 - 24 = b, and b = -34.

The desired equation is y = 4x - 34

7 0
2 years ago
Change the following statements into repor
dimulka [17.4K]

Answer:

I love Spanish food said Jim

I'm going to Singapore next month said Emily

6 0
3 years ago
Read 2 more answers
This my last question I need help plz
pav-90 [236]

Answer:

y-5=1/3(x-6)

Step-by-step explanation:

SO find the slope first

ANd then just fill out the point slope formula

6 0
3 years ago
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