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KengaRu [80]
3 years ago
8

-0.06m = 7.2 what is m?

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:

-120

Step-by-step explanation:

Nata [24]3 years ago
3 0
-0.06m=7.2
-0.06m/-0.06 = 7.2/-0.06
m = -120
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It is known that x1 and x2 are roots of the equation 3x^2+2x+k=0, where 2x1=−3x2. Find k.
miss Akunina [59]

Answer:

k = 8

Step-by-step explanation:

Since the roots of the equation 3x² + 2x + k are x₁ and x₂ and 2x₁ = 3x₂.

By the roots of an equation, ax² + bx + c , where its roots are  x₁ and x₂. It follows that sum of roots are x₁ + x₂ = -b/a and product of roots are x₁x₂ = c/a.

Comparing both equations, a = 3 b = 2 and c = k.

So, x₁ + x₂ = -b/a = -2/3 and x₁x₂ = c/a = k/3

x₁ + x₂ = -2/3 and x₁x₂ = k/3

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

Since 2x₁ = -3x₂, and -2x₁ = 3x₂substituting this into equations (1) and (2) above, we have

3x₁ + 3x₂ = -2 (1) and 3x₁x₂ = k  (2)

3x₁ + (-2x₁) = -2  and x₁(3x₂) = k

3x₁ - 2x₁ = -2  and x₁(3x₂) = k  

x₁ = -2  and x₁(-2x₁) = k  

x₁ = -2  and -2x₁² = k  

Substituting x₁ = -2 into -2x₁² = k, we have

-2x₁² = k

-2(-2)² = k

2(4) = k

8 = k

So, k = 8

7 0
3 years ago
Which two number does 46 lie
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4 0
3 years ago
Read 2 more answers
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kykrilka [37]

Answer:

A) 2 cm

Step-by-step explanation:

The sum of two sides of a triangle must be greater than the third side

2 + 3 is not greater than 5

8 0
2 years ago
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