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vlada-n [284]
3 years ago
8

Solve the equation: 10^5÷10^3 = _____

Mathematics
1 answer:
KIM [24]3 years ago
3 0

Answer:

100

Step-by-step explanation:

10^5= 100,000

10^3= 1,000

100,000÷1,000= 100

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What is the value of K?
Ksju [112]
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.

Explanation:

Given: A quadratic equation, kx2 - 14x + 8 = 0

Let the two zeros of the equation be α and β.

According to the given question, if one of the roots is α the other root will be 6α.

Thus, β = 6α

Hence, the two zeros are α and 6α.

We know that for a given quadratic equation ax2 + bx + c = 0

The sum of the zeros is expressed as,

α + β = - b / a

The product of the zeros is expressed as,

αβ = c / a

For the given quadratic equation kx2 - 14x + 8 = 0,

a = k, b = -14, c = 8

The sum of the zeros is:

α + 6α = 14 / k [Since the two zeros are α and 6α]

⇒ 7α = 14 / k

⇒ α = 2 / k --------------- (1)

The product of the zeros is:

⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]

⇒ 6α 2 = 8 / k

⇒ 6 (2 / k)2 = 8 / k [From (1)]

⇒ 6 × (4 / k) = 8

⇒ k = 24 / 8

⇒ k = 3
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2 years ago
Measuring segments for geometry, help please!:(
Airida [17]

Answer:

Y= 3

Step-by-step explanation:

RS=ST

9y+3=3y+5

5 0
2 years ago
Solve for m.<br> m/2 - square root 5= 3
nika2105 [10]
It is the first option, m= 5+ 2V5
5 0
3 years ago
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Please hw due at 4:55 help
stiv31 [10]
The answer is c. Thank you
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3 years ago
Solve p/7 = 14 for p
Paul [167]

P would equal 98 i believe because since you are dividing p by 7 you would have to do the reverse to get p by itself which would be p=14*7 or p=98

3 0
3 years ago
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