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svlad2 [7]
2 years ago
14

Is it possible to construct a triangle with side lengths of 35,120, and 125 units?

Mathematics
1 answer:
blsea [12.9K]2 years ago
4 0

If the sum of the two smallest sides of a triangle are less than the third side, then the triangle cannot be constructed, since the sides would not be able to touch. However, since 35+120 is greater 125, this triangle can be formed

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The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, the nu
tester [92]
(3,24)(7,56)
slope = (56 - 24) / (7 - 3) = 32/4 = 8

y = mx + b
slope(m) = 8
(3,24)...x = 3 and y = 24
now we sub
24 = 8(3) + b
24 = 24 + b
24 - 24 = b
0 = b

so ur equation is : y = 8x + 0...or just y = 8x

to find ur answer, take ur answer choices and sub them into y = 8x and whichever one is true is ur answer.
6 0
3 years ago
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Why does -2.4-(-7)have the same result as -2.4+7? Explain your reasoning.
asambeis [7]

Answer:

-2.4-(-7) has the same result as -2+7 because the negative sign and the minus sign cancel each other out. Think of it like this. If you cross the negative sign and the minus sign together, then it makes a plus sign.

Step-by-step explanation:

I gave a basic answer. You might have to elaborate more on this.

8 0
3 years ago
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Find the sum of the series given in sigma notation.
Kryger [21]

Answer:

Option b is correct 175

Step-by-step explanation:

n = 7

k = 6

3k -2 ------1

put k = 6 in above eq. for finding first term

  a1 = 3(6) - 2  = 18 - 2 = 16

put k = 7 in above eq. for finding first term

 a2 = 3(7) - 2 = 21 - 2 = 19

 a3 = 3 (8) - 2 = 24 - 2 = 22

16, 19 , 22, ...  //Arithmetic series formation

a1 = 16 , a2 = 19

d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms

Using sum forumula for arithmetic series

sum = \frac{n}{2}(2a1 + (n-1)d)

      = \frac{7}{2}(2a1 + (7-1)d)

      = \frac{7}{2}(2(16) + (6)3)

      =  \frac{7}{2}(32 + 18)    

      =  \frac{7}{2}(50)

      = 7 * 25

      = 175




4 0
3 years ago
10) Solve using any method<br> 10x+2y=42<br> 5x+y=20
KIM [24]

Answer:

no solutions

Step-by-step explanation:

10x+2y=42

5x+y=20

Multiply the second equation by -2 to use elimination

-2(5x+y)=20*-2

-10x -2y = -40

Add this to the first equation

10x+2y=42

-10x -2y = -40

--------------------------

0 = 2

This is never true.  This means there are no solutions

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Answer:

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Step-by-step explanation:

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